Optimum Radius of Robust Stability for Schur Polynomials |
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Authors: | N. E. Mastorakis |
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Affiliation: | (1) Military Institutions of University Education, Hellenic Naval Academy, Chair of Computer Science, Terma Hatzikyriakou, Piraeus, Greece |
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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. |
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Keywords: | Systems theory stability robust stability linear systems discrete-time systems robustness polynomial theory Kharitonov theorem inverse Kharitonov problem Rouche theorem |
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