Document Type

Article

Publication Date

8-2016

Publication Title

Automatica

Department

Mechanical & Industrial Engineering

Abstract

This paper studies strong delay-independent stability of linear time-invariant systems. It is known that delay-independent stability of time-delay systems is equivalent to some frequency-dependent linear matrix inequalities. To reduce or eliminate conservatism of stability criteria, the frequency domain is discretized into several sub-intervals, and piecewise constant Lyapunov matrices are employed to analyze the frequency-dependent stability condition. Applying the generalized Kalman–Yakubovich–Popov lemma, new necessary and sufficient criteria are then obtained for strong delay-independent stability of systems with a single delay. The effectiveness of the proposed method is illustrated by a numerical example.

Comments

This is the Preprint version of an article published by Elsevier in Automatica, available online at http://dx.doi.org/10.1016/j.automatica.2015.12.031. © 2016.