Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays

This note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying ver...

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Veröffentlicht in:	IEEE transactions on automatic control 2010-04, Vol.55 (4), p.1024-1028
Hauptverfasser:	Liu, Xingwen, Yu, Wensheng, Wang, Long
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Asymptotic properties Asymptotic stability Automatic control Automation Computer science control theory systems Control system analysis Control theory. Systems Criteria Delay Delay systems Educational programs Exact sciences and technology Laboratories linear copositive Lyapunov functional Lyapunov method Mathematical analysis Matrices positive system Stability Stability analysis Stability criteria System theory Time varying systems time-varying delays
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Zusammenfassung:	This note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2010.2041982