An error passivation approach to filtering for switched neural networks with noise disturbance

Neural Computing and Applications

Volumn 21, Issue 5, 2012, Pages 853-861

  Ahn, Choon Ki ^a  

^a Seoul National University of Science and Technology   (South Korea)

Author keywords

Exponential filter; Linear matrix inequality (LMI); Lyapunov Krasovskii stability theory; Passive filter; Switched Hopfield neural networks

Indexed keywords

EXPONENTIAL FILTERS; EXPONENTIALLY STABLE; FILTERING ERROR; GAIN MATRICES; ILLUSTRATIVE EXAMPLES; JENSEN'S INEQUALITY; LYAPUNOV-KRASOVSKII STABILITY THEORY; NOISE DISTURBANCE; OUTPUT ERRORS; SUFFICIENT CRITERION;

HOPFIELD NEURAL NETWORKS; PASSIVATION; PASSIVE FILTERS;

LINEAR MATRIX INEQUALITIES;

EID: 84859865902     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-010-0474-5     Document Type: Article

References (16)

1. Gupta MM, Jin L, Homma N (2003) Static and dynamic neural networks. Wiley, Hoboken.
2. Hopfield JJ (1984) Neurons with grade response have collective computational properties like those of a two-state neurons. Proc Nat Acad Sci 81: 3088-3092.
3. Huang H, Qu Y, Li H (2005) Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty. Phys Lett A 345: 345-354.
4. Lou XY, Cui BT (2007) Delay-dependent criteria for robust stability of uncertain switched Hopfield neural networks. Int J Autom Comput 4: 304-314.
5. ∞ approach to stability analysis of switched Hopfield neural networks with time-delay. Nonlinear Dyn 60: 703-711.
6. Ahn CK (2010) Passive learning and input-to-state stability of switched Hopfield neural networks with time-delay. Inf Sci 180: 4582-4594.
7. Wang Z, Ho DWC, Liu X (2005) State estimation for delayed neural networks. IEEE Trans Neural Netw 16: 279-284.
8. He Y, Wang QG, Wu M, Lin C (2006) Delay-dependent state estimation for delayed neural networks. IEEE Trans Neural Netw 17: 1077-1081.
9. Liu Y, Wang Z, Liu X (2007) Design of exponential state estimators for neural networks with mixed time delays. Phys Lett A 364: 401-412.
10. ∞ filtering for delayed neural networks. IEEE Trans Circ Syst I 56: 846-857.
11. Willems JC (1972) Dissipative dynamical systems, part I: general theory. Arch Ration Mech Anal 45: 321-351.
12. Byrnes CI, Isidori A, Willem JC (1991) Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear system. IEEE Trans Automat Contr 36: 1228-1240.
13. Boyd S, Ghaoui LE, Feron E, Balakrishinan V (1994) Linear matrix inequalities in systems and control theory. SIAM, Philadelphia.
14. Gu K, Kharitonov V, Chen J (2003) Stability of time-delay systems. Springer, Boston.
15. Noldus E (1985) Stabilization of a class of distributional convolutional equations. Int J Control 41: 947-960.
16. Gahinet P, Nemirovski A, Laub AJ, Chilali M (1995) LMI control toolbox. The Mathworks, Natick.