Stability of Impulsive Systems driven by Renewal Processes

被引：9

作者：

Antunes, Duarte ^{[1
]}

Hespanha, Joao P. ^{[2
]}

Silvestre, Carlos ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Inst Super Tecn, Dep Elect Eng & Comp Sci, ISR, P-1046001 Lisbon, Portugal

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/ACC.2009.5160457

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Necessary and sufficient conditions are provided for stochastic stability and mean exponential stability of impulsive systems with jumps triggered by a renewal process, that is, the intervals between jumps are independent and identically distributed. The conditions for stochastic stability can be efficiently tested in terms of the feasibility of a set of LMIs or in terms of an algebraic test. The relation between the different stability notions for this class of systems is also discussed. The results are illustrated through their application to the stability analysis of networked control systems. We present two benchmark examples for which one can guarantee stability for inter-sampling times roughly twice as large as in a previous paper.

引用

页码：4032 / +

页数：2

共 11 条

[1]

[Anonymous], 2006, 17 INT S MATH THEOR

[2]

BHARUCHA BH, 1961, THESIS U CALIFORNIA

[3]

Boukas E.-K., 2006, CONTROL ENGN SER BIR

[4]

Davis MHA., 1993, Markov models and optimization, Monographs on Statistics and Applied Probability

[5]

Horn R.A., 1994, TOPICS MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371

[6] MEAN-SQUARE STABILITY CONDITIONS FOR DISCRETE STOCHASTIC BILINEAR-SYSTEMS [J].

KUBRUSLY, CS ;

COSTA, OLV .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (11) :1082-1087

[7]

Kushner H. J., 1967, Stochastic stability and control

[8] ON STABILITY OF RANDOMLY SAMPLED SYSTEMS [J].

KUSHNER, HJ ;

TOBIAS, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (04) :319-&

[9] Stability of model-based networked control systems with time-varying transmission times [J].

Montestruque, LA ;

Antsaklis, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1562-1572

[10]

Resnick S., 1992, ADVENTURES STOCHASTI

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