On the Asymptotic Stability of Solutions of Hybrid Multivariable Systems

被引:4
作者
Aleksandrov, A. Yu. [1 ]
Platonov, A. V. [1 ]
机构
[1] St Petersburg State Univ, St Petersburg 199034, Russia
基金
俄罗斯基础研究基金会;
关键词
DYNAMICS;
D O I
10.1134/S0005117914050026
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Consideration was given to the hybrid multivariable systems whose dynamics obeys the nonlinear switched differential equations. Conditions for the zero solutions of such systems to be asymptotically stable to any law of switching were established using the comparison method. Examples of applying the results obtained to the stability analysis of hybrid automatic control system and mechanical system with switched force fields were presented.
引用
收藏
页码:818 / 828
页数:11
相关论文
共 25 条
[1]  
Abdullin R.Z., 1996, ADV SERIES MATH SCI
[2]   Aggregation and stability analysis of nonlinear complex systems [J].
Aleksandrov, A. Yu. ;
Platonov, A. V. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) :989-1002
[3]  
Aleksandrov A. Yu, 2013, Mechatronics, Automation and Control, P9
[4]   Stability analysis for a class of switched nonlinear systems [J].
Aleksandrov, A. Yu. ;
Chen, Y. ;
Platonov, A. V. ;
Zhang, L. .
AUTOMATICA, 2011, 47 (10) :2286-2291
[5]   On stability and dissipativity of some classes of complex systems [J].
Aleksandrov, A. Yu. ;
Platonov, A. V. .
AUTOMATION AND REMOTE CONTROL, 2009, 70 (08) :1265-1280
[6]   Input-to-state stability for a class of Lurie systems [J].
Arcak, M ;
Teel, A .
AUTOMATICA, 2002, 38 (11) :1945-1949
[7]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[8]   Perspectives and results on the stability and stabilizability of hybrid systems [J].
DeCarlo, RA ;
Branicky, MS ;
Pettersson, S ;
Lennartson, B .
PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082
[9]   Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium [J].
Gendelman, OV ;
Lamarque, CH .
CHAOS SOLITONS & FRACTALS, 2005, 24 (02) :501-509
[10]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70