If system is nsdf then there may be issues related to system whether it is stable or asymptotically stable. There are two methods to construct the Lyapunov ...

Whereas there is no general technique for constructing Lyapunov functions for ODEs, in many specific cases the construction of Lyapunov functions is known. Definition · Basic Lyapunov theorems for... · Example

This paper presents a method for constructing Lya- punov functions for locally asymptotically stable critical nonlinear systems that is both simple and ...

The constructed Lyapunov functions involve an integral of the system parameter with a weighting function over a finite interval. Explicit conditions are imposed ...

24 июл. 2023 г. · This article presents a novel numerically tractable technique for synthesizing Lyapunov functions for equilibria of nonlinear vector fields.

This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into ...

18 дек. 2013 г. · We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is ...

Abstract. In this paper we survey the construction of Lyapunov functions. (or functionals) for various ecological models which take the form of ODE.

In this paper, we present a construction of Lyapunov functions for second-order linear stochastic systems with constant coefficients.

The Lyapunov functions may then be used to estimate the critical reclosing time for power-system transient stability. The critical reclosing times given by ...