On the Computation of Lyapunov Functions for Interconnected Systems

被引：0

作者：

Sloth, Christoffer ^{[1
]}

机构：

[1] Aalborg Univ, Sect Automat & Control, DK-9220 Aalborg, Denmark

来源：

2016 IEEE CONFERENCE ON COMPUTER AIDED CONTROL SYSTEM DESIGN (CACSD) | 2016年

关键词：

POLYNOMIAL OPTIMIZATION; SDP-RELAXATIONS; SQUARES; DECOMPOSITION; SUM;

D O I：

暂无

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 paper addresses the computation of additively separable Lyapunov functions for interconnected systems. The presented results can be applied to reduce the complexity of the computations associated with stability analysis of large scale systems. We provide a necessary and sufficient condition for the existence of an additively separable Lyapunov function; subsequently, sparsity conditions are given for finding additively separable polynomial Lyapunov functions for both local and global stability of polynomial systems.

引用

页码：850 / 855

页数：6

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