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Titlebook: Linear Algebra for Control Theory; Paul Dooren,Bostwick Wyman Conference proceedings 1994 Springer-Verlag New York, Inc. 1994 Control Theo

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Diffeomorphisms between Sets of Linear Systems,d McMillan degree, the subset of stable systems, the subset of bounded real systems, the subset of positive real systems, the subset of stable systems with Hankel singular values bounded by one. State space techniques are used in the proofs.
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978-1-4613-8421-2Springer-Verlag New York, Inc. 1994
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https://doi.org/10.1007/978-1-4613-8419-9Control Theory; Eigenvalue; Interpolation; Matrix; Matrix Theory; algebra; linear algebra
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Transfer Function Approach to Disturbance Decoupling Problem,We give a necessary and sufficient condition for existence of a controller which decouples the disturbance signal. The condition is based on state space computations. If it is satisfied, we parametrize the set of all disturbance decoupling controllers.
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Problems and Results in a Geometric Approach to the Theory of Systems over Rings,ents in a field, it appears capable of providing efficient solutions to a number of control and observation problems. In this paper we survey some recent results concerning a class of Disturbance Decoupling Problems and we extend the techniques developed in that case to a class of problems concerning the Estimation of Linear Functions of the State.
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