Title :
Robust exponential stability of cellular neural networks with mode-dependent time delays and Markovian jump parameters
Author :
Qiu, Ji-qing ; Lu, Kun-Feng ; Li, Jie
Author_Institution :
Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
In this paper, we investigate the problem of global robust exponential stability for a class of cellular neural networks with mode-dependent time-varying delays and Markovian jump parameters by employing an improved free-weighting matrix approach. A new Markov process as discrete-time, discrete-state Markov process are considered. A mode-dependent time delays stability performance analysis result is first established for error systems without ignoring any terms in the derivative of Lyapunov functional by considering the relationship between the time-varying delay and its upper bound. Finally, one numerical example illustrate the effectiveness and less conservativeness of our proposed method.
Keywords :
Lyapunov methods; Markov processes; Newton method; asymptotic stability; cellular neural nets; delays; discrete time systems; linear matrix inequalities; robust control; stability criteria; time-varying systems; LMI; Leibniz-Newton formula; Lyapunov-Krasovskii functional; Markovian jump parameter; cellular neural network; discrete-state Markov process; discrete-time system; error system; free-weighting matrix approach; global robust exponential stability criterion; mode-dependent time-varying delay; Cellular neural networks; Cybernetics; Delay effects; Machine learning; Robust stability; Markovian jumping system; discrete-time system; mode-dependent time delays; robust exponential stability;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212560