Results 1 to 10 of about 92,845 (311)

An algorithm for constructing Lyapunov functions

Electronic Journal of Differential Equations, 2007
In this monograph we develop an algorithm for constructing Lyapunov functions for arbitrary switched dynamical systems $dot{mathbf{x}} = mathbf{f}_sigma(t,mathbf{x})$, possessing a uniformly asymptotically stable equilibrium.
Sigurdur Freyr Hafstein
doaj  

Stabilization of nonlinear safety-critical systems by relaxed converse Lyapunov-barrier approach and its applications in robotic systems

Autonomous Intelligent Systems
Combining safety objectives with stability objectives is crucial for safety-critical systems. Existing studies generally unified these two objectives by constructing Lyapunov-type barrier functions. However, insufficient analysis of key set relationships
Haoqi Li, Jiangping Hu, Xiaoming Hu, Bijoy K. Ghosh   +3 more
doaj   +1 more source

Common Weak Linear Copositive Lyapunov Functions for Positive Switched Linear Systems

Complexity, 2018
Lyapunov functions play a key role in the stability analysis of complex systems. In this paper, we study the existence of a class of common weak linear copositive Lyapunov functions (CWCLFs) for positive switched linear systems (PSLSs) which generalize ...
Yuangong Sun, Zhaorong Wu, Fanwei Meng
doaj   +1 more source

Existence of complete Lyapunov functions for semiflows on separable metric spaces [PDF]

, 2011
The aim of this short note is to show how to construct a complete Lyapunov function of a semiflow by using a complete Lyapunov function of its time-one map.
Patrão, Mauro
core  

Epidemiological Models and Lyapunov Functions [PDF]

Mathematical Modelling of Natural Phenomena, 2007
Summary: We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments ...
A. Fall, A., Iggidr, Abderrahman, Sallet, Gauthier, Tewa, Jean-Jules   +3 more
openaire   +3 more sources

Lyapunov functions for dichotomies in mean

Electronic Journal of Differential Equations, 2017
We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure.
Luis Barreira, Claudia Valls
doaj  

Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks

Nonlinear Analysis, 2022
This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks.
Jin You, Shurong Sun
doaj   +1 more source

Input-to-state stability of infinite-dimensional control systems

, 2012
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing, Andrii Mironchenko, B Jayawardhana, B Jayawardhana, BS Rüffer, D Henry, ED Sontag, ED Sontag, ED Sontag, F Mazenc, I Karafyllis, I Karafyllis, I Karafyllis, JC Willems, JP Hespanha, L Grüne, L Grüne, P Pepe, RF Curtain, S Dachkovski, S Dashkovskiy, S Dashkovskiy, Sergey Dashkovskiy, SN Dashkovskiy, Y Lin, ZP Jiang   +25 more
core   +1 more source

Computational Stability Analysis of Lotka-Volterra Systems

Hungarian Journal of Industry and Chemistry, 2016
This paper concerns the computational stability analysis of locally stable Lotka-Volterra (LV) systems by searching for appropriate Lyapunov functions in a general quadratic form composed of higher order monomial terms.
Polcz Péter, Szederkényi
doaj   +1 more source

Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems [PDF]

, 2022
Morgan Jones, Matthew M. Peet
openalex   +1 more source