Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks
Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation fu...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Subramanian, K. [verfasserIn] Muthukumar, P. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
Complex-valued Cohen–Grossberg BAM neural networks |
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| Übergeordnetes Werk: |
Enthalten in: Neural computing & applications - London : Springer, 1993, 29(2016), 9 vom: 03. Sept., Seite 565-584 |
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| Übergeordnetes Werk: |
volume:29 ; year:2016 ; number:9 ; day:03 ; month:09 ; pages:565-584 |
| Links: |
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| DOI / URN: |
10.1007/s00521-016-2539-6 |
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| Katalog-ID: |
SPR006659535 |
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| 245 | 1 | 0 | |a Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
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| 520 | |a Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. | ||
| 650 | 4 | |a Complex-valued Cohen–Grossberg BAM neural networks |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Existence and uniqueness of equilibrium point |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Global asymptotic stability |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Linear matrix inequalities |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Time delays |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Muthukumar, P. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Neural computing & applications |d London : Springer, 1993 |g 29(2016), 9 vom: 03. Sept., Seite 565-584 |w (DE-627)271595574 |w (DE-600)1480526-1 |x 1433-3058 |7 nnns |
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10.1007/s00521-016-2539-6 doi (DE-627)SPR006659535 (SPR)s00521-016-2539-6-e DE-627 ger DE-627 rakwb eng 004 ASE 004 ASE 54.72 bkl Subramanian, K. verfasserin aut Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. Complex-valued Cohen–Grossberg BAM neural networks (dpeaa)DE-He213 Existence and uniqueness of equilibrium point (dpeaa)DE-He213 Global asymptotic stability (dpeaa)DE-He213 Linear matrix inequalities (dpeaa)DE-He213 Time delays (dpeaa)DE-He213 Muthukumar, P. verfasserin aut Enthalten in Neural computing & applications London : Springer, 1993 29(2016), 9 vom: 03. Sept., Seite 565-584 (DE-627)271595574 (DE-600)1480526-1 1433-3058 nnns volume:29 year:2016 number:9 day:03 month:09 pages:565-584 https://dx.doi.org/10.1007/s00521-016-2539-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE AR 29 2016 9 03 09 565-584 |
| spelling |
10.1007/s00521-016-2539-6 doi (DE-627)SPR006659535 (SPR)s00521-016-2539-6-e DE-627 ger DE-627 rakwb eng 004 ASE 004 ASE 54.72 bkl Subramanian, K. verfasserin aut Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. Complex-valued Cohen–Grossberg BAM neural networks (dpeaa)DE-He213 Existence and uniqueness of equilibrium point (dpeaa)DE-He213 Global asymptotic stability (dpeaa)DE-He213 Linear matrix inequalities (dpeaa)DE-He213 Time delays (dpeaa)DE-He213 Muthukumar, P. verfasserin aut Enthalten in Neural computing & applications London : Springer, 1993 29(2016), 9 vom: 03. Sept., Seite 565-584 (DE-627)271595574 (DE-600)1480526-1 1433-3058 nnns volume:29 year:2016 number:9 day:03 month:09 pages:565-584 https://dx.doi.org/10.1007/s00521-016-2539-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE AR 29 2016 9 03 09 565-584 |
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10.1007/s00521-016-2539-6 doi (DE-627)SPR006659535 (SPR)s00521-016-2539-6-e DE-627 ger DE-627 rakwb eng 004 ASE 004 ASE 54.72 bkl Subramanian, K. verfasserin aut Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. Complex-valued Cohen–Grossberg BAM neural networks (dpeaa)DE-He213 Existence and uniqueness of equilibrium point (dpeaa)DE-He213 Global asymptotic stability (dpeaa)DE-He213 Linear matrix inequalities (dpeaa)DE-He213 Time delays (dpeaa)DE-He213 Muthukumar, P. verfasserin aut Enthalten in Neural computing & applications London : Springer, 1993 29(2016), 9 vom: 03. Sept., Seite 565-584 (DE-627)271595574 (DE-600)1480526-1 1433-3058 nnns volume:29 year:2016 number:9 day:03 month:09 pages:565-584 https://dx.doi.org/10.1007/s00521-016-2539-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE AR 29 2016 9 03 09 565-584 |
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| author |
Subramanian, K. |
| spellingShingle |
Subramanian, K. ddc 004 bkl 54.72 misc Complex-valued Cohen–Grossberg BAM neural networks misc Existence and uniqueness of equilibrium point misc Global asymptotic stability misc Linear matrix inequalities misc Time delays Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
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Subramanian, K. |
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004 ASE 54.72 bkl Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks Complex-valued Cohen–Grossberg BAM neural networks (dpeaa)DE-He213 Existence and uniqueness of equilibrium point (dpeaa)DE-He213 Global asymptotic stability (dpeaa)DE-He213 Linear matrix inequalities (dpeaa)DE-He213 Time delays (dpeaa)DE-He213 |
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ddc 004 bkl 54.72 misc Complex-valued Cohen–Grossberg BAM neural networks misc Existence and uniqueness of equilibrium point misc Global asymptotic stability misc Linear matrix inequalities misc Time delays |
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ddc 004 bkl 54.72 misc Complex-valued Cohen–Grossberg BAM neural networks misc Existence and uniqueness of equilibrium point misc Global asymptotic stability misc Linear matrix inequalities misc Time delays |
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ddc 004 bkl 54.72 misc Complex-valued Cohen–Grossberg BAM neural networks misc Existence and uniqueness of equilibrium point misc Global asymptotic stability misc Linear matrix inequalities misc Time delays |
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Elektronische Aufsätze Aufsätze Elektronische Ressource |
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Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
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| title_full |
Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
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Subramanian, K. |
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Neural computing & applications |
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Neural computing & applications |
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Subramanian, K. Muthukumar, P. |
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Elektronische Aufsätze |
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Subramanian, K. |
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10.1007/s00521-016-2539-6 |
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004 |
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verfasserin |
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existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued cohen–grossberg bam neural networks |
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Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
| abstract |
Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. |
| abstractGer |
Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. |
| abstract_unstemmed |
Abstract This paper investigates the existence, uniqueness, and global asymptotic stability of equilibrium point for a complex-valued Cohen–Grossberg delayed bidirectional associative memory neural networks. The two types of complex-valued behaved functions, amplification functions and activation functions, are considered. By using homeomorphism theory and inequality technique, the sufficient conditions for the existence of unique equilibrium point are obtained. Then, by constructing a suitable Lyapunov–Krasovskii functional, the global asymptotic stability condition of the proposed neural networks is derived in terms of linear matrix inequalities. This linear matrix inequality can be efficiently solved via the standard numerical packages. Finally, the numerical examples are given to validate the effectiveness of theoretical results. |
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9 |
| title_short |
Existence, uniqueness, and global asymptotic stability analysis for delayed complex-valued Cohen–Grossberg BAM neural networks |
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https://dx.doi.org/10.1007/s00521-016-2539-6 |
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Muthukumar, P. |
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Muthukumar, P. |
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| doi_str |
10.1007/s00521-016-2539-6 |
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2024-07-04T00:05:26.671Z |
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|
| score |
7.4004087 |