Optimum Radius of Robust Stability for Schur Polynomials

N. E. Mastorakis
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N. E. Mastorakis: Hellenic Naval Academy, Chair of Computer Science, Terma Hatzikyriakou

Journal of Optimization Theory and Applications, 2000, vol. 104, issue 1, No 10, 165-174

Abstract: Abstract The paper investigates the problem of the robust stability of Schur polynomials. Recently, a new approach based on the Rouche theorem of classical complex analysis has been adopted for the solution of this problem. In this paper, an improvement of the previous solution is presented. This is the optimum solution of the robust stability problem for Schur polynomials, which is obtained by solving a minimization problem and is better than other methods in robust stability literature. Three numerical examples are given to illustrate the proposed method.

Keywords: Systems theory; stability; robust stability; linear systems; discrete-time systems; robustness; polynomial theory; Kharitonov theorem; inverse Kharitonov problem; Rouche theorem (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004684907724

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