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There is a page named "Control-Lyapunov function" on Wikipedia

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  • In control theory, a control-Lyapunov function (CLF) is an extension of the idea of Lyapunov function V ( x ) {\displaystyle V(x)} to systems with control...
    9 KB (1,668 words) - 18:22, 30 May 2024
  • ODE. Lyapunov functions (also called Lyapunov’s second method for stability) are important to stability theory of dynamical systems and control theory...
    7 KB (1,083 words) - 15:27, 2 February 2024
  • Thumbnail for Aleksandr Lyapunov
    Lyapunov equation Lyapunov exponent Lyapunov fractal Lyapunov function Lyapunov stability Lyapunov time Lyapunov's central limit theorem Lyapunov's condition...
    14 KB (1,585 words) - 19:31, 4 March 2024
  • linear for purposes of control design: Feedback linearization And Lyapunov based methods: Lyapunov redesign Control-Lyapunov function Nonlinear damping Backstepping...
    12 KB (1,328 words) - 20:01, 14 January 2024
  • The Lyapunov equation, named after the Russian mathematician Aleksandr Lyapunov, is a matrix equation used in the stability analysis of linear dynamical...
    8 KB (1,500 words) - 12:19, 18 May 2024
  • as a control, external input, stimulus, disturbance, or forcing function. It has been shown that near to a point of equilibrium which is Lyapunov stable...
    24 KB (3,883 words) - 16:08, 9 July 2024
  • refers to the use of a Lyapunov function to optimally control a dynamical system. Lyapunov functions are used extensively in control theory to ensure different...
    13 KB (2,370 words) - 08:04, 28 February 2023
  • developed called Rapid Exponentially Stabilizing Control Lyapunov Functions(RES-CLF). Control Lyapunov function are used to stabilize a nonlinear system to...
    13 KB (1,610 words) - 04:53, 16 April 2024
  • online closed-loop approximate optimal control, the value function is also a Lyapunov function that establishes global asymptotic stability of the closed-loop...
    10 KB (1,461 words) - 18:14, 31 July 2023
  • generalization of Lyapunov function to input/state/output systems. The construction of the storage function, as the analogue of a Lyapunov function is called...
    45 KB (6,461 words) - 20:40, 7 June 2024
  • mechanician and physicist Lyapunov equation, used in many branches of control theory, such as stability analysis and optimal control Lyapunov fractal, bifurcational...
    1 KB (203 words) - 00:57, 19 July 2021
  • geometry, a synonym for dimension function; in control theory and dynamical systems, a synonym for Lyapunov candidate function; in gauge theory, a synonym for...
    453 bytes (90 words) - 10:33, 14 November 2010
  • other continuous control designs. The following theorems form the foundation of variable structure control. Consider a Lyapunov function candidate where...
    52 KB (8,248 words) - 00:27, 29 December 2023
  • Thumbnail for Lyapunov exponent
    In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation...
    26 KB (3,187 words) - 03:52, 22 July 2024
  • assumed that a Lyapunov function V x {\displaystyle V_{x}} for this stable subsystem is known. Backstepping provides a way to extend the controlled stability...
    41 KB (9,111 words) - 15:11, 22 February 2024
  • performance and robustness. Single Quadratic Lyapunov Function (SQLF) Parameter Dependent Quadratic Lyapunov Function (PDQLF) to bound the achievable level of...
    9 KB (1,234 words) - 17:39, 18 June 2024
  • dynamics of proteins under the effect of optical tweezers. Lyapunov function — a function whose existence guarantees stability Mohammadi, A.; Spong, Mark...
    2 KB (246 words) - 21:06, 12 June 2024
  • the rate of growth of these moments is limited by the Lyapunov condition given below. Lyapunov CLT — Suppose { X 1 , … , X n , … } {\textstyle \{X_{1}...
    65 KB (8,887 words) - 17:29, 1 July 2024
  • In nonlinear control, the technique of Lyapunov redesign refers to the design where a stabilizing state feedback controller can be constructed with knowledge...
    1 KB (212 words) - 02:17, 24 January 2020
  • Krener's theorem Least squares Lyapunov stability Minor loop feedback Perceptual control theory State observer Vector control Labview Matlab Simulink Embedded...
    5 KB (382 words) - 12:07, 30 October 2023
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