Exponential synchronization of Markovian jumping complex dynamical networks with randomly occurring parameter uncertainties
This paper investigates the mean-square exponential synchronization problem of complex dynamical networks with Markovian jumping and randomly occurring parameter uncertainties. The considered Markovian transition rates are assumed to be partially unknown. The parameter uncertainties are considered t...
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| Veröffentlicht in: | Nonlinear dynamics 2014-10, Vol.78 (1), p.15-27 |
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| container_title | Nonlinear dynamics |
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| creator | Zhou, Wuneng Dai, Anding Yang, Jun Liu, Huashan Liu, Xueliang |
| description | This paper investigates the mean-square exponential synchronization problem of complex dynamical networks with Markovian jumping and randomly occurring parameter uncertainties. The considered Markovian transition rates are assumed to be partially unknown. The parameter uncertainties are considered to be random occurrence and norm-bounded, and the randomly occurring parameter uncertainties obey certain Bernoulli-distributed white noise sequences. Based on the Lyapunov method and stochastic analysis, by designing mode-dependent feedback controller, some sufficient conditions are presented to ensure the mean-square exponential synchronization of Markovian jumping complex dynamical networks with partly unknown transition rates and randomly occurring parameter uncertainties. Numerical examples are given to demonstrate the validity of the theoretical results. |
| doi_str_mv | 10.1007/s11071-014-1418-x |
| format | Article |
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The considered Markovian transition rates are assumed to be partially unknown. The parameter uncertainties are considered to be random occurrence and norm-bounded, and the randomly occurring parameter uncertainties obey certain Bernoulli-distributed white noise sequences. Based on the Lyapunov method and stochastic analysis, by designing mode-dependent feedback controller, some sufficient conditions are presented to ensure the mean-square exponential synchronization of Markovian jumping complex dynamical networks with partly unknown transition rates and randomly occurring parameter uncertainties. 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Numerical examples are given to demonstrate the validity of the theoretical results.</description><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Control systems</subject><subject>Control systems design</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Feedback control</subject><subject>Jumping</subject><subject>Markov analysis</subject><subject>Markov processes</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Networks</subject><subject>Original Paper</subject><subject>Parameter uncertainty</subject><subject>Synchronism</subject><subject>Synchronization</subject><subject>Transportation networks</subject><subject>Uncertainty</subject><subject>Vibration</subject><subject>White noise</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kU1r20AQhpfSQB0nPyC3hV5yUTuz-ljpGEySBlx6acG3Zb0a1WtLu8quVNvJn4-MA4VCT3N5nneGeRm7QfiCAPJrRASJCWCWYIZlcvjAZpjLNBFFtfrIZlCJLIEKVp_YZYxbAEgFlDP2en_ovSM3WN3yeHRmE7yzL3qw3nHf8O867Pwfqx3fjl1v3W9ufNe3dOD10enOmklzNOx92EW-t8OGB-1q37VH7o0ZQzgpvQ66o4ECH52hMGg77aN4xS4a3Ua6fp9z9uvh_ufiW7L88fi0uFsmJs2qIVmvjURJoGtsCiqE1FVRGZQNlYRyjQ0RUAFGFDnItCZT5iYXQhstDJQ1pXN2e87tg38eKQ6qs9FQ22pHfowKixwzUcisnNDP_6BbPwY3XaeEyKtMpFjKicIzZYKPMVCj-mA7HY4KQZ3qUOc61FSHOtWhDpMjzk7sTz-h8Df5_9IbGaOSYQ</recordid><startdate>20141001</startdate><enddate>20141001</enddate><creator>Zhou, Wuneng</creator><creator>Dai, Anding</creator><creator>Yang, Jun</creator><creator>Liu, Huashan</creator><creator>Liu, Xueliang</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20141001</creationdate><title>Exponential synchronization of Markovian jumping complex dynamical networks with randomly occurring parameter uncertainties</title><author>Zhou, Wuneng ; 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| ispartof | Nonlinear dynamics, 2014-10, Vol.78 (1), p.15-27 |
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| language | eng |
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| subjects | Automotive Engineering Classical Mechanics Control Control systems Control systems design Dynamical Systems Engineering Feedback control Jumping Markov analysis Markov processes Mathematical models Mechanical Engineering Networks Original Paper Parameter uncertainty Synchronism Synchronization Transportation networks Uncertainty Vibration White noise |
| title | Exponential synchronization of Markovian jumping complex dynamical networks with randomly occurring parameter uncertainties |
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