Results 191 to 200 of about 21,898 (243)

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
exaly   +2 more sources

Lyapunov and converse Lyapunov theorems for semistability

2007 46th IEEE Conference on Decision and Control, 2007
This paper develops Lyapunov and converse Lyapunov theorems for semistable nonlinear dynamical systems. Semistability is the property whereby the solutions of a dynamical system converge to (not necessarily isolated) Lyapunov stable equilibrium points determined by the system initial conditions.
Qing Hui   +2 more
openaire   +2 more sources

Lyapunov and converse Lyapunov theorems for stochastic semistability

Systems & Control Letters, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tanmay Rajpurohit, Wassim M. Haddad 0001
openaire   +1 more source

Weak Converse Lyapunov Theorems and Control-Lyapunov Functions

SIAM Journal on Control and Optimization, 2004
Summary: Given a weakly uniformly globally asymptotically stable closed (not necessarily compact) set \({\mathcal A}\) for a differential inclusion that is defined on \(\mathbb{R}^n\), is locally Lipschitz on \(\mathbb{R}^n \backslash{\mathcal A}\), and satisfies other basic conditions, we construct a weak Lyapunov function that is locally Lipschitz on
Christopher M. Kellett, Andrew R. Teel
openaire   +1 more source

Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999
It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps.
Fan, Aihua, Jiang, Yunping
openaire   +2 more sources

Lyapunov and Lyapunov-like functions

2007
Lyapunov functions are crucial in the present book aims, given the strict relation between Lyapunov functions and invariant sets. In this chapter, basic notions of Lyapunov and Lyapunov-like functions will be presented. Before introducing the main concept, a brief presentation of the class of dynamic models will be considered and some preliminary ...
Franco Blanchini, Stefano Miani
openaire   +1 more source

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