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Titlebook: Robust Control of Linear Systems and Nonlinear Control; Proceedings of the I M. A. Kaashoek,J. H. Schuppen,A. C. M. Ran Conference proceedi

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Nonlinear ,, Control Theory: A Literature Survey.e. infinity norm) measure of performance while maintaining stability. For the linear, time-invariant, finitedimensional case, rather complete state space solutions are now available, and work has begun on understanding less restrictive settings. A recent new development has been the establishment o
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Optimal Frequency Domain Design vs. an Area of Several Complex Variablesral direction one can take in going beyond this. The goal is to develop a systematic mathematical theory of worst case frequency domain design where stability is the key constraint. This leads immediately to a collection of mathematics problems which have strong connections with ongoing developments
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A Monotonicity Result for the Periodic Riccati Equation, in particular on the strong solution. It is proven that the strong solution is greater than or equal to any solution of another periodic Riccati equation with coefficients which are suitably related to those of the original equation.
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LQ-Problem: The Discrete-Time Time-Varying Caseosition of the system, sufficient conditions are derived under which this LQ-problem is solvable and, moreover, the closed-loop system becomes exponentially stable..These conditions are extensions of the time-invariant notions of stabilizability and detectability. Unfortunately, in general these con
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Connective Stabilization of Large-Scale Systems: A Stable Factorization Approachtorization approach is taken to design local dynamic controllers for the subsystems. Conditions are presented under which we can stabilize a given large-scale system so that stability of the resultant closed-loop system is robust to bounded perturbations of the interconnections among subsystems.
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