Constructing Lyapunov-Krasovskii functionals for linear time delay systems

被引：18

作者：

Papachristodoulou, A ^{[1
]}

Peet, M ^{[1
]}

Lall, S ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

来源：

ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7 | 2005年

关键词：

D O I：

10.1109/ACC.2005.1470401

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional Linear Matrix Inequalities (LMIs). The resulting functionals retain the structure of the complete L-K functional and yield conditions that approach the true delay-dependent stability bounds. The method can also be used to construct parameter-dependent L-K functionals for certifying stability under parametric uncertainty.

引用

页码：2845 / 2850

页数：6

共 16 条

[1]

[Anonymous], 2003, MATH INTERNET CONGES

[2] Lyapunov equation for the stability of linear delay systems of retarded and neutral type [J].