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searching for Control (optimal control theory) 104 found (112 total)

alternate case: control (optimal control theory)

Pontryagin's maximum principle (1,645 words) [view diff] no match in snippet view article find links to article

Pontryagin's maximum principle is used in optimal control theory to find the best possible control for taking a dynamical system from one state to another
I. Michael Ross (1,900 words) [view diff] no match in snippet view article find links to article
of Control and Optimization at the Naval Postgraduate School in Monterey, CA. He has published a highly-regarded textbook on optimal control theory and
Pseudospectral optimal control (1,510 words) [view diff] no match in snippet view article find links to article
pseudospectral (PS) theory with optimal control theory to produce a PS optimal control theory. PS optimal control theory has been used in ground and flight systems
Ross–Fahroo lemma (559 words) [view diff] no match in snippet view article find links to article
and F. Fahroo, the Ross–Fahroo lemma is a fundamental result in optimal control theory. It states that dualization and discretization are, in general,
Unscented optimal control (764 words) [view diff] no match in snippet view article find links to article
specific application of tychastic optimal control theory, which is a generalization of Riemmann-Stieltjes optimal control theory, a concept introduced by Ross
Transversality condition (108 words) [view diff] no match in snippet view article find links to article
In optimal control theory, a transversality condition is a boundary condition for the terminal values of the costate variables. They are one of the necessary
DIDO (software) (1,798 words) [view diff] no match in snippet view article
as a breakthrough software, DIDO is based on the pseudospectral optimal control theory of Ross and Fahroo. The latest enhancements to DIDO are described
Arthur E. Bryson (400 words) [view diff] no match in snippet view article find links to article
Engineering Emeritus at Stanford University and the "father of modern optimal control theory".[citation needed] With Henry J. Kelley, he also pioneered an early
Revaz Gamkrelidze (423 words) [view diff] no match in snippet view article find links to article
2025) was a Soviet and Georgian mathematician known for his work in optimal control theory and related fields. He was a member of the Georgian Academy of Sciences
Hamiltonian (control theory) (3,975 words) [view diff] no match in snippet view article
from—the Hamiltonian of classical mechanics, the Hamiltonian of optimal control theory was developed by Lev Pontryagin as part of his maximum principle
Markov chain approximation method (225 words) [view diff] no match in snippet view article find links to article
deterministic control theory such as optimal control theory. The basic idea of the MCAM is to approximate the original controlled process by a chosen controlled markov
Fariba Fahroo (444 words) [view diff] no match in snippet view article find links to article
Along with I. M. Ross, she has published papers in pseudospectral optimal control theory. The Ross–Fahroo lemma and the Ross–Fahroo pseudospectral method
Caratheodory-π solution (748 words) [view diff] no match in snippet view article find links to article
implementing feedback controls, particularly those generated by an application of Ross' pseudospectral optimal control theory. A Carathéodory-π solution
Lawrence C. Evans (868 words) [view diff] no match in snippet view article find links to article
understanding of the Hamilton–Jacobi–Bellman equation arising in stochastic optimal control theory, and to the theory of harmonic maps. He is also well known as the
Shape optimization (1,709 words) [view diff] no match in snippet view article find links to article
Shape optimization is part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a certain
Mikhail Zelikin (326 words) [view diff] no match in snippet view article find links to article
works on differential equations (in particular, Riccati equations), optimal control theory, differential games (for instance, Princess and monster game), the
Zuhair Nashed (194 words) [view diff] no match in snippet view article find links to article
analysis, optimization and approximation theory, operator theory, optimal control theory, signal analysis, and signal processing. Zuhair Nashed received
Laurence Chisholm Young (1,076 words) [view diff] no match in snippet view article find links to article
his contributions to measure theory, the calculus of variations, optimal control theory, and potential theory. He was the son of William Henry Young and
Aleksei Filippov (mathematician) (445 words) [view diff] no match in snippet view article
containing a lemma about implicit functions designed for use in optimal control theory that is named after him (Filippov's lemma). Filippov made an important
Ekaterina Kostina (407 words) [view diff] no match in snippet view article find links to article
numerical methods for nonlinear programming, robust optimization, and optimal control theory, and in the applications of these methods to the sciences. She is
Vladimir Zakalyukin (255 words) [view diff] no match in snippet view article find links to article
his research on singularity theory, differential equations, and optimal control theory. He obtained his Ph.D. at Moscow State University in 1977 (the thesis:
