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The graph topology for linear plants with applications to nonlinear robust stabilization

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3 Author(s)
Pascoal, A.M. ; Dept. of Electr. Eng., Inst. Superior Tecnico, Lisbon, Portugal ; Ravi, R. ; Khargonekar, P.P.

The graph topology is defined for the set of finite-dimensional linear time-varying plants that are internally stabilizable by output feedback. This follows some earlier results of M. Vidyasagar et al. (1982) on time-invariant systems. Feedback connections of linear time-varying plants and general nonlinear time-varying controllers are considered, and it is shown that the graph topology is the weakest topology in which feedback stabilization is a robust property. Using this result, necessary and sufficient conditions for robust stabilizability of families of linear time-varying plants with parametric uncertainty are derived

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Automatic Control, IEEE Transactions on  (Volume:38 ,  Issue: 2 )