Detectability and Stabilizability of Discrete-Time Switched Linear Systems

被引：36

作者：

Lee, Ji-Woong ^{[1
]}

Khargonekar, Pramod P. ^{[2
]}

机构：

[1] Penn State Univ, Dept Elect Engn, University Pk, PA 16802 USA

[2] Univ Florida, Dept Elect & Comp Engn, Gainesville, FL 32611 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 03期

关键词：

Causality; directed graph; discrete linear inclusion (DLI); duality; linear matrix inequality (LMI); separation principle; FEEDBACK STABILIZATION; STABILITY ANALYSIS; LYAPUNOV FUNCTION; ADAPTIVE-CONTROL; SPECTRAL-RADIUS; EQUATION; MATRICES; LOGIC; SET;

D O I：

10.1109/TAC.2009.2012966

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For discrete-time switched linear systems under nondeterministic autonomous switching, the existence of causal finite-path-dependent stabilizing output injection and state feedback laws are characterized by increasing unions of linear matrix inequality conditions. These convex characterizations lead to the notions of causal finite-path-dependent detectability and stabilizability, which in turn yield a separation result for dynamic output feedback stabilization. By generalizing the standard duality concept to switched systems under arbitrary switching path constraints, we relate these notions to direct extensions of time-varying detectability and stabilizability requirements.

引用

页码：424 / 437

页数：14

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