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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.
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Tom
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59--65
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Bibliograf. 6 poz.
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- Intelligent Robotics and Automation Laboratory, Department of Electrical and Control Engineering, National Technical University of Athens, Zogrophou Campus, Zographou 15773, Athens, Greece.
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Bibliografia
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bwmeta1.element.baztech-article-BPW1-0001-0087