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Necessary and sufficient conditions for the robustness of time-varying systems with applications to sampled-data systems

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1 Author(s)
Khammash, M.H. ; Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

Necessary and sufficient conditions for robustness of time-varying systems with structured norm-bounded uncertainty are provided. The L signal norm is used and the conditions are given in terms of the spectral radii of certain matrices obtained from the kernel representation of the time-varying system at hand. The derived conditions are then applied to continuous time linear time-invariant systems and for sampled-data systems

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 1 )