Nonlinear conjugate gradient method (1,211 words) [view diff] no match in snippet view article find links to article
method). The conjugate gradient method can also be derived using optimal control theory. In this accelerated optimization theory, the conjugate gradient
Andrzej Pliś (792 words) [view diff] no match in snippet view article find links to article
Polish mathematician, specializing in differential equations and optimal control theory. Pliś received his undergraduate degree from the Jagiellonian University
Magnus Hestenes (440 words) [view diff] no match in snippet view article find links to article
Wisconsin–Madison. (M.A. thesis) ——— (1966). Calculus of Variations and Optimal Control Theory. Wiley. ISBN 9780471374701. ——— (1975). Optimization Theory: The
Richard E. Bellman (1,586 words) [view diff] no match in snippet view article find links to article
dynamic programming. Almost any problem which can be solved using optimal control theory can also be solved by analyzing the appropriate Bellman equation
Suresh P. Sethi (2,054 words) [view diff] no match in snippet view article find links to article
Administration from Washington State University. Sethi, Suresh P. (2019). Optimal Control Theory. doi:10.1007/978-3-319-98237-3. ISBN 978-3-319-98236-6. Sethi, Suresh
Hitoshi Ishii (438 words) [view diff] no match in snippet view article find links to article
such as Hamilton–Jacobi equation, viscosity solutions of PDEs, optimal control theory, differential games, and evolution of surfaces. From 1987 to 1988
Fundamental matrix (linear differential equation) (253 words) [view diff] no match in snippet view article
Oxford University Press. ISBN 0-19-511777-8. Kirk, Donald E. (1970). Optimal Control Theory. Englewood Cliffs: Prentice-Hall. pp. 19–20. ISBN 0-13-638098-0
Value function (1,461 words) [view diff] no match in snippet view article find links to article
Control Theory and Applications. New York: Cambridge University Press. p. 185. ISBN 0-521-60368-4. Weber, Thomas A. (2011). Optimal Control Theory : with
Convex compactification (519 words) [view diff] no match in snippet view article find links to article
optimal control problems. The linear structure gives rise to various maximum principles as first-order necessary optimality conditions, known in optimal-control
Sethi-Skiba point (1,236 words) [view diff] no match in snippet view article find links to article
PMID 33558783. Sethi, Suresh P. (2021). "Optimal Control Theory". Sethi, S.P. (2021). " Optimal Control Theory: Applications to Management Science and
Faina Kirillova (585 words) [view diff] no match in snippet view article find links to article
in 2002. Kirillova has made extensive technical contributions in optimal control theory and optimization. She was an early proponent of using functional
Yurii Egorov (534 words) [view diff] no match in snippet view article find links to article
управления в бесконечномерных пространствах" ("Some Problems of Optimal Control Theory in Infinite-Dimensional Spaces"). In 1970 from MSU he received his
Bellman equation (4,004 words) [view diff] no match in snippet view article find links to article
condition in optimal control theory Markov decision process – Mathematical model for sequential decision making under uncertainty Optimal control theory – Mathematical
Sanjoy K. Mitter (388 words) [view diff] no match in snippet view article find links to article
nonlinear filtering and optimal control theory, as well as carrying out more applied work in image analysis, computation of optimal controls and reliability of
Legendre–Clebsch condition (270 words) [view diff] no match in snippet view article find links to article
"A General Fixed Endpoint Problem". Calculus of Variations and Optimal Control Theory. New York: John Wiley & Sons. pp. 250–295. "Legendre condition"
Coherent control (2,913 words) [view diff] no match in snippet view article find links to article
interfering pathways controlled by one and three photons. The two basic methods eventually merged with the introduction of optimal control theory. Experimental
Hilbert's twenty-third problem (573 words) [view diff] no match in snippet view article find links to article
developed new mathematical tools for the calculus of variations in optimal control theory. The dynamic programming of Richard Bellman is an alternative to
Gerald L. Thompson (787 words) [view diff] no match in snippet view article find links to article
and network programming, computational economics, market games, optimal control theory, scheduling theory and practice, and management. In 2001, Thompson
Legendre pseudospectral method (799 words) [view diff] no match in snippet view article find links to article
4128–4142, Dec. 2007. Kang, W.; Bedrossian, N. "Pseudospectral Optimal Control Theory Makes Debut Flight, Saves NASA $1M in Under Three Hours". SIAM News
Mathematical economics (10,736 words) [view diff] no match in snippet view article find links to article
distinction is between deterministic and stochastic control models. Other applications of optimal control theory include those in finance, inventories, and production
Fundamental lemma of the calculus of variations (1,649 words) [view diff] no match in snippet view article find links to article
