On the rate of convergence of continuous-time linear positive systems with heterogeneous time-varying delays

Hamid Reza Feyzmahdavian, Themistoklis Charalambous, Mikael Johansson

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

5 Citations (Scopus)

Abstract

In this work, a set of conditions are presented for establishing exponential stability and bounds on the convergence rates of both general and positive linear systems with heterogeneous time-varying delays. First, a sufficient condition for delay-independent exponential stability of general linear systems is derived. When the time delays have a known upper bound, we present an explicit expression that bounds the decay rate of the system. We demonstrate that the best decay rate that our bound can guarantee can be easily found via convex optimization techniques. Finally, for positive linear systems, we show that the stability condition that we have developed is also necessary. The validity of the results is demonstrated via numerical examples.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Pages3372-3377
Number of pages6
Publication statusPublished - 2013
MoE publication typeA4 Article in a conference publication
EventEuropean Control Conference - ETH Zurich, Zurich, Switzerland
Duration: 17 Jul 201319 Jul 2013

Conference

ConferenceEuropean Control Conference
Abbreviated titleECC
CountrySwitzerland
CityZurich
Period17/07/201319/07/2013

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