A way to stabilize linear systems with delayed state

A simple method is proposed for stabilizing linear systems with delayed state, using linear feedback. The method requires checking the negativity of a matrix containing two free parameters, and solving a matrix Lyapunov equation with these parameters. A known stabilizability criterion and a simple s...

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Veröffentlicht in:	Automatica (Oxford) 1983-01, Vol.19 (5), p.571-573
Hauptverfasser:	Mori, T., Noldus, E., Kuwahara, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computer science control theory systems Control system synthesis Control theory. Systems Delayed state Exact sciences and technology linear feedback Lyapunov functional matrix Lyapunov equation stabilization
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Beschreibung
Zusammenfassung:	A simple method is proposed for stabilizing linear systems with delayed state, using linear feedback. The method requires checking the negativity of a matrix containing two free parameters, and solving a matrix Lyapunov equation with these parameters. A known stabilizability criterion and a simple stability theorem for the open-loop system are obtained as special cases of the main result.
ISSN:	0005-1098 1873-2836
DOI:	10.1016/0005-1098(83)90013-4