Detectability and Stabilizability of Discrete-Time Switched Linear Systems

被引：37
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
收藏
页码：424 / 437
页数：14
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