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$$H^ \infty$$ control of linear time-varying systems: A state-space approach. (English) Zbl 0741.93017
For finite-dimensional linear time-varying continuous-time plants necessary and sufficient conditions for the existence of solutions of the standard problem of $$H^ \infty$$ control are given under the assumption that the plant is stabilizable from the exogenous inputs and detectable from the controlled outputs. The given conditions are generalizations of existing results by relaxing assumptions to stabilizability and detectability.

##### MSC:
 93B36 $$H^\infty$$-control 93B50 Synthesis problems 93C35 Multivariable systems, multidimensional control systems 93C05 Linear systems in control theory 49J35 Existence of solutions for minimax problems
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