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Longer titles found: Nonlinear system identification (view)

searching for Nonlinear system 88 found (159 total)

Multiplicity (mathematics) (1,778 words) [view diff] no match in snippet view article

Look up multiplicity in Wiktionary, the free dictionary. In mathematics, the multiplicity of a member of a multiset is the number of times it appears in

Linear stability (764 words) [view diff] exact match in snippet view article find links to article

systems, a particular stationary or quasistationary solution to a nonlinear system is called linearly unstable if the linearization of the equation at

System of differential equations (1,160 words) [view diff] exact match in snippet view article find links to article

nonlinear system of differential equations is the Navier–Stokes equations. Unlike the linear case, the existence of a solution of a nonlinear system is

Volterra series (4,305 words) [view diff] exact match in snippet view article find links to article

The Taylor series can be used for approximating the response of a nonlinear system to a given input if the output of the system depends strictly on the

Catastrophe theory (2,885 words) [view diff] exact match in snippet view article find links to article

function (Lyapunov function). Small changes in certain parameters of a nonlinear system can cause equilibria to appear or disappear, or to change from attracting

Linear dynamical system (865 words) [view diff] exact match in snippet view article find links to article

Occasionally, a nonlinear system can be solved exactly by a change of variables to a linear system. Moreover, the solutions of (almost) any nonlinear system can be

Intermodulation (2,532 words) [view diff] exact match in snippet view article find links to article

harmonic distortion in that the stimulus signal is different. The same nonlinear system will produce both total harmonic distortion (with a solitary sine wave

Wiener series (1,191 words) [view diff] exact match in snippet view article find links to article

applications by the Lee–Schetzen method. The Wiener series is important in nonlinear system identification. In this context, the series approximates the functional

Multidimensional digital pre-distortion (2,841 words) [view diff] exact match in snippet view article find links to article

same digital pre-distorter but do concurrently pass through the same nonlinear system. Its ability to do so comes from the portion of multidimensional signal

Alan C. Newell (864 words) [view diff] exact match in snippet view article find links to article

and Zakharov, solved the MMT conundrum in which an initially weakly nonlinear system relaxes not to a wave turbulence state dominated by a resonant waves

Consistent and inconsistent equations (1,070 words) [view diff] exact match in snippet view article find links to article

of them therefore having x + y = 2 for any values of x and y. The nonlinear system x 2 + y 2 + z 2 = 10 , x 2 + y 2 = 5 {\displaystyle

Spectral submanifold (1,006 words) [view diff] exact match in snippet view article find links to article

properties of eigenspaces of a linear dynamical system can be extended to a nonlinear system, and therefore motivates the use of SSMs in nonlinear dimensionality

Describing function (1,288 words) [view diff] case mismatch in snippet view article find links to article

ISBN / Date incompatibility (help) Blaquiere, Austin (2012-12-02). Nonlinear System Analysis. Elsevier Science. p. 177. ISBN 978-0323151665. Kochenburger

Intelligent control (463 words) [view diff] case mismatch in snippet view article find links to article

; Golnaraghi, F.; Kubica, E. (2010). "A Novel Fuzzy Framework for Nonlinear System Control". Fuzzy Sets and Systems. 161 (21): 2746–2759. doi:10.1016/j

Superposition principle (2,722 words) [view diff] exact match in snippet view article find links to article

be applied to both linear and nonlinear systems. Next, consider a nonlinear system x ˙ = A x + B ( u 1 + u 2 ) + ϕ ( c T x ) , x ( 0 ) = x 0 , {\displaystyle

Nonlinear autoregressive exogenous model (397 words) [view diff] case mismatch in snippet view article find links to article

test) developed for econometrics can be used. S. A. Billings. "Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal

Lyapunov exponent (3,176 words) [view diff] exact match in snippet view article find links to article

original system but, at the same time, this zero solution of the original nonlinear system is Lyapunov unstable. Furthermore, in a certain neighborhood of this

Norbert Wiener (4,749 words) [view diff] exact match in snippet view article find links to article

applied Hermite-Laguerre expansion to nonlinear system identification and control. Specifically, a nonlinear system can be identified by inputting a white

