Exponential H∞ Filtering for Discrete-Time Switched Neural Networks With Random Delays

IEEE Transactions on Cybernetics

Volumn 45, Issue 4, 2015, Pages 676-687

  Mathiyalagan, Kalidass ^a   Su, Hongye ^a   Shi, Peng ^b,c   Sakthivel, Rathinasamy ^d  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b UNIVERSITY OF ADELAIDE   (Australia)

^c VICTORIA UNIVERSITY   (Australia)

^d Sungkyunkwan University   (South Korea)

Author keywords

Average dwell time; exponential state estimation; H filtering; random time varying delays; switched neural networks

Indexed keywords

DECAY (ORGANIC); LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MULTIVARIABLE CONTROL SYSTEMS; PROBABILITY DISTRIBUTIONS; STOCHASTIC SYSTEMS; SWITCHING CIRCUITS; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

AVERAGE DWELL TIME; EXPONENTIAL MEAN-SQUARE STABILITY; GLOBALLY EXPONENTIALLY STABLE; LINEAR MATRIX INEQUALITY APPROACH; LYAPUNOV-KRASOVSKII FUNCTIONALS; NONLINEAR ACTIVATION FUNCTIONS; SWITCHED NEURAL NETWORKS; TIME VARYING- DELAYS;

TIME VARYING NETWORKS;

EID: 85027951498     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2014.2332356     Document Type: Article

References (45)

