Sufficient conditions for the stability of interval matrices

YUGUANG FANG Department of Systems Engineering, Crawford Hall, Case Western Reserve University, Cleveland, OH, 44106-7070, U.S.A.

KENNETH A. LOPARO Department of Systems Engineering, Crawford Hall, Case Western Reserve University, Cleveland, OH, 44106-7070, U.S.A.

XIANGBO FENG Department of Systems Engineering, Crawford Hall, Case Western Reserve University, Cleveland, OH, 44106-7070, U.S.A.

Abstract

The stability of interval dynamical systems is studied. Sufficient conditions for the polytope of interval matrices are examined and some of the proofs are greatly simplified. More generally sufficient conditions are obtained and the approach taken in the new proofs has the potential for further generalizations of the result obtained in this paper.

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Sufficient conditions for the stability of interval matrices

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Sufficient conditions for the stability of interval matrices

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