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Output-feedback $\Cal H_\infty$ control of systems over communication networks using a deterministic switching system approach. (English) Zbl 1056.93527
Summary: This paper proposes a new control problem of systems over asymmetric path-delay configurations on arbitrary communication networks, where the criterion is the $\Cal H_\infty$ norm minimization via dynamic output-feedback controllers. Network-delay-dependent switching controllers are designed via a piecewise Lyapunov function approach as well as a common Lyapunov function approach. The controllers are found through convex optimization over linear matrix inequalities.

MSC:
93B36$H^\infty$-control
90B18Communication networks (optimization)
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References:
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