Elsevier

Automatica

Volume 15, Issue 2, March 1979, Pages 197-207
Automatica

Paper
Control of linear systems with multiparameter singular perturbations

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Abstract

The singular perturbation theory is extended to systems with several small parameters which can change the system order. Difficulties arising in testing the boundary layer stability in multiparameter linear problems are discussed. The theory is applied to linear quadratic optimal control and Nash game problems.

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The original version of this paper was presented at the IFAC-IRIA workshop on Singular Perturbations in Control which was held in Paris, France during June 1978. For information about the published Proceedings of this IFAC Meeting contact Pergamon Press Limited, Headington Hill Hall, Oxford, OX3 0BW, England. This paper was recommended for publication in revised form by associated editor G. Guardabassi.

H. K. Khalil was with the Decision and Control Laboratory, University of Illinois. He is now with the Department of Electrical Engineering and Systems Science, Michigan State University, East Lansing, MI 48824.

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