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On the robust stability of linear systems with parametric uncertainty.

Tzafestas S. G., Tzamtzi M. P.

Systems Science

1998

Vol. 24, nr 3

59-65

This paper is concerned with the robust stability of linear systems in state space form for the case where the system matrix A(p) depends on a vector p.member.P .contained in. IRv of uncertainty, with P being a hyperrectangle. A new parameterization of the uncertainty is proposed which leads to sufficient conditions for the robust stability of the system x`(t)=A(p)x(t), x(t0)=x0 needing a finite number of tests. The number of tests required decreases considerably with respect to a previously proposed sufficient condition, and so the chances of satisfying the sufficient condition generally increase. This is illustrated by two nontrivial examples.