Stability analysis of a class of non-simultaneous interconnected impulsive systems

被引：3

作者：

Aghaeeyan, A. ^{[1
]}

Yazdanpanah, M. J. ^{[2
]}

机构：

[1] Univ Tehran, Sch Elect & Comp Engn, POB 14395-515, Tehran, Iran

[2] Univ Tehran, Control & Intelligent Proc Ctr Excellence, Sch Elect & Comp Engn, POB 14395-515, Tehran, Iran

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 83卷

关键词：

Impulsive systems; Input-to-state stability; Small gain theorem; TO-STATE STABILITY; FINITE-TIME STABILIZATION; SMALL-GAIN THEOREMS; NETWORKS; SYNCHRONIZATION; DELAYS;

D O I：

10.1016/j.cnsns.2019.105141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides sufficient conditions for input-to-state stability of two interconnected nonlinear impulsive systems whose jump instants are not necessarily identical. Unlike prior results, each subsystem is allowed to possess stabilizing or destabilizing flows. In this regard, a candidate exponential input-to-state stable (ISS) Lyapunov function is constructed for the overall system. Then, by bounding the trajectory, for each possible combination of impulsive subsystems, sufficient conditions are presented which ensure input-to-state stability of the interconnected system. Furthermore, to render the newly-derived conditions less conservative, the coefficients of the candidate exponential ISS Lyapunov function of each subsystem are considered to be time-varying. The applicability of the theoretical outcomes is verified through some numerical examples. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：14

共 42 条

[1] On the discretization and control of an SEIR epidemic model with a periodic impulsive vaccination [J].

Alonso-Quesada, S. ;

De la Sen, M. ;

Ibeas, A. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 :247-274

[2] Infinite horizon optimal impulsive control with applications to Internet congestion control [J].

Avrachenkov, Konstantin ;

Habachi, Oussama ;

Piunovskiy, Alexey ;

Zhang, Yi .

INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (04) :703-716

[3] Optimal Impulsive Control With Application to Antiangiogenic Tumor Therapy [J].

Cacace, Filippo ;

Cusimano, Valerio ;

Palumbo, Pasquale .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2020, 28 (01) :106-117

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

Cai, Chaohong ;

Teel, Andrew R. .

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

[5] Impulsive Synchronization of Reaction-Diffusion Neural Networks With Mixed Delays and Its Application to Image Encryption [J].

Chen, Wu-Hua ;

Luo, Shixian ;

Zheng, Wei Xing .

IEEE Transactions on Neural Networks and Learning Systems, 2016, 27 (12) :2696-2710

[6] Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

AUTOMATICA, 2009, 45 (06) :1481-1488

[7] Input-to-state stability of impulsive systems and their networks [J].

Dashkovskiy, Sergey ;

Feketa, Petro .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 26 :190-200

[8] Input-to-state Stability of Impulsive Systems with Different Jump Maps [J].

Dashkovskiy, Sergey ;

Feketa, Petro .

IFAC PAPERSONLINE, 2016, 49 (18) :1073-1078

[9] INPUT-TO-STATE STABILITY OF NONLINEAR IMPULSIVE SYSTEMS [J].

Dashkovskiy, Sergey ;

Mironchenko, Andrii .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) :1962-1987

[10] Input-to-state stability of interconnected hybrid systems [J].

Dashkovskiy, Sergey ;

Kosmykov, Michael .

AUTOMATICA, 2013, 49 (04) :1068-1074

← 1 2 3 4 5 →