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		Yogesh V. HOTE,J. R. P. GUPTA,D. Roy CHOUDHURY.[en_title][J].Control Theory and Technology,2011,9(4):567~570.[Copy]

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YogeshV.HOTE,J.R.P.GUPTA,D.RoyCHOUDHURY
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(Department of Electrical Engineering, Indian Institute of Technology (IIT);Department of Instrumentation and Control Engineering, Delhi University;Department of Information Technology (I.T.), M.A.I.T.)

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Received:July 09, 2009Revised:June 04, 2010

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A simple approach for stability margin of discrete systems

Yogesh V. HOTE,J. R. P. GUPTA,D. Roy CHOUDHURY

(Department of Electrical Engineering, Indian Institute of Technology (IIT);Department of Instrumentation and Control Engineering, Delhi University;Department of Information Technology (I.T.), M.A.I.T.)

Abstract:

In this paper, a technique is presented to determine the stability margin of the discrete systems using recursive algorithm for power of companion matrix and Gerschgorin Theorem and hence sufficient condition of stability is obtained. The method is illustrated with an example and it is compared with other methods proposed in the literature. The results have applications in the filter design.

Key words: Gerschgorin theorem Power of companion matrix Discrete systems Stability margin