Nice-reachability results for discrete-time linear switched systems with applications to stability under arbitrary switching laws

Tal Monovich Wahrmann, Michael Margaliot

פרסום מחקרי: פרסום בכתב עתמאמר מכנסביקורת עמיתים

תקציר

A powerful approach for analyzing the stability under arbitrary switching of continuous-time switched systems is based on analyzing stability for the 'most unstable' switching law. This approach has been successfully applied to derive nice-reachability-type results for both linear and nonlinear continuous-time switched systems. We develop an analogous approach for discrete-time linear switched systems. We first prove a necessary condition for the 'most unstable' switching law in the form of a discrete-time maximum principle (MP). This MP is in fact weaker than its continuous-time counterpart. To overcome this, we introduce the auxiliary system of a discrete-time linear switched system, and show that regularity properties of time-optimal controls (TOCs) for the auxiliary system imply nice-reachability results for the original discrete-time linear switched system. We derive several new Liealgebraic conditions guaranteeing nice-reachability results. These results, and their proofs, turn out to be quite different from their continuous-time counterparts.

שפה מקוריתאנגלית
מספר המאמר6426723
עמודים (מ-עד)693-698
מספר עמודים6
כתב עתProceedings of the IEEE Conference on Decision and Control
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 2012
אירוע51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, ארצות הברית
משך הזמן: 10 דצמ׳ 201213 דצמ׳ 2012

ASJC Scopus subject areas

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  • ???subjectarea.asjc.2600.2611???
  • ???subjectarea.asjc.2600.2606???

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