Results 241 to 250 of about 5,207,637 (277)

A Lyapunov function proof of Poincare's theorem

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002
One of the most fundamental results in analysing the stability properties of periodic orbits and limit cycles of dynamical systems is Poincare's theorem. The proof of this result involves system analytic arguments along with the Hartman-Grobman theorem.
Wassim M. Haddad 0001, Sergey G. Nersesov, VijaySekhar Chellaboina   +2 more
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Higher Derivatives of Lyapunov Functions

Differential Equations, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lyapunov-Based Stability and Construction of Lyapunov Functions for Boolean Networks

SIAM Journal on Control and Optimization, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haitao Li 0001, Yuzhen Wang
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Semidefinite lyapunov functions stability and stabilization

Mathematics of Control, Signals, and Systems, 1996
The paper gives some weakening of the basic Lyapunov theorems by obtaining stability and asymptotic stability for nonnegatively definite Lyapunov functions. These results allow simpler proofs for some previously known results and some extension of the stabilization results for systems that are affine in the control.
Iggidr, Abderrahman, Kalitine, Boris, Outbib, Rachid   +2 more
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Applications of a family of lyapunov functions

Journal of Applied Mathematics and Mechanics, 2000
The author considers the perturbed motion equations in the form \[ \begin{aligned} &A_1(x_1,\dot x_1,x_2,t)\ddot x_1 = B_1(x_1,\dot x_1,x_2,t);\\ &N_1(x_1,\dot x_1,x_2,t)\ddot x_2 = K_1(x_1,\dot x_1,x_2,t), \end{aligned}\tag{1} \] where \(A_1\) and \(N_1\) are \((n\times n)\)- and \((m\times m)\)-matrices, \(x_1\) and \(B_1\) are \(n\)-dimensional ...
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The problem of constructing a lyapunov function

Journal of Applied Mathematics and Mechanics, 1985
An algorithm which, for a wide class of problems, enables a Lyapunov function with a negative-sign derivative to be reconstructed as a Lyapunov function with a negative-definite derivative, is proposed. This algorithm supplements the well-known method of reconstructing a Lyapunov function. Examples are considered.
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A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T–S Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2022
Zhanshan Wang, Xiaofei Fan
exaly  

What is the most suitable Lyapunov function?

Chaos, Solitons and Fractals, 2021
Jun Ma, Zhigang Zhu, Xikui Hu
exaly  

A novel ε-dependent Lyapunov function and its application to singularly perturbed systems

Automatica, 2021
Wei Xing Zheng, Shengyuan Xu
exaly  

H∞ control for continuous-time Takagi–Sugeno fuzzy model by applying generalized Lyapunov function and introducing outer variables

Automatica, 2021
Hak-Keung Lam, Likui Wang
exaly