Further results on "Infinity norms as Lyapunov functions for linear systems"

被引：11

作者：

Christophersen, Frank J. ^{[1
]}

Morari, Manfred ^{[1
]}

机构：

[1] ETH, Automat Control Lab, CH-8092 Zurich, Switzerland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 03期

关键词：

1-norm; infinity-norm; discrete-time system; linear system; Lyapunov function; Lyapunov stability; model predictive control (MPC) stability; vector norm;

D O I：

10.1109/TAC.2007.892378

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 note continues on the results proposed in two previous papers for computing vector 1- or infinity-norm based Lyapunov functions for linear discrete-time systems by presenting a finitely terminating algorithm for the construction of Lyapunov functions of that class. The algorithm utilizes the solution of a finite sequence of feasibility linear programs (LPs) with very few constraints or, equivalently, very simple algebraic tests in contrast to solving the original problem where a bilinear matrix equation with rank and norm constraint needs to be solved.

引用

页码：547 / 553

页数：7

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