Title :
Robust stability criteria for discrete-time neural networks with mode-dependent time delays and Markovian jump parameters
Author :
Zhao, Xiao-dong ; Li, Li ; Zhang, Chun-e
Author_Institution :
Hebei Univ. of Technol., Tianjin
Abstract :
In this paper, we investigate the time-delay dependent robust stability problem for discrete-time neural networks with mode-dependent time delays. The jumping parameters are considered as discrete-time, discrete-state Markov process. The delay factor depends on the mode of operation. The linear factional uncertainty is considered, which means that less conservative results is obtained than using norm-bounded parameter uncertainties. All the results are cast into convenient linear matrix inequality (LMIs) forms. A numerical example is given to illustrate the effectiveness of the results.
Keywords :
Markov processes; delays; discrete time systems; linear matrix inequalities; neural nets; stability criteria; Markovian jump parameters; discrete-state Markov process; discrete-time neural networks; linear factional uncertainty; linear matrix inequality; mode-dependent time delays; robust stability criteria; Cybernetics; Delay effects; Linear matrix inequalities; Machine learning; Neural networks; Recurrent neural networks; Robust stability; Symmetric matrices; Uncertain systems; Uncertainty; Discrete-time neural networks; Robust stability; linear matrix inequalities (LMIs);
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620517