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IMA Journal of Mathematical Control and Information 1997 14(2):137-151; doi:10.1093/imamci/14.2.137
© 1997 by Institute of Mathematics and its Applications
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Robust stabilization of time—varying infinite dimensional systems

V. DRAGAN

Institute of Mathematics of the Romanian Academy P.O.Box 1–764, Bucharest, RO–70700, Romania

This paper solves the problem of robust stabilization of a class of time-varying infinite dimensional systems with respect to perturbations in a normalized left-coprime factorization. The class of time-varying infinite dimensional systems is that described by a causal evolution operator on a Hilbert space. Our approach is based on the general Yakubovich—Popov type theory, instead of the Nehari problem, both for estimating of the robustness radius and for the construction of a suboptimal robust stabilizing controller.


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