LMI Conditions for the Stability of Linear Uncertain Polynomially Time-Varying Systems

被引：5

作者：

Jetto, Leopoldo ^{[1
]}

Orsini, Valentina ^{[1
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Informat Gest & Automaz, Ancona, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 07期

关键词：

Linear matrix inequalities (LMIs); robust stability analysis; time-varying systems; ROBUST STABILITY; LYAPUNOV FUNCTIONS; POLYTOPIC SYSTEMS; PARAMETERS;

D O I：

10.1109/TAC.2009.2020645

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note investigates the robust stability of uncertain linear time-varying systems with a mode-switch dynamics. Each mode is characterized by a dynamical matrix containing elements whose time behavior over bounded time intervals is described by interval polynomials of arbitrary degree. Using a quadratic Lyapunov function polynomially depending on time, stability conditions for each mode are stated in terms of linear matrix inequalities (LMIs). The stability conditions of the switching system are stated both in terms of minimum and average dwell time. A salient feature of the technical note is that the single-mode stability conditions given here allow the parameters and their derivatives to take values over arbitrarily large uncertainty sets.

引用

页码：1705 / 1709

页数：5

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