Adomian decomposition method (4,974 words) [view diff] no match in snippet view article find links to article

The Adomian decomposition method (ADM) is a semi-analytical method for solving ordinary and partial nonlinear differential equations. The method was developed

Flatness (systems theory) (559 words) [view diff] exact match in snippet view article

terms of the flat output and a finite number of its derivatives. A nonlinear system x ˙ ( t ) = f ( x ( t ) , u ( t ) ) , x ( 0 ) = x 0 , u ( t ) ∈ R m

Model predictive control (3,642 words) [view diff] exact match in snippet view article find links to article

variant of model predictive control that is characterized by the use of nonlinear system models in the prediction. As in linear MPC, NMPC requires the iterative

Frequency response (1,282 words) [view diff] case mismatch in snippet view article find links to article

Englewood Cliffs, NJ: Prentice-Hall, 1975. – 720 pp Billings S.A. "Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal

Peter Lax (1,787 words) [view diff] case mismatch in snippet view article find links to article

Scientific career Fields Mathematics Institutions Courant Institute Thesis Nonlinear System of Hyperbolic Partial Differential Equations in Two Independent Variables

Branches of physics (1,889 words) [view diff] exact match in snippet view article find links to article

chaos theory, illustrates how a minor alteration in one aspect of a nonlinear system can result in significant variations later on, highlighting a fragile

Wei Biao Wu (555 words) [view diff] exact match in snippet view article find links to article

their descendants working in academia. His most cited article, WB Wu, Nonlinear system theory: Another look at dependence in Proceedings of the National Academy

Extended Kalman filter (3,779 words) [view diff] exact match in snippet view article find links to article

the additive noise EKF. In certain cases, the observation model of a nonlinear system cannot be solved for z k {\displaystyle {\boldsymbol {z}}_{k}} , but

Homotopy analysis method (2,128 words) [view diff] exact match in snippet view article find links to article

homotopy parameter only on a theoretical level to demonstrate that a nonlinear system may be split into an infinite set of linear systems which are solved

Arthur J. Krener (754 words) [view diff] exact match in snippet view article find links to article

for his contributions. It also led to the concept of the zero of a nonlinear system, which was subsequently developed by Byrnes and Isidori and extended

Andrew Viterbi (1,571 words) [view diff] exact match in snippet view article find links to article

the ideas of the possibility of determining the global behavior of a nonlinear system via linear analysis and various well-known conjectures on global stability

Hyperbolic equilibrium point (645 words) [view diff] exact match in snippet view article find links to article

the orbit structure of the linearized dynamical system. Consider the nonlinear system d x d t = y , d y d t = − x − x 3 − α y , α ≠ 0 {\displaystyle

Center manifold (2,574 words) [view diff] exact match in snippet view article find links to article

the linearized system, the nonlinear system has invariant manifolds, each consisting of sets of orbits of the nonlinear system. An invariant manifold tangent

Slow manifold (1,858 words) [view diff] exact match in snippet view article find links to article

possibly empty. Correspondingly, the nonlinear system has invariant manifolds, made of trajectories of the nonlinear system, corresponding to each of these

Four-wave mixing (1,227 words) [view diff] exact match in snippet view article find links to article

photons, producing the fourth photon. Given inputs f1, f2, and f3, the nonlinear system will produce ± f 1 ± f 2 ± f 3 {\displaystyle \pm f_{1}\pm f_{2}\pm

Paradox of enrichment (1,524 words) [view diff] exact match in snippet view article find links to article

determine the stability of the steady states by approximating the nonlinear system by a linear system. After differentiating each f {\displaystyle f}

Stability theory (2,934 words) [view diff] exact match in snippet view article find links to article

tests of stability for the case of a linear system. Stability of a nonlinear system can often be inferred from the stability of its linearization. Let

Klaus Hasselmann (2,119 words) [view diff] exact match in snippet view article find links to article

weather), but translated to a much more complicated high-dimensional nonlinear system. Knowledge of the short-term fluctuations of the weather then allows

Poincaré plot (962 words) [view diff] exact match in snippet view article find links to article

an acute myocardial infarction.1–4 A number of new methods based on nonlinear system theory ("chaos theory and fractals") have been recently developed to

