Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses
In this paper, we present a general class of BAM neural networks with discontinuous neuron activations and impulses. By using the fixed point theorem in differential inclusions theory, we investigate the existence of periodic solution for this neural network. By constructing the suitable Lyapunov fu...
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| Veröffentlicht in: | Applied mathematical modelling 2009-06, Vol.33 (6), p.2564-2574 |
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| container_title | Applied mathematical modelling |
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| creator | Wu, Huaiqin Shan, Caihong |
| description | In this paper, we present a general class of BAM neural networks with discontinuous neuron activations and impulses. By using the fixed point theorem in differential inclusions theory, we investigate the existence of periodic solution for this neural network. By constructing the suitable Lyapunov function, we give a sufficient condition which ensures the uniqueness and global exponential stability of the periodic solution. The results of this paper show that the Forti’s conjecture is true for BAM neural networks with discontinuous neuron activations and impulses. Further, a numerical example is given to demonstrate the effectiveness of the results obtained in this paper. |
| doi_str_mv | 10.1016/j.apm.2008.07.022 |
| format | Article |
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By using the fixed point theorem in differential inclusions theory, we investigate the existence of periodic solution for this neural network. By constructing the suitable Lyapunov function, we give a sufficient condition which ensures the uniqueness and global exponential stability of the periodic solution. The results of this paper show that the Forti’s conjecture is true for BAM neural networks with discontinuous neuron activations and impulses. Further, a numerical example is given to demonstrate the effectiveness of the results obtained in this paper.</description><subject>Applied sciences</subject><subject>Artificial intelligence</subject><subject>Computer science; control theory; systems</subject><subject>Connectionism. Neural networks</subject><subject>Differential inclusions</subject><subject>Exact sciences and technology</subject><subject>Global exponential stability</subject><subject>Impulses</subject><subject>Neural networks</subject><subject>Neuron activation functions</subject><subject>Periodic solution</subject><issn>0307-904X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkMFO3DAQhnOgEhR4gN58obdNx3Zi76onikqLRNUDIPVmOY4tZsnGqcdZtG-Pt4s4Fl_Glr7_9-irqk8cag5cfVnXdtrUAmBZg65BiKPqBCToxQqaP8fVR6I1ALTldVKlu2w7HDDvmB3tsCMkFmJik08Ye3SM4jBnjCOLgX27_MVGPyc7lJGfY3oi9oz5kfVILo4ZxznO9A8pAesybu0-S6W7Z7iZ5oE8nVUfgi2X89d5Wj1cf7-_-rm4_f3j5uryduEaKfLCtdA1Wni91CsOXS-cBdUHJbnsuHOqnG4V2lZLraBZemt18FIF4YOE0AR5Wn0-9E4p_p09ZbMpa_phsKMvaxopW9ko1b4LCmi4ksALyA-gS5Eo-WCmhBubdoaD2as3a1PUm716A9oU9SVz8VpuydkhJDs6pLeg4EKvFNeF-3rgfFGyRZ8MOfSj8z0m77LpI_7nlxeruJ2z</recordid><startdate>20090601</startdate><enddate>20090601</enddate><creator>Wu, Huaiqin</creator><creator>Shan, Caihong</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TK</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090601</creationdate><title>Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses</title><author>Wu, Huaiqin ; Shan, Caihong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c432t-c50b472e787910bd2ca06df6313b1cc6666b9f557376048eaa7fe36f2ef30f4f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>Artificial intelligence</topic><topic>Computer science; control theory; systems</topic><topic>Connectionism. 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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Applied sciences Artificial intelligence Computer science control theory systems Connectionism. Neural networks Differential inclusions Exact sciences and technology Global exponential stability Impulses Neural networks Neuron activation functions Periodic solution |
| title | Stability analysis for periodic solution of BAM neural networks with discontinuous neuron activations and impulses |
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