Positive Forms and Stability of Linear Time-Delay Systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Lyapunov function which is quadratic on the space of continuous functions. We give an explicit parametrization of a sequence of finite-dimensional subsets of the cone of positive Lyapunov functions using positive semidefinite matrices. This allows stability analysis of linear time-delay systems to be formulated as a semidefinite program.
journal version, 14 pages

Keywords

Dynamical Systems, Optimization and Control

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/132804

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.0230
 http://arxiv.org/abs/0707.0230

Collections

arXiv