Rhumb line (2,870 words) [view diff] exact match in snippet view article find links to article

points can be done graphically on a Mercator map, or by solving a nonlinear system of two equations in the two unknowns m = cot β and λ0. There are infinitely

Genetic programming (3,543 words) [view diff] exact match in snippet view article find links to article

February 2012). "A new multi-gene genetic programming approach to nonlinear system modeling. Part I: materials and structural engineering problems". Neural

Zero dynamics (632 words) [view diff] exact match in snippet view article find links to article

ISSN 1474-6670. Isidori, Alberto (September 2013). "The zero dynamics of a nonlinear system: From the origin to the latest progresses of a long successful story"

Numerical continuation (3,831 words) [view diff] exact match in snippet view article find links to article

0 ) {\displaystyle \Gamma (\mathbf {u} _{0},\lambda _{0})} of the nonlinear system F {\displaystyle F} is a set of points ( u , λ ) {\displaystyle (\mathbf

Cross-correlation (4,083 words) [view diff] case mismatch in snippet view article find links to article

Classifier (MS thesis). University of Pittsburgh. Billings, S. A. (2013). Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal

Ensemble forecasting (3,367 words) [view diff] exact match in snippet view article find links to article

ensemble forecasts derives from the fact that in a chaotic and hence nonlinear system, the rate of growth of forecast error is dependent on starting conditions

Gradient descent (5,600 words) [view diff] exact match in snippet view article find links to article

example shows one iteration of the gradient descent. Consider the nonlinear system of equations { 3 x 1 − cos ⁡ ( x 2 x 3 ) − 3 2 = 0 4 x 1 2 − 625 x

Sonja Glavaški (350 words) [view diff] exact match in snippet view article find links to article

there. Her 1998 doctoral dissertation, Robust system analysis and nonlinear system model reduction, was supervised by John Doyle. She worked in industry

Symmetry-preserving filter (838 words) [view diff] exact match in snippet view article find links to article

_{g},\psi _{g},\rho _{g}} , where g ∈ G {\displaystyle g\in G} . The nonlinear system x ˙ = f ( x , u ) y = h ( x , u ) {\displaystyle {\begin{aligned}{\dot

Decibel (9,569 words) [view diff] exact match in snippet view article find links to article

{P(t)}{P_{0}}}=\left({\frac {F(t)}{F_{0}}}\right)^{2}} holding. In a nonlinear system, this relationship does not hold by the definition of linearity. However

Carleman linearization (926 words) [view diff] exact match in snippet view article find links to article

theory and in quantum computing. Consider the following autonomous nonlinear system: x ˙ = f ( x ) + ∑ j = 1 m g j ( x ) d j ( t ) {\displaystyle {\dot

Carleman linearization (926 words) [view diff] exact match in snippet view article find links to article

theory and in quantum computing. Consider the following autonomous nonlinear system: x ˙ = f ( x ) + ∑ j = 1 m g j ( x ) d j ( t ) {\displaystyle {\dot

Non-linear least squares (4,539 words) [view diff] exact match in snippet view article find links to article

{\partial r_{i}}{\partial \beta _{j}}}=0\quad (j=1,\ldots ,n).} In a nonlinear system, the derivatives ∂ r i ∂ β j {\textstyle {\frac {\partial r_{i}}{\partial

Digital filter (3,692 words) [view diff] case mismatch in snippet view article find links to article

"Analog's answer to FPGA opens field to masses". EETimes. Billings S.A. "Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal

Nyquist stability criterion (3,429 words) [view diff] case mismatch in snippet view article find links to article

Chaffey, Thomas; Forni, Fulvio; Sepulchre, Rodolphe (2023). "Graphical Nonlinear System Analysis". IEEE Transactions on Automatic Control. 68 (10): 6067–6081

Numerical methods in fluid mechanics (1,297 words) [view diff] exact match in snippet view article find links to article

situations like a nonlinear right hand side or a system of equations, a nonlinear system of equations may have to be inverted. Sources Zalesak, S. T., 2005

Newton's method (8,960 words) [view diff] exact match in snippet view article find links to article

