Technical communique: Improved stability criteria and controller design for linear neutral systems

Authors:
Qing-Long Han
Affiliations:
Centre for Intelligent and Networked Systems and School of Computing Sciences, Central Queensland University, Rockhampton Qld 4702, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 1
Cited 4

On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach

Automatica (Journal of IFAC)

A new stability criterion for a partial element equivalent circuit model of neutral type

IEEE Transactions on Circuits and Systems II: Express Briefs
Brief paper: Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels

Automatica (Journal of IFAC)
Letter to the editor: Stability analysis on delayed neural networks based on an improved delay-partitioning approach

Journal of Computational and Applied Mathematics
Delay-dependent stability criteria for systems with interval time-varying delay

Journal of Control Science and Engineering

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Abstract

This paper is concerned with the problems of stability and H"~ control of linear neutral systems. Firstly, some new simple Lyapunov-Krasovskii functionals are constructed by uniformly dividing the discrete delay interval into multiple segments, and choosing proper functionals with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functionals. Then using these new simple Lyapunov-Krasovskii functionals, some new delay-dependent stability criteria are derived. These criteria include some existing results as their special cases and are much less conservative than some existing results, which is shown through a numerical example. Secondly, a delay-dependent bounded real lemma (BRL) is established. Employing the obtained BRL, some delay-dependent sufficient conditions for the existence of a delayed state feedback controller, which ensure asymptotic stability and a prescribed H"~ performance level of the corresponding closed-loop system, is formulated in terms of a linear matrix inequality (LMI). A numerical example is also given to illustrate the effectiveness of the design method.