Finite-time stabilization of impulsive dynamical linear systems

被引：73
作者：
Amato, F. [2 ]
Ambrosino, R. [3 ]
Cosentino, C. [2 ]
De Tommasi, G. [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Informat & Sistemist, I-80125 Naples, Italy
[2] Magna Graecia Univ Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy
[3] Univ Napoli Parthenope, Ctr Direzionale Napoli, Dipartimento Tecnol, I-80143 Naples, Italy
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2011年 / 5卷 / 01期
关键词：
Finite-time stability; Hybrid systems; Impulsive dynamical linear systems; D/DLMIs; STABILITY;
D O I：
10.1016/j.nahs.2010.10.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite-time stabilization of a special class of hybrid systems, namely impulsive dynamical linear systems (IDLS), is tackled in this paper. IDLS exhibit jumps in the state trajectory which can be either time-driven (time-dependent IDLS) or subordinate to specific state values (state-dependent IDLS). Sufficient conditions for finite-time stabilization of IDLS are provided. Such results require solving feasibility problems which involve Differential-Difference Linear Matrix Inequalities (D/DLMIs), which can be numerically solved in an efficient way, as illustrated by the proposed examples. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：89 / 101
页数：13
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