Russian). Hestenes, Magnus R. (1966), Calculus of variations and optimal control theory, John Wiley Giaquinta, Mariano; Hildebrandt, Stefan (1996), Calculus
Khanh D. Pham (3,814 words) [view diff] no match in snippet view article find links to article
work in statistical optimal control theory, game-theoretic operations research of military satellite communications, space control autonomy, and space
Lagrange multiplier (7,988 words) [view diff] no match in snippet view article find links to article
solutions are local minima for the Hamiltonian. This is done in optimal control theory, in the form of Pontryagin's maximum principle. The fact that solutions
Set-valued function (915 words) [view diff] no match in snippet view article find links to article
generalizations of measure to multifunctions. Set-valued functions arise in optimal control theory, especially differential inclusions and related subjects as game
Hélène Frankowska (307 words) [view diff] no match in snippet view article find links to article
control theory and optimization. She is a SIAM Fellow, in the 2024 class of fellows, elected "for fundamental and pioneering contributions to optimal
Mathematical optimization (6,175 words) [view diff] no match in snippet view article find links to article
the least possible area. Optimal control theory is a generalization of the calculus of variations which introduces control policies. Dynamic programming
Recursive economics (854 words) [view diff] no match in snippet view article find links to article
programming Hamilton–Jacobi–Bellman equation Markov decision process Optimal control theory Optimal substructure Recursive competitive equilibrium Bellman pseudospectral
Lev Pontryagin (1,032 words) [view diff] no match in snippet view article find links to article
spaces called Pontryagin spaces. Starting in 1952, he worked in optimal control theory. His maximum principle is fundamental to the modern theory of optimization
Direct digital control (788 words) [view diff] no match in snippet view article find links to article
in a growth chamber. Using an algorithm based on optimal control theory, it is possible to control the speed of an induction motor using a microcontroller
Robert Pindyck (2,011 words) [view diff] no match in snippet view article find links to article
economics in 1971. His PhD dissertation dealt with the application of optimal control theory to the design of monetary and fiscal policy for macroeconomic stabilization
Jerome C. Hunsaker Visiting Professor of Aerospace Systems (1,379 words) [view diff] no match in snippet view article find links to article
2011-06-25. Retrieved 2008-09-16. Hyatt, Abraham (1966). Applications of Optimal Control Theory in Aerospace Engineering (Minta Martin Lecture). Cambridge, MA:
Inflationary bias (1,660 words) [view diff] no match in snippet view article find links to article
than discretion: The inconsistency of optimal plans, in 1977: "Optimal control theory is an appropriate planning device for situations in which current
Mathematics, Form and Function (350 words) [view diff] no match in snippet view article find links to article
morphism Seeking to do better Optimization Operations research; optimal control theory; dynamic programming Choosing; gambling Chance Probability theory;
Michael Athans (1,026 words) [view diff] no match in snippet view article find links to article
Athanassiades in Drama, Greece, May 3, 1937 - May 26, 2020) was a Greek-American control theorist and a Professor Emeritus in the Department of Electrical Engineering
Daniel Liberzon (489 words) [view diff] no match in snippet view article find links to article
the books "Switching in Systems and Control" (Birkhauser, 2003) and "Calculus of Variations and Optimal Control Theory: A Concise Introduction" (Princeton
List of systems scientists (2,436 words) [view diff] no match in snippet view article find links to article
Belarus. Author of over 350 scientific papers and monographs about optimal control theory. George Klir (1932–2016) Czech-American computer scientist and professor
Backpropagation (7,993 words) [view diff] no match in snippet view article find links to article
backpropagation appeared in optimal control theory since 1950s. Yann LeCun et al credits 1950s work by Pontryagin and others in optimal control theory, especially the
Philippe Michel (economist) (483 words) [view diff] no match in snippet view article
contributions were in the field of mathematics, with a focus on optimal control theory. As the methods developed in this field are important tools used
Mamadsho Ilolov (459 words) [view diff] no match in snippet view article find links to article
branch of the Tajik Academy of Science. Differential Equations, Optimal Control Theory, History of Mathematics; Doctor of Physical and Mathematical Sciences
Gregory Chow (756 words) [view diff] no match in snippet view article find links to article
forecasting with time series methods. He made major contributions to optimal control theory and its application to stochastic economic systems. His doctoral
Benoit Perthame (497 words) [view diff] no match in snippet view article find links to article
thesis focuses on non-linear partial differential equations in optimal control theory, hydrodynamics and kinetic theory. In 1988, he was professor at
Blaschke–Lebesgue theorem (1,106 words) [view diff] no match in snippet view article find links to article
