In this paper for linear discrete time switched systems, the problem of existence of a common solution to Stein inequalities is considered. A sufficient condition for robust Schur stability of a matrix polyope by using Schur complement lemma and a necessary and sufficient condition for the existence of a common solution of Stein equation are given. As in the case of continuous time systems, the problem of existence of a common solution is reduced to a convex optimization one. An efficient solution algorithm which requires solving a linear minimax problem at each step is suggested. The algorithm is supported with a number of examples from the literature and observed that the method desired results fastly.
Discrete-time system Schur stability Stein equation common quadratic Lyapunov function Schur complement
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Erken Görünüm Tarihi | 5 Ekim 2023 |
Yayımlanma Tarihi | 18 Ekim 2023 |
Gönderilme Tarihi | 5 Mart 2023 |
Kabul Tarihi | 25 Temmuz 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 27 Sayı: 5 |
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