Stability analysis of complex-valued impulsive system

被引：24
作者：
Fang, Tao [1 ,2 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 08期
关键词：
DIFFERENTIAL-EQUATIONS; CONTROLLABILITY; COEFFICIENTS; MODEL;
D O I：
10.1049/iet-cta.2013.0116
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Since quantum system, which is one of the foci of ongoing research, is the classical example of complex-valued systems, in this study, the stability of complex-valued impulsive system is addressed. Taking advantage of the Lyapunov function in the complex fields, the stability criteria of complex-valued impulsive system are established, which not only generalises the stability criteria on real-valued impulsive system, but also greatly reduces the complexity of analysis and computation. Moreover, as an application, a linear impulsive feedback controller for the complex-valued Lu system is designed.
引用
收藏
页码：1152 / 1159
页数：8
相关论文
共 27 条
[1]   Fuzzy clustering complex-valued neural network to diagnose cirrhosis disease [J].
Ceylan, Rahime ;
Ceylan, Murat ;
Ozbay, Yuksel ;
Kara, Sadik .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (08) :9744-9751
[2]   Nonlinear boundary value problem of first order impulsive functional differential equations [J].
Chen, LJ ;
Sun, JT .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (02) :726-741
[3]   Classical and quantum-inspired electromagnetism-like mechanism and its applications [J].
Chou, Y. -H. ;
Chen, C. -Y. ;
Chiu, C. -H. ;
Chao, H. -C. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (10) :1424-1433
[4]   Low-dimensional behaviour in the complex Ginzburg-Landau equation [J].
Doering, Charles R. ;
Gibbon, John D. ;
Holm, Darryl D. ;
Nicolaenko, Basil .
NONLINEARITY, 1988, 1 (02) :279-309
[5]   Quantum control theory and applications: a survey [J].
Dong, D. ;
Petersen, I. R. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (12) :2651-2671
[6]   Existence and uniqueness of solutions to complex-valued nonlinear impulsive differential systems [J].
Fang, Tao ;
Sun, Jitao .
ADVANCES IN DIFFERENCE EQUATIONS, 2012, :1-9
[7]  
Hirose A., 2003, Complex-Valued Neural Networks: Theories and Applications
[8]   Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks [J].
Li, Chunxiang ;
Shi, Junping ;
Sun, Jitao .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (10) :3099-3111
[9]   Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects [J].
Li, Chunxiang ;
Sun, Jitao ;
Sun, Ruoyan .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07) :1186-1198
[10]   Stability analysis of impulsive control systems [J].
Liu, XZ ;
Liu, YQ ;
Teo, KL .
MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (12-13) :1357-1370
123