Jacobian matrix J+ = (JTJ)−1JT instead of the inverse of J. If the nonlinear system has no solution, the method attempts to find a solution in the non-linear

Eleni Chatzi (1,842 words) [view diff] case mismatch in snippet view article find links to article

strusafe.2010.03.008. Chatzi, Eleni; Smyth, Andrew (26 September 2014). "Nonlinear System Identification: Particle-Based Methods". Encyclopedia of Earthquake

Weakly dependent random variables (976 words) [view diff] exact match in snippet view article find links to article

1016/0167-7152(92)90096-N. ISSN 0167-7152. Wu, Wei Biao (2005-10-04). "Nonlinear system theory: Another look at dependence". Proceedings of the National Academy

Antiresonance (1,830 words) [view diff] exact match in snippet view article find links to article

characterize the thermal fluctuation and the squeezing parameter of the nonlinear system. Resonance Oscillator Resonance (alternating-current circuits) Tuned

State-space representation (4,759 words) [view diff] exact match in snippet view article find links to article

dropped if the system is unforced (i.e., it has no inputs). A classic nonlinear system is a simple unforced pendulum m ℓ 2 θ ¨ ( t ) = − m ℓ g sin ⁡ θ ( t

Adaptive filter (2,618 words) [view diff] case mismatch in snippet view article find links to article

Comminiello; José C. Príncipe (2018). Adaptive Learning Methods for Nonlinear System Modeling. Elsevier Inc. ISBN 978-0-12-812976-0. M.Poluektov and A.Polar

Control-Lyapunov function (1,668 words) [view diff] exact match in snippet view article find links to article

{\displaystyle f} and g {\displaystyle g} , respectively. For the general nonlinear system (1), the input u {\displaystyle u} can be found by solving a static

Navier–Stokes equations (15,470 words) [view diff] exact match in snippet view article find links to article

comparatively more compact than other representations, this is still a nonlinear system of partial differential equations for which solutions are difficult

Ellipse (16,568 words) [view diff] exact match in snippet view article find links to article

b = N . {\displaystyle a^{2}+b^{2}=M,\quad ab=N\ .} Solving this nonlinear system for a , b {\displaystyle a,b} yields the semiaxes: a = 1 2 ( M + 2

Stephen Billings (262 words) [view diff] case mismatch in snippet view article find links to article

Stephen A.[permanent dead link] at ISIHighlyCited.com Billings S.A. "Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal

Product integral (4,092 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-912938-01-3, Lee Press, 1972. Michael Grossman. The First Nonlinear System of Differential And Integral Calculus, ISBN 0977117006, 1979. Michael

Richard Levins (2,947 words) [view diff] exact match in snippet view article find links to article

2007. Predescu, M.; Levins, R.; Awerbuch, T.E. (2006). "Analysis of a nonlinear system for community intervention in mosquito control". Discrete & Continuous

21st Century Slave (1,987 words) [view diff] case mismatch in snippet view article find links to article

including: Epochate, Deflore, Aquefrigide, Mithra, Richard Christ, Nonlinear System Theory, Neon Synthesis, and Kardia. Concerning future projects exclusive

Prognostics (3,870 words) [view diff] exact match in snippet view article find links to article

detect changes in system states. The classical data-driven methods for nonlinear system prediction include the use of stochastic models such as the autoregressive

Robotic prosthesis control (1,610 words) [view diff] exact match in snippet view article find links to article

Functions(RES-CLF). Control Lyapunov function are used to stabilize a nonlinear system to a desired set of states. RES-CLFs can be realized using quadratic

Terminal sliding mode (619 words) [view diff] exact match in snippet view article find links to article

behavior at the origin since it is non-Lipschitz. Consider a continuous nonlinear system in canonical form x ⋅ 1 ( t ) = x 2 ( t ) {\displaystyle {\overset

John Casti (1,661 words) [view diff] case mismatch in snippet view article find links to article

Large-Scale Systems. Chichester, UK: John Wiley & Sons. Casti, John (1985). Nonlinear System Theory. New York: Academic Press. Casti, John (1987). Linear Dynamical

Functional specialization (brain) (4,452 words) [view diff] exact match in snippet view article

system. Many regions in the brain are physically interconnected in a nonlinear system, hence, Uttal believes that behaviour is produced by a variety of system

