Abstract

A sufficient condition given by P.H. Bauer and K. Premaratne (1990) for the robust stability of time-varying discrete interval systems is rederived using a diagonal Lyapunov function. This allows extension of the stability condition to a class of nonlinear time-varying systems. When the result is applied to the robust stabilization of time-varying discrete interval systems, it permits the relaxation of a nonnegativity constraint required by the time-invariant result reported by B. Shafai and C.V. Hollot (1991); greater flexibility in the choice of feedback gains is therefore allowed. A natural analog of D-stability called Hadamard stability is introduced and characterized. >

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