TY - GEN

T1 - Stability analysis of positive linear switched systems

AU - Margaliot, Michael

AU - Branicky, Michael S.

PY - 2009

Y1 - 2009

N2 - We consider the stability analysis of switched systems under arbitrary switching laws. A powerful approach for addressing this problem is based on studying the "most unstable" switching law (MUSL). If the switched system is stable for the MUSL, it is stable for any switching law. The MUSL can be defined as the solution to a certain optimal control problem. The main analysis tool is then the celebrated maximum principle (MP). This provides an implicit characterization of the MUSL in terms of the adjoint and switching function defined in the MP. In this paper, we consider the optimal control problem defining the MUSL for the particular case of positive linear switched systems. We show that in this case the MP can be strengthened. Specifically, there exist regions in the state-space for which the MUSL is known explicitly.

AB - We consider the stability analysis of switched systems under arbitrary switching laws. A powerful approach for addressing this problem is based on studying the "most unstable" switching law (MUSL). If the switched system is stable for the MUSL, it is stable for any switching law. The MUSL can be defined as the solution to a certain optimal control problem. The main analysis tool is then the celebrated maximum principle (MP). This provides an implicit characterization of the MUSL in terms of the adjoint and switching function defined in the MP. In this paper, we consider the optimal control problem defining the MUSL for the particular case of positive linear switched systems. We show that in this case the MP can be strengthened. Specifically, there exist regions in the state-space for which the MUSL is known explicitly.

UR - http://www.scopus.com/inward/record.url?scp=80051521561&partnerID=8YFLogxK

U2 - 10.3182/20090616-3-IL-2002.0061

DO - 10.3182/20090616-3-IL-2002.0061

M3 - פרסום בספר כנס

AN - SCOPUS:80051521561

SN - 9783902661456

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 31

EP - 35

BT - ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings

Y2 - 16 June 2009 through 18 June 2009

ER -