Citation Relationships

Legends: Link to a Model Reference cited by multiple papers


Vanualailai J, Nakagiri S (2005) Some generalized sufficient convergence criteria for nonlinear continuous neural networks. Neural Comput 17:1820-35 [PubMed]

References and models cited by this paper

References and models that cite this paper

Arbib MA (2002) The handbook of brain theory and neural networks (2nd ed)
Arik S, Tavsanoglu V (1998) A comment on Comments on necessary and sufficient condition for absolute stability of neural networks IEEE Trans Circuits Systems-I: Fundamental Theory and Applications 45:595-596
Chen T, Lu W, Amari S (2002) Global convergence rate of recurrently connected neural networks. Neural Comput 14:2947-57 [Journal] [PubMed]
Cohen M, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural network. Ieee Trans Smc 13:815-826
Fang Y, Kincaid TG (1996) Stability analysis of dynamical neural networks. IEEE Trans Neural Netw 7:996-1006 [Journal] [PubMed]
Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems IEEE Trans Circuits Systems 42:354-366
Grossberg S (1988) Nonlinear neural networks: Principles, mechanisms, and architectures Neural Networks 1:17-61
Guan Z, Chen G, Qin Y (2000) On equilibria, stability and instability of Hopfield neural networks IEEE Trans Neural Networks 11:534-540
Hara T (1975) On the asymptotic behavior of solutions of certain non-autonomous differential equations Osaka J Math 12:267-282
Hirsch MW (1989) Convergent activation dynamics in continuous time networks Neural Netw 2:331-349
Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci U S A 81:3088-92 [PubMed]
Hopfield JJ, Tank DW (1985) "Neural" computation of decisions in optimization problems. Biol Cybern 52:141-52 [PubMed]
Hopfield JJ, Tank DW (1986) Computing with neural circuits: a model. Science 233:625-33 [PubMed]
Juang JC (1999) Stability analysis of Hopfield-type neural networks. IEEE Trans Neural Netw 10:1366-74 [Journal] [PubMed]
Kaszkurewicz E, Bhaya A (2000) Matrix diagonal stability in systems and computation
Koksal S, Sivasundaram S (1993) Stability properties of the Hopfield-type neural networks Dynamics And Stability Of Systems 8:181-187
Krasovskii KK (1954) On the stability in the large of a system of nonlinear differential equations Prikladnaya Matematika I Mekhanika 18:735-737
Lakshmikantham V, Leela S, Martynyuk AA (1990) Practical stability of nonlinear systems
Lakshmikantham V, Matrosov VM, Sivasundaram S (1991) Vector Lyapunov functions and the stability analysis of nonlinear systems
Liang XB, Si J (2001) Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem. IEEE Trans Neural Netw 12:349-59 [Journal] [PubMed]
Matsuoka K (1992) Stability conditions for nonlinear continuous neural networks with asymmetric connection weights Neural Netw 5:495-500
Pakdaman K, Malta CP, Grotta-Ragazzo C (1999) Asymptotic behavior of irreducible excitatory networks of analog graded-response neurons. IEEE Trans Neural Netw 10:1375-81 [Journal] [PubMed]
Qiao H, Peng J, Xu ZB (2001) Nonlinear measures: a new approach to exponential stability analysis for Hopfield-type neural networks. IEEE Trans Neural Netw 12:360-70 [Journal] [PubMed]
Sastry S (1999) Nonlinear systems: Analysis, stability and control
Vanualailai J, Soma T, Nakagiri S (2002) Convergence of solutions and practical stability of Hopfield-type neural networks with time-varying external inputs Nonlinear Studies 9:109-122
Yi Z, Heng PA, Fu AC (1999) Estimate of exponential convergence rate and exponential stability for neural networks. IEEE Trans Neural Netw 10:1487-93 [Journal] [PubMed]
(26 refs)