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Convex M-matrices and polytopic dynamic systems

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2 Author(s)
D. M. Stipanovic ; Dept. of Electr. Eng., Santa Clara Univ., CA, USA ; D. D. Siljak

The purpose of this paper is to derive a number of sufficient conditions for all matrices in a convex polytope to be M-matrices. The conditions involve only vertex matrices of the polytope and can be used to establish robust stability of systems with polytopic uncertainty structures. Applications of the convexity conditions will be made to uncertain linear constant systems and Lotka-Volterra population models. An interesting feature of the analysis is the use of Lyapunov functions which depend on systems parameters

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:5 )

Date of Conference:

10-12 Dec 1997