On finite-time stability of state dependent impulsive dynamical systems

被引：7

作者：

Ambrosino, R. ^{[1
]}

Calabrese, F. ^{[2
]}

Cosentino, C. ^{[3
]}

De Tommasi, G. ^{[2
]}

机构：

[1] Univ Napoli Parthenope, Dipartimento Tecnol, Via Medina 40, I-80133 Naples, Italy

[2] Univ Naples Federico II, Dipartimento Informat & Sistemist, I-80125 Naples, Italy

[3] Univ Magna Gracia Catanzaro, Sch Comp Sci & Biomed Engn, I-88100 Catanzaro, Italy

来源：

2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2008年

关键词：

D O I：

10.1109/ACC.2008.4586935

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 extends the finite-time stability problem to state dependent impulsive dynamical systems. For this class of hybrid systems, the state jumps when the trajectory reaches a resetting set, which is a subset of the state space. A sufficient condition for finite-time stability of state dependent impulsive dynamical systems is provided. Moreover, S - procedure arguments are exploited to obtain a formulation of this sufficient condition which is numerically tractable by means of Differential Linear Matrix Inequalities (DLMIs). Such a formulation may be in general more conservative, for this reason a procedure which allows to automate its verification, without introduce conservatism, is given both for second order systems, and when the resetting set is ellispoidal.

引用

页码：2897 / +

页数：2

共 16 条

[1] Finite-time output feedback control of linear systems via differential linear matrix conditions [J].

Amato, F. ;

Ariola, M. ;

Carbone, M. ;

Cosentino, C. .

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, :5371-+

[2] Finite-time stabilization via dynamic output feedback [J].

Amato, F ;

Ariola, M ;

Cosentino, C .

AUTOMATICA, 2006, 42 (02) :337-342

[3] Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].

Amato, F ;

Ariola, M ;

Dorato, P .

AUTOMATICA, 2001, 37 (09) :1459-1463

[4]

[Anonymous], THESIS CHALMERS U TE

[5]

BOYD S, 1994, LINEAR MATRIX INEQUI

[6]

Dorato P, 1961, P IRE INT CONV REC 4, V4, P83

[7]

Haddad WM., 2006, IMPULSIVE HYBRID DYN

[8]

JAKUBOVIC VA, 1971, VESTNIK LENINGRAD U, V4, P73

[9] Computation of piecewise quadratic Lyapunov functions for hybrid systems [J].

Johansson, M ;

Rantzer, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :555-559

[10]

Liberzon D., 2003, SYS CON FDN

← 1 2 →