Results 211 to 220 of about 8,963 (248)

Constructions of Strict Lyapunov Functions

2009
The construction of strict Lyapunov functions is a challenging problem that is of significant ongoing research interest. Although converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, the Lyapunov functions that converse theory provides are often abstract and nonexplicit, and therefore may not lend ...
Malisoff, Michael, Mazenc, Frédéric
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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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Higher Derivatives of Lyapunov Functions

Differential Equations, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Stability analysis of sampled-data systems via novel Lyapunov functional method

Information Sciences, 2022
Zhaoliang Sheng, Chong Lin, Ｂing Ｃｈｅｎ   +2 more
exaly  

New results on stability and H∞ performance analysis for aperiodic sampled-data systems via augmented Lyapunov functional

ISA Transactions, 2022
Yong He, Guo-Ping Liu
exaly  

Stability analysis of delayed neural networks based on a relaxed delay-product-type Lyapunov functional

Neurocomputing, 2021
Yun Chen
exaly