doi:10.1007/BF02930861, MR 1881292 Malagoli, Federica (2009), "An optimal control theory approach to the Blaschke–Lebesgue theorem", Journal of Convex Analysis
Czesław Olech (1,542 words) [view diff] no match in snippet view article find links to article
Contribution to optimal control theory: establishing a most general version of the so-called bang-bang principle for linear control problem by detailed
Irmgard Flügge-Lotz (2,032 words) [view diff] no match in snippet view article find links to article
www-history.mcs.st-and.ac.uk. Retrieved 20 August 2017. Kirk, Donald E. Optimal Control Theory: An Introduction. Dover Publications, 2004. Stanford Engineering
Sethi model (1,865 words) [view diff] no match in snippet view article find links to article
Optimal Control Applications and Methods. 4 (2): 179–184. doi:10.1002/oca.4660040207. S2CID 123673289. Sethi, S.P. (2021). Optimal Control Theory: Applications
Nancy Lou Schwartz (811 words) [view diff] no match in snippet view article find links to article
Kamien, M. I., & Schwartz, N. L. (1971). Sufficient conditions in optimal control theory. Journal of Economic Theory, 3(2), 207-214. Kamien, M. I., & Schwartz
Frederic Wan (2,499 words) [view diff] no match in snippet view article find links to article
mathematical biology, a recent work relating (by the Maximum Principle in optimal control theory) the life cycle of the infectious disease Chlamydia to the bacteria's
Silvia Ferrari (1,445 words) [view diff] no match in snippet view article find links to article
interests include optimal control theory, sensor networks, intelligent systems, feedback control of dynamic systems, and multivariable control.  She will be
Motor control (8,152 words) [view diff] no match in snippet view article find links to article
also in line with the Fitts' Law and speed-accuracy trade-off. Optimal control theory was used to further extend the model based on signal-dependent noise
Proportional navigation (1,188 words) [view diff] no match in snippet view article find links to article
maximizes missile velocity while minimizing miss distance using optimal control theory. Holcocephala fusca and Coenosia attenuata are two species of predatory
Vadim Komkov (379 words) [view diff] no match in snippet view article find links to article
24. D. Reidel Publishing Co., Dordrecht. Komkov, Vadim (1972) Optimal control theory for the damping of vibrations of simple elastic systems. Lecture
Cybernetical physics (3,035 words) [view diff] no match in snippet view article find links to article
other criteria and for more complex situations based on modern optimal control theory. As a result, a new direction in thermodynamics arose known under
Dynamic programming (9,283 words) [view diff] no match in snippet view article find links to article
Control in Economics and Management (Second ed.). New York: Elsevier. p. 261. ISBN 978-0-444-01609-6. Kirk, Donald E. (1970). Optimal Control Theory:
Non-convexity (economics) (4,102 words) [view diff] no match in snippet view article
Processes. The M.I.T. Press. Sethi, S. P.; Thompson, G. L. (2000). Optimal Control Theory: Applications to Management Science and Economics (2nd ed.). Berlin:
Conjugate gradient method (8,421 words) [view diff] no match in snippet view article find links to article
above. The conjugate gradient method can also be derived using optimal control theory. In this approach, the conjugate gradient method falls out as an
Gradient descent (5,600 words) [view diff] no match in snippet view article find links to article
Springer Vieweg. ISBN 978-3-658-11455-8. Ross, I.M. (July 2019). "An optimal control theory for nonlinear optimization". Journal of Computational and Applied
Random matrix (7,240 words) [view diff] no match in snippet view article find links to article
In optimal control theory, the evolution of n state variables through time depends at any time on their own values and on the values of k control variables
Inverse problem (9,072 words) [view diff] no match in snippet view article find links to article
system: it is the solution of the mathematical model's equation. In optimal control theory, these equations are referred to as the state equations. In many
Cerebellum (11,663 words) [view diff] no match in snippet view article find links to article
Fujita made attempts to understand cerebellar function in terms of optimal control theory. The idea that climbing fiber activity functions as an error signal
Science and technology in Russia (3,837 words) [view diff] no match in snippet view article find links to article
to topology and functional analysis and a founder of the modern optimal control theory, Andrey Tychonoff, who was the author of the "central theorem" of
Undergraduate Texts in Mathematics (4,190 words) [view diff] no match in snippet view article find links to article
ISBN 978-0-387-90481-8. Macki, Jack; Strauss, Aaron (1981). Introduction to Optimal Control Theory. ISBN 978-0-387-90624-9. Foulds, L. R. (1981). Optimization Techniques:
Data assimilation (4,729 words) [view diff] no match in snippet view article find links to article
advance in the development of the 4DDA methods was utilizing the optimal control theory (variational approach) in the works of Le Dimet and Talagrand (1986)
Calculus of variations (9,524 words) [view diff] no match in snippet view article find links to article
