Theory of stochastic dissipative systems

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dc.contributor.authorWu, Z.
dc.contributor.authorCui, M.
dc.contributor.authorXie, X.
dc.contributor.authorShi, P.
dc.date.issued2011
dc.description.abstractBy introducing the escape time, a new definition of the dissipativity is introduced under some assumptions that are very reasonable for most physical models. Based on this definition, criteria on the existence and the stability of the solution are presented, which can be seen as the extension of Lyapunov method to the non-smooth case. The dissipativity is applied to cascaded nonlinear stochastic systems and interconnected systems to display the superiority of the new framework, which shows that there is no need to calculate the first exit time and the escape time.
dc.description.statementofresponsibilityZhaojing Wu, Mingyue Cui, Xuejun Xie, and Peng Shi
dc.identifier.citationIEEE Transactions on Automatic Control, 2011; 56(7):1650-1655
dc.identifier.doi10.1109/TAC.2011.2121370
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/83142
dc.language.isoen
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc
dc.rights© 2011 IEEE
dc.source.urihttps://doi.org/10.1109/tac.2011.2121370
dc.titleTheory of stochastic dissipative systems
dc.typeJournal article
pubs.publication-statusPublished

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