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Simultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation

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Computation and Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 1))

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Abstract

The problem of stabilization of a linear time-invariant plant by a linear time-invariant output feedback compensator has been one of the most important problems in system theory. However, since many of the systems considered in practice are time-varying, it is important to generalize results well known in time-invariant systems theory (see [4], [5], [6], [7]) to the time-varying case. It is for this reason we consider the following problem:

Problem 1.1: (Stabilizability Problem) Given a discrete-time multi-input multi-output linear time-varying dynamical system, does there exist a linear time-varying dynamic compensator which robustly stabilizes the system in the closed-loop?

Partially supported by NSF under Grant No. ECS 8617978

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© 1989 Birkhäuser Boston

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Bouthellier, P.R., Ghosh, B.K. (1989). Simultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation. In: Computation and Control. Progress in Systems and Control Theory, vol 1. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3704-4_1

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  • DOI: https://doi.org/10.1007/978-1-4612-3704-4_1

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3438-4

  • Online ISBN: 978-1-4612-3704-4

  • eBook Packages: Springer Book Archive

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