Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays
By employing fundamental solution matrix of coefficients and Lyapunov function, we obtain some sufficient conditions on the existence and global exponential stability of anti periodic oscillatory solution for fuzzy bi-directional memory neural networks with time delays. These criteria are presented...
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Veröffentlicht in: | Journal of applied mathematics & computing 2018-06, Vol.57 (1-2), p.729-743 |
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creator | Zhang, Qianhong Lin, Fubiao Zhong, Xiaoying |
description | By employing fundamental solution matrix of coefficients and Lyapunov function, we obtain some sufficient conditions on the existence and global exponential stability of anti periodic oscillatory solution for fuzzy bi-directional memory neural networks with time delays. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of neural networks. Finally an example illustrates our results are feasible. |
doi_str_mv | 10.1007/s12190-017-1130-3 |
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Finally an example illustrates our results are feasible.</description><subject>Applied mathematics</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Fuzzy logic</subject><subject>Liapunov functions</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Engineering</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mathematics of Computing</subject><subject>Matrix</subject><subject>Neural networks</subject><subject>Original Research</subject><subject>Recurrent neural networks</subject><subject>Stability</subject><subject>Theory of Computation</subject><issn>1598-5865</issn><issn>1865-2085</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kE1LAzEURYMoWKs_wF3A9Wg-OslkWUv9gIobXYdMJlNTp8mYZKjTX29KBVeu3uNx7n1wALjG6BYjxO8iJligAmFeYExRQU_ABFesLAiqytO8l6Iqynw4BxcxbhBiXCAxAcPy28ZknDZQuQauO1-rrhuh-e69My5Z1cGYVG07m0bo20wlC3sTrG-shtF3Q7LewdYH2A77_Qjv5y_QmSHkoDNp58NnhDubPmCyWwMb06kxXoKzVnXRXP3OKXh_WL4tnorV6-PzYr4qNMUsFZxyxcSMaqZL3jRljTWvZyVSQjSMaqpLXTOGK85mDNfKiKqiipqKcCJIozmdgptjbx_812Bikhs_BJdfSoKIoIJyQTOFj5QOPsZgWtkHu1VhlBjJg115tCuzXXmwKw8ZcszEzLq1CX_N_4d-AOk4fkU</recordid><startdate>20180601</startdate><enddate>20180601</enddate><creator>Zhang, Qianhong</creator><creator>Lin, Fubiao</creator><creator>Zhong, Xiaoying</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20180601</creationdate><title>Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays</title><author>Zhang, Qianhong ; 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subjects | Applied mathematics Computational Mathematics and Numerical Analysis Fuzzy logic Liapunov functions Mathematical analysis Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Matrix Neural networks Original Research Recurrent neural networks Stability Theory of Computation |
title | Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays |
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