On the passivity of linear delay systems

This note presents some sufficient conditions for a linear system with (point or distributed) delay in the state to be passive. Passivity based (memoryless) stabilization of linear delay systems is also addressed. The proposed approach is based on a Lyapunov-Krasovskii functional construction. Numer...

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Veröffentlicht in:	IEEE transactions on automatic control 2001-03, Vol.46 (3), p.460-464
Hauptverfasser:	Niculescu, S.-I., Lozano, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Automatic Automatic control Circuit stability Construction Control systems Delay Delay lines Delay systems Engineering Sciences Integrated circuit interconnections Linear systems Nonlinear control systems Nonlinear systems Passivity Riccati equations Stabilization Sufficient conditions
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Beschreibung
Zusammenfassung:	This note presents some sufficient conditions for a linear system with (point or distributed) delay in the state to be passive. Passivity based (memoryless) stabilization of linear delay systems is also addressed. The proposed approach is based on a Lyapunov-Krasovskii functional construction. Numerical examples are also included.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/9.911424