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
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
[21]   Adaptive-impulsive synchronization of chaotic systems [J].
Wan, Xiaojun ;
Sun, Jitao .
MATHEMATICS AND COMPUTERS IN SIMULATION, 2011, 81 (08) :1609-1617
[22]   Stability analysis in a first-order complex differential equations with delay [J].
Wei, JJ ;
Zhang, CR .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (05) :657-671
[23]   Finite-time stability of linear time-varying singular impulsive systems [J].
Xu, J. ;
Sun, J. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) :2239-2244
[24]   Stability and quantization of complex-valued nonlinear quantum systems [J].
Yang, Ciann-Dong .
CHAOS SOLITONS & FRACTALS, 2009, 42 (02) :711-723
[25]   Complex-valued pipelined decision feedback recurrent neural network for non-linear channel equalisation [J].
Zhao, H. Q. ;
Zeng, X. P. ;
He, Z. Y. ;
Jin, W. D. ;
Li, T. R. .
IET COMMUNICATIONS, 2012, 6 (09) :1082-1096
[26]   Controllability and observability for impulsive systems in complex fields [J].
Zhao, Shouwei ;
Sun, Jitao .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) :1513-1521
[27]   Stability and absolute stability of a general 2-D non-linear FM second model [J].
Zhu, Q. ;
Hu, G. -D. .
IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (01) :239-246