State observer (5,756 words) [view diff] exact match in snippet view article find links to article

described above uses this method several times to obtain the state of the nonlinear system ideally in finite time. The modified observation error can be written

Cybernetical physics (3,035 words) [view diff] exact match in snippet view article find links to article

even small feedback action can dramatically change the behavior of a nonlinear system, e.g., turn chaotic motions into periodic ones and vice versa. The

CORDIC (7,232 words) [view diff] case mismatch in snippet view article find links to article

S2CID 203992880. Vachhani, Leena (November 2019). "CORDIC as a Switched Nonlinear System". Circuits, Systems and Signal Processing. 39 (6): 3234–3249. doi:10

First-class constraint (4,561 words) [view diff] exact match in snippet view article find links to article

Hirshfeld, A. C. (1983). "Dirac-bracket quantisation of a constrained nonlinear system: The rigid rotator". European Journal of Physics. 4 (1): 5–9. Bibcode:1983EJPh

Linear parameter-varying control (1,364 words) [view diff] exact match in snippet view article find links to article

the exogenous variables. Hence, the model will be a time varying, nonlinear system, with the future time variation unknown, but measured by the sensors

List of fellows of IEEE Control Systems Society (57 words) [view diff] exact match in snippet view article find links to article

system theory" 1987 Alberto Isidori "For fundamental contributions to nonlinear system theory" 1987 Vincent Poor "For contributions to the theory of robust

Phase reduction (1,779 words) [view diff] exact match in snippet view article find links to article

analyze the reduced phase equation corresponding to the perturbed nonlinear system, we need to solve a PDE, which is not a trivial one. So we need to

Affect-logics (2,603 words) [view diff] exact match in snippet view article find links to article

Dauwalder, J.P. (eds): Dynamics, synergetics, autonomous agents. Nonlinear system approach to cognitive psychology and cognitive science. World Scientific

Hollywood Monsters (video game) (5,669 words) [view diff] exact match in snippet view article

enabled when no other action is chosen. Hollywood Monsters features a nonlinear system of progression, although the player character cannot die or reach a

Glossary of electrical and electronics engineering (19,294 words) [view diff] exact match in snippet view article find links to article

frequency increases. sliding mode control A control strategy for a nonlinear system that uses discontinuous control signals. slip ring A sliding continuous

Vladimir Ilyin (mathematician) (1,334 words) [view diff] exact match in snippet view article

existence conditions for a complete system of motion integrals of a nonlinear system generated ( L , A ) {\displaystyle (L,A)} by a Lax pair. From 1999

Vladimir Ilyin (mathematician) (1,334 words) [view diff] exact match in snippet view article

existence conditions for a complete system of motion integrals of a nonlinear system generated ( L , A ) {\displaystyle (L,A)} by a Lax pair. From 1999

Katya Rodríguez-Vázquez (344 words) [view diff] exact match in snippet view article find links to article

K.; Fleming, P.J. (1998), "Multi-objective genetic programming for nonlinear system identification", Electronics Letters, 34 (9): 930, Bibcode:1998ElL

Particle filter (16,893 words) [view diff] case mismatch in snippet view article find links to article

"Intelligent Particle Filter and Its Application to Fault Detection of Nonlinear System". IEEE Transactions on Industrial Electronics. 62 (6): 1. doi:10.1109/TIE

Wassim Michael Haddad (4,322 words) [view diff] case mismatch in snippet view article find links to article

S2CID 14884075. Leonessa, A.; W. M. Haddad; V. Chellaboina (2001). "Nonlinear System Stabilization via Hierarchical Switching Control" (PDF). IEEE Transactions

List of California Institute of Technology people (14,424 words) [view diff] exact match in snippet view article find links to article

contributor to theory of vibrations, modeling of structural systems, nonlinear system identification, machinery dynamics and vibration, earthquake response

Innovation method (6,480 words) [view diff] case mismatch in snippet view article find links to article

Haughton, D. (eds.), "The Local Linearization Filter with Application to Nonlinear System Identifications", Proceedings of the First US/Japan Conference on the