Abstract

This paper is concerned with the stability problem of uncertain linear neutral systems using a discretized Lyapunov functional approach. The uncertainty under consideration is linear fractional norm-bounded uncertainty which includes the routine norm-bounded uncertainty as a special case. A delay-dependent stability criterion is derived and is formulated in the form of linear matrix inequalities (LMIs). The criterion can be used to check the stability of linear neutral systems with both small and non-small delays. For nominal systems, the analytical results can be approached with fine discretization. For uncertainty systems with small delay, numerical examples show significant improvement over approaches in the literature. For uncertainty systems with non-small delay, the effect of the uncertainty on the maximum time-delay interval for asymptotic stability is also studied.

Highlights

  • DURING the past few years, delay-dependent stability of linear neutral systems has attracted considerable attention, see for example, [1, 4,5,6,7, 9,10] and references therein

  • This paper is concerned with the stability problem of uncertain linear neutral systems using a discretized Lyapunov functional approach

  • The criterion can be used to check the stability of linear neutral systems with both small and non-small delays

Read more

Summary

Introduction

DURING the past few years, delay-dependent stability of linear neutral systems has attracted considerable attention, see for example, [1, 4,5,6,7, 9,10] and references therein. The goal is to obtain the maximum allowed upper bound on the delay that guarantees the stability of a linear neutral system. One kind of system is that the discrete delay lies in a given interval [0, rmax ] , where the delay is called a small delay. The other kind of system is one which is stable with some nonzero discrete delay, but is unstable without the delay, see Example 2 in this paper; in this case the discrete delay lies in an interval [rmin , rmax ] , where rmin ! The other kind of system is one which is stable with some nonzero discrete delay, but is unstable without the delay, see Example 2 in this paper; in this case the discrete delay lies in an interval [rmin , rmax ] , where rmin ! 0 , and it is called a non-small delay

Methods
Results
Conclusion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.