Further Improvements on Stability Analysis for Uncertain Time-delayed Linear Systems
Fúlvia S. S. de Oliveira1; Matheus V. de Lima1; Fernando de O. Souza1
1 Universidade Federal de Minas Gerais
Baixar PDF doi:10.20906/CPS/CBA2018-0533
Resumo
This paper is concerned with stability analysis of uncertain systems with time-varying delay. It is presented an improved stability criterion derived within the framework of linear matrix inequalities (LMIs). The main idea consists in appropriately splitting into two parts a single integral term of a quadratic Lyapunov- Krasovskii functional recently proposed in the literature. Then we show that such division leads to conservatism reduction of the stability analysis criterion in the case when the delay is time-varying and/or the system is subject to uncertain parameters. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
Palavras-chave: Time-varying delay; Uncertain system; Reciprocally convex lemma; Bessel-Legendre inequality; Lyapunov-Krasovskii functional