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Titlebook: Realization and Modelling in System Theory; Proceedings of the I M. A. Kaashoek,J. H. Schuppen,A. C. M. Ran Conference proceedings 1990 Bir

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Another Look at the Brayton-Moser Network EquationsLuenberger, J. C. Willems, and others. Recently, the author proposed an algorithm which is able to deal with all kinds of singularities. Of course, the problem of writing state equations is a classical one. Brayton and Moser presented a solution of this problem for LCR networks in 1964. Their method
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Input/Output Equations and Realizabilityputs and outputs of a continuous time system. The only assumption needed is that the data be “well-posed” in a suitable sense. Our results serve to relate the notion of realizability proposed by Fliess in the context of differential algebra with the more standard concept used in nonlinear state-spac
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Balancing General Quadratic Measures on External Signalsasymptotically stable system. By analyzing more general quadratic measures on the external behaviour of a dynamical system, we may obtain state space representations in which other quantities are internally balanced. For the class of ..-trajectories of finite dimensional linear time invariant system
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A Note on the Geometry of Partial Realization,τ) of all finite sequences of fixed length τ which have a minimal realization of dimension n ≤ τ. Moreover, we present continuity results for different canonical realization maps on the sequence spaces S(n,τ).
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Matching Via Measurement Feedbackthis paper consists in finding a measurement feedback such that the input-output behavior of the compensated plant matches that of the model, independently of the disturbances. A geometric condition is proposed in terms of controlled and conditionally invariant distributions.
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Noncausal Estimation for Discrete Gauss-Markov Random Fieldsat the smoother has a nearest-neighbor structure of the same type as the original field, and that the smoothing error is itself a Gauss-Markov random field. Since the operator describing the smoother dynamics is positive and self-adjoint, the smoother can be implemented by using efficient iterative algorithms for elliptic PDEs.
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