1. ∞ approach to stability analysis of switched Hopfield neural networks with time-delay," Nonlinear Dyn., vol. 60, no. 4, pp. 703-711, Jun. 2010.
2. ∞ stability of Takagi-Sugeno fuzzy systems combined with Hopfield neural networks," Int. J. Innov. Comput. Inf. Control, vol. 9, no. 7, pp. 2979-2986, Jul. 2013.
3. H. Bao and J. Cao, "Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay," Neural Netw., vol. 24, no. 1, pp. 19-28, Jan. 2011.
4. Y. Chen and W. X. Zheng, "Stochastic state estimation for neural networks with distributed delays and Markovian jump," Neural Netw., vol. 25, pp. 14-20, Jan. 2012.
5. ∞ state estimation of static neural networks with time-varying delay," Neurocomputing, vol. 97, pp. 16-21, Nov. 2012.
6. M. B. Elowitz and S. Leibler, "A synthetic oscillatory network of transcriptional regulators," Nature, vol. 403, pp. 335-338, Jan. 2000.
7. J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," in Proc. Nat. Acad. Sci. USA, vol. 79, pp. 2554-2558, Apr. 1982.
8. 2 filtering for delayed neural networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 56, no. 4, pp. 846-857, Apr. 2009.
9. H. Huang, G. Feng, and J. Cao, "Guaranteed performance state estimation of static neural networks with time-varying delay," Neurocomputing, vol. 74, no. 4, pp. 606-616, Jan. 2011.
10. T. Huang, C. Li, S. Duan, and J. A. Starzyk, "Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 6, pp. 866-875, Jun. 2012.
11. O. M. Kwon, M. J. Park, S. M. Lee, J. H. Park, and E. J. Cha, "Stability for neural networks with time-varying delays via some new approaches,"IEEE Trans. Neural Netw. Learn. Syst., vol. 24, no. 2, pp. 181-193, Feb. 2013.
12. O. M. Kwon, S. M. Lee, J. H. Park, and E. J. Cha, "New approaches on stability criteria for neural networks with interval time-varying delays,"Appl. Math. Comput., vol. 218, no. 19, pp. 9953-9964, Jun. 2012.
13. S. Lakshmanan, J. H. Park, H. Y. Jung, and P. Balasubramaniam, "Design of state estimator for neural networks with leakage, discrete and distributed delays," Appl. Math. Comput., vol. 218, no. 22, pp. 11297-11310, Jul. 2012.
14. T. H. Lee, J. H. Park, O. M. Kwon, and S. M. Lee, "Stochastic sampled-data control for state estimation of time-varying delayed neural networks," Neural Netw., vol. 46, pp. 99-108, Oct. 2013.
15. C. Li, G. Feng, and T. Huang, "On hybrid impulsive and switching neural networks," IEEE Trans. Syst., Man, Cybern., vol. 38, no. 6, pp. 1549-1560, Dec. 2008.
16. J. Lian, Z. Feng, and P. Shi, "Observer design for switched recurrent neural networks: An average dwell time approach," IEEE Trans. Neural Netw., vol. 22, no. 10, pp. 1547-1556, Oct. 2011.
17. ∞ filtering for discrete-time genetic regulatory networks with random delays," Math. Biosci., vol. 239, no. 1, pp. 97-105, Sep. 2012.
18. Y. Liu, Z. Wang, and X. Liu, "Global exponential stability of generalized recurrent neural networks with discrete and distributed delays," Neural Netw., vol. 19, no. 5, pp. 667-675, Jun. 2006.
19. K. Mathiyalagan, R. Sakthivel, and S. Marshal Anthoni, "Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks,"Phys. Lett. A, vol. 376, nos. 8-9, pp. 901-912, Feb. 2012.
20. ∞ control for discrete-time stochastic genetic regulatory networks with time delays," Can. J. Phys., vol. 90, no. 10, pp. 939-953, Oct. 2012.
21. G. Nagamani and P. Balasubramaniam, "Delay-dependent passivity criteria for uncertain switched neural networks of neutral type with interval time-varying delay," Phys. Scripta, vol. 85, no. 4, p. 045010, Apr. 2012.
22. J. H. Park, O. M. Kwon, and S. M. Lee, "State estimation for neural networks of neutral-type with interval time-varying delays," Appl. Math. Comp., vol. 203, no. 1, pp. 217-223, Sep. 2008.
23. A. Ray, "Output feedback control under randomly varying distributed delays," J. Guid. Control Dyn., vol. 17, no. 4, pp. 701-711, Jul./Aug. 1994.
24. Y. Tang, J. Fang, M. Xia, and D. Yu, "Delay-distribution-dependent stability of stochastic discrete-time neural networks with randomly mixed time-varying delays," Neurocomputing, vol. 72, nos. 16-18, pp. 3830-3838, Oct. 2009.
25. S. Tong, Y. Li, Y. Li, and Y. Liu, "Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 6, pp. 1693-1704, Dec. 2011.
26. S. Tong, T. Wang, Y. Li, and B. Chen, "A combined backstepping and stochastic small-gain approach to robust adaptive fuzzy output feedback control," IEEE Trans. Fuzzy Syst., vol. 21, no. 2, pp. 314-327, Apr. 2013.
27. S. Tong, T. Wang, Y. Li, and H. Zhang, "Adaptive neural network output feedback control for stochastic nonlinear systems with unknown dead-zone and unmodeled dynamics," IEEE Trans. Cybern., vol. 44, no. 6, pp. 910-921, Jun. 2014.
28. V. Vesely and D. Rosinova, "Robust MPC controller design for switched systems using multi-parameter dependent lyapunov function," Int. J. Innov. Comput. Inf. Control, vol. 10, no. 1, pp. 269-280, Feb. 2014.
29. Z. Wang, Y. Liu, X. Liu, and Y. Shi, "Robust state estimation for discrete-time stochastic neural networks with probabilistic measurement delays," Neurocomputing, vol. 74, no. 1-3, pp. 256-264, Dec. 2010.
30. Z. Wang, D. W. C. Ho, and X. Liu, "State estimation for delayed neural networks," IEEE Trans. Neural Netw., vol. 16, no. 1, pp. 279-284, Jan. 2005.
31. G. Wei et al., "Robust filtering for stochastic genetic regulatory networks with time-varying delay," Math. Bios., vol. 220, no. 2, pp. 73-80, Aug. 2009.
32. L. Wu, Z. Feng, and W. X. Zheng, "Exponential stability analysis for delayed neural networks with switching parameters: Average dwell time approach," IEEE Trans. Neural Netw., vol. 21, no. 9, pp. 1396-1407, Sep. 2010.
33. Z. Wu, H. Su, and J. Chu, "State estimation for discrete Markovian jumping neural networks with time delay," Neurocomputing, vol. 73, nos. 10-12, pp. 2247-2254, Jun. 2010.
34. Z. Wu, P. Shi, H. Su, and J. Chu, "Dissipativity analysis for discrete-time stochastic neural networks with time-varying delays," IEEE Trans. Neural Netw. Learn. Syst., vol. 24, no. 3, pp. 345-355, Mar. 2013.
35. Z. Wu, P. Shi, H. Su, and J. Chu, "Sampled-data exponential synchronization of complex dynamical networks with time-varying coupling delay," IEEE Trans. Neural Netw. Learn. Syst., vol. 24, no. 8, pp. 1177-1187, Aug. 2013.
36. ∞ filtering for networked stochastic systems with randomly occurring sensor nonlinearities and packet dropouts," Signal Process., vol. 93, no. 7, pp. 1794-1803, Jul. 2013.
37. Y. Yao, J. Liang, and J. Cao, "Stability analysis for switched genetic regulatory networks: An average dwell time approach," J. Frankl. Inst., vol. 348, no. 10, pp. 2718-2733, Dec. 2011.
38. X. Zhao, L. Zhang, P. Shi, and M. Liu, "Stability of switched positive linear systems with average dwell time switching," Automatica, vol. 48, no. 6, pp. 1132-1137, Jun. 2012.
39. D. Zhang and L. Yu, "Passivity analysis for discrete-time switched neural networks with various activation functions and mixed time delays,"Nonlinear Dyn., vol. 67, no. 1, pp. 403-411, Jan. 2012.
40. G. Zhang, C. Han, Y. Guan, and L. Wu, "Exponential stability analysis and stabilization of discrete-time nonlinear switched systems with time delays," Int. J. Innov. Comput. Inf. Control, vol. 8, no. 3(A), pp. 1973-1986, Mar. 2012.
41. ∞ filtering for uncertain discrete-time switched linear systems with average dwell time: A μ-dependent approach," Int. J. Robust Nonlinear Control, vol. 18, no. 11, pp. 1188-1207, Jul. 2008.
42. S. Zhang, Z. Wang, D. Ding, and H. Shu, "Fuzzy filtering with randomly occurring parameter uncertainties, interval delays, and channel fadings,"IEEE Trans. Cybern., vol. 44, no. 3, pp. 406-417, Mar. 2014.
43. X. Zhang, X. Lin, and Y. Wang, "Robust passive filtering for neutral-type neural networks with time-varying discrete and unbounded distributed delays," J. Frankl. Inst., vol. 350, no. 5, pp. 966-989, Jun 2013.
44. ∞ filtering of networked discrete-time systems with random packet losses," Inf. Sci., vol. 179, no. 22, pp. 3944-3955, Nov. 2009.
45. Q. Zhou, P. Shi, H. Liu, and S. Xu, "Neural-network-based decentralized adaptive output-feedback control for large-scale stochastic nonlinear systems,"IEEE Trans. Syst., Man, Cybern., vol. 42, no. 6, pp. 1608-1619, Dec. 2012.