Title :
Robust Exponential Stability for Discrete-Time Uncertain BAM Neural Networks Markovian Jump System with Time Delays
Author :
Qiu, Jiqing ; Lu, Kunfeng
Author_Institution :
Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
This paper is concerned with the problem of robust exponential stability for discrete-time BAM neural networks with mode-dependent time delays and Markovian jump parameters, by utilizing the Lyapunov functional and combining with the linear matrix inequality (LMI) approach, the global exponential stability is investigated. The time delay varies in an interval and depends on the mode of operation. A new Markov process as discrete-time, discrete-state Markov process is considered. A numerical example illustrates the effectiveness of the method.
Keywords :
Markov processes; asymptotic stability; delays; discrete time systems; linear matrix inequalities; neurocontrollers; robust control; uncertain systems; BAM neural networks; Lyapunov functional; Markov process; Markovian jump system; discrete-time uncertain system; linear matrix inequality; mode-dependent time delays; robust exponential stability; Control systems; Delay effects; Linear systems; Magnesium compounds; Markov processes; Neural networks; Neurons; Robust control; Robust stability; Sufficient conditions;
Conference_Titel :
Innovative Computing, Information and Control (ICICIC), 2009 Fourth International Conference on
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-4244-5543-0
DOI :
10.1109/ICICIC.2009.322