developed new mathematical tools for the calculus of variations in optimal control theory. The dynamic programming of Richard Bellman is an alternative to
List of Stanford University faculty and staff (4,981 words) [view diff] no match in snippet view article find links to article
professor emeritus in Aeronautics and Astronautics, father of modern optimal control theory Roland Doré, former president of the Canadian Space Agency William
List of fellows of IEEE Control Systems Society (57 words) [view diff] no match in snippet view article find links to article
outstanding computer control laboratory" 1985 Jason Speyer "For contributions to deterministic and stochastic optimal control theory and applications" 1985
Game theory (15,399 words) [view diff] no match in snippet view article find links to article
optimal strategy in a differential game is closely related to the optimal control theory. In particular, there are two types of strategies: the open-loop
Mathematical oncology (1,184 words) [view diff] no match in snippet view article find links to article
; Virostko, J.; Biros, G.; Patt, D.; Yankeelov, T. E. (2020). "Optimal Control Theory for Personalized Therapeutic Regimens in Oncology: Background, History
Microswimmer (14,757 words) [view diff] no match in snippet view article find links to article
classical problems are well-explored and are usually solved using optimal control theory. Likewise, navigation and search strategies are frequently encountered
Fermat's and energy variation principles in field theory (2,218 words) [view diff] no match in snippet view article find links to article
a variable. It is applied Pontryagin’s minimum principle of the optimal control theory and obtained an effective Hamiltonian for the light-like particle
Shadow price (3,684 words) [view diff] no match in snippet view article find links to article
an optimization problem has a shadow price or dual variable. In optimal control theory, the concept of shadow price is reformulated as costate equations
Input-to-state stability (3,535 words) [view diff] no match in snippet view article find links to article
to state stability: basic concepts and results. In Nonlinear and optimal control theory, volume 1932 of Lecture Notes in Math., pages 163–220, Berlin, 2008
Paul Samuelson (4,675 words) [view diff] no match in snippet view article find links to article
Economic Ideas. 20 (2): 113–36. Merton, Robert C. (1970). Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics (PhD dissertation)
Ilya Kuprov (1,128 words) [view diff] no match in snippet view article find links to article
electron spin resonance problems in structural biology, quantum optimal control theory, and gravitation sensors using atom interferometers. Kuprov maintains
Free energy principle (6,424 words) [view diff] no match in snippet view article find links to article
Kappen, H. J. (2005). "Path integrals and symmetry breaking for optimal control theory". Journal of Statistical Mechanics: Theory and Experiment. 2005
List of Iowa State University alumni (6,449 words) [view diff] no match in snippet view article find links to article
Markov chain theorist Arthur E. Bryson, Jr., "father of modern optimal control theory" Gertrude Cox, B.S. 1929, statistician, president of American Statistical
Timeline of quantum computing and communication (22,774 words) [view diff] no match in snippet view article find links to article
Japanese institutions develop a systematic method that applies optimal control theory (GRAPE algorithm) to identify the theoretically optimal sequence
Human performance modeling (7,504 words) [view diff] no match in snippet view article find links to article
other simple operating principles, but is not as detailed as the optimal control theory model (as of yet). The notion, however, is that each of these modules
List of aerospace engineers (6,509 words) [view diff] no match in snippet view article find links to article
hydrazine thruster Arthur E. Bryson (born 1925) – "father of modern optimal control theory" Carl Clemens Bücker [de] (1895–1976) – founder of Bücker-Flugzeugbau
Middle Eastern Americans (12,421 words) [view diff] no match in snippet view article find links to article
Along with I. M. Ross, she has published papers in pseudospectral optimal control theory. The Ross–Fahroo lemma and the Ross–Fahroo pseudospectral method
List of Iranian Americans (15,512 words) [view diff] no match in snippet view article find links to article
Along with I. M. Ross, she has published papers in pseudospectral optimal control theory. The Ross–Fahroo lemma and the Ross–Fahroo pseudospectral method
Glossary of economics (25,481 words) [view diff] no match in snippet view article find links to article
Law Review. SSRN. SSRN 2040946. Kirk, Donald E. (1 January 2004). Optimal Control Theory: An Introduction. Courier Corporation. p. 70. ISBN 978-0-486-43484-1
List of University of Michigan alumni (24,101 words) [view diff] no match in snippet view article find links to article
analysis, optimization and approximation theory, operator theory, optimal control theory, signal analysis, and signal processing Peter Orlik (born 12 November
Glossary of areas of mathematics (7,692 words) [view diff] no match in snippet view article find links to article
Operator theory part of functional analysis studying operators. Optimal control theory a generalization of the calculus of variations. Optimal maintenance