Input-to-state stability of discrete-time, linear time-varying systems☆

被引：0

作者：

Sanjeevini, Sneha ^{[1
]}

Lai, Brian ^{[1
]}

Kouba, Omran ^{[2
]}

Wang, Yuan ^{[3
]}

Bernstein, Dennis S. ^{[1
]}

机构：

[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA

[2] Higher Inst Appl Sci & Technol, Dept Math, Damascus, Syria

[3] Florida Atlantic Univ, Dept Math & Stat, Boca Raton, FL USA

来源：

AUTOMATICA | 2025年 / 177卷

关键词：

Input-to-state stability; Asymptotic stability; Linear time-varying systems; Discrete-time systems; STABILIZATION;

D O I：

10.1016/j.automatica.2025.112331

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 develops equivalent characterizations for input-to-state stability of discrete-time linear, time-varying (DTLTV) systems. Unlike prior results on input-to-state stability for discrete-time nonlinear time-varying systems, the characterizations provided in the present paper do not use Lyapunov methods. Furthermore, this paper develops necessary and sufficient conditions for input-to-state stability of DTLTV systems in the case where the time-varying state matrix of the system converges. (c) 2025 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：9

共 33 条

[1] A characterization of integral input-to-state stability [J].

Angeli, D ;

Sontag, ED ;

Wang, Y .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1082-1097

[2]

Bacciotti A., 2019, Stability and control of linear systems

[3]

Bernstein D.S., 2018, SCALAR VECTOR MATRIX, DOI 10.1515/9781400888252

[4]

Bittanti S, 2009, COMMUN CONTROL ENG, P1

[5]

Bourlès H, 2011, LECT NOTES CONTR INF, V410, P3, DOI 10.1007/978-3-642-19727-7

[6] Characterizations of input-to-state stability for hybrid systems [J].

Cai, Chaohong ;

Teel, Andrew R. .

SYSTEMS & CONTROL LETTERS, 2009, 58 (01) :47-53

[7]

Dewilde P., 1998, Time-Varying Systems and Computations

[8] Lyapunov conditions for input-to-state stability of impulsive systems [J].

Hespanha, Joao P. ;

Liberzon, Daniel ;

Teel, Andrew R. .

AUTOMATICA, 2008, 44 (11) :2735-2744

[9]

Horn R.A., 1985, Matrix Analysis, DOI [10.1017/CBO9781139020411, DOI 10.1017/CBO9781139020411, DOI 10.1017/CBO9780511810817]

[10] Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming [J].

Huang, SD ;

James, MR ;

Nesic, D ;

Dower, PM .

AUTOMATICA, 2005, 41 (12) :2055-2065

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