New robust stability criteria for Markovian jump discrete-time neural networks with mode-dependent time delays

Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Volumn , Issue , 2008, Pages 6138-6142

  Zhao, Xiaodong ^a   Li, Li ^b  

^a HEBEI UNIVERSITY OF TECHNOLOGY   (China)

^b HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Discrete time neural networks; Linear factional uncertainties; Linear matrix inequalities (LMIs); Markovian jump parameters; Mode dependent time delays; Robust stability

Indexed keywords

ARTIFICIAL INTELLIGENCE; CONTINUOUS TIME SYSTEMS; CONTROL THEORY; DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; INDUSTRIAL ENGINEERING; INTELLIGENT CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MARKOV PROCESSES; MATRIX ALGEBRA; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME DELAY;

CONTROL AND AUTOMATION; DISCRETE-TIME NEURAL NETWORKS; JUMPING PARAMETERS; LINEAR FACTIONAL UNCERTAINTIES; LINEAR MATRIX INEQUALITIES (LMIS); MARKOVIAN; MARKOVIAN JUMP PARAMETERS; MODE OF OPERATIONS; MODE-DEPENDENT TIME DELAYS; NORM-BOUNDED PARAMETER UNCERTAINTIES; NUMERICAL EXAMPLES; ROBUST STABILITY; TIME DELAYING;

STABILITY CRITERIA;

EID: 52149102723     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCICA.2008.4594561     Document Type: Conference Paper

References (12)

1. J. Zhang, P. Shi and J. Qiu, "Novel robust stability criteria for uncertain stochastic Hop.eld neural networks with time-varying delays," Nonlinear Analysis: Analysis: Real World Applications, vol.8, no.4, pp.1349-1357, 2007.
2. J. Qiu, H. Yang, J. Zhang and Z. Gao. "New robust stability criteria for uncertain neural networks with interval time-varying delays," Chaos, Solitons and Fractals, in press, 2007.
3. Q. Song and Z. Wang. "A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays," Physics Letters A,vol.368, no.2, pp.134-145, 2007.
4. Y. Liu and Z. Wang. "Robust stability of discretetime stochastic neural networks with time-varying delays ," Neurocomputing, in press, 2007.
5. W. Chen, X. Lu and D. Liang, "Global exponential stability for discrete-time neural networks with variable delays," Physics Letters A, vol.358, no.3, pp.186-198, 2006.
6. J. Xiong and J. Lam, "Stabilization of discerte-time Markovian jump linear systems via time-delayed controllers," Automatica, vol.42, pp.747-753, 2006.
7. P. Shi, Y. Xia, G. Liu and D. Rees, "Stochastic sliding mode control for systems with markovian jump parameters," IEEE Transactions on Automatic Control, vol.51, no.1, pp.97-102, 2006.
8. Z. Wang, Y. Liu, L. Yu and X. Liu, "Exponential stability of delayed recurrent neural networks with Markovian jumping parameters," Physics Letters A, vol.356, no.4-5, pp.346-352, 2006.
9. X. Lou and B. Cui, "Delay-dependent stochastic stability of delayed Hop.eld neural networks with Markovian jump parameters," Journal of Mathematical Analysis and Applications, vol.328, no.1, pp.316-326, 2007.
10. C. B. Soh, "Robust stability of discrete-time systems using delta operator," IEEE Transactions on Automatical Control, vol.35, no.3, pp.377-380, 1991.
11. J. Zhang, P. Shi, J. Qiu and H. Yang "A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays," Mathematical and Computer Modelling, vol.47, no.4, pp.319-326, 2002.
12. Y. Xia and Y. Jia, "Robust sliding mode control for uncertain time-delay systems: an LMI approach," IEEE Transactions on Automatic Control, vol.48, no.6, pp.1086-1092, 2003.