Stability of Nonlinear Stochastic Distributed Parameter Systems and Its Applications
|dc.contributor.author||Do, Khac Duc|
|dc.identifier.citation||Do, K.D. 2016. Stability of Nonlinear Stochastic Distributed Parameter Systems and Its Applications. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 138 (10): 101010.|
This paper derives several well-posedness (existence and uniqueness) and stability results for nonlinear stochastic distributed parameter systems (SDPSs) governed by nonlinear partial differential equations (PDEs) subject to both state-dependent and additive stochastic disturbances. These systems do not need to satisfy global Lipschitz and linear growth conditions. First, the nonlinear SDPSs are transformed to stochastic evolution systems (SESs), which are governed by stochastic ordinary differential equations (SODEs) in appropriate Hilbert spaces, using functional analysis. Second, Lyapunov sufficient conditions are derived to ensure well-posedness and almost sure (a.s.) asymptotic and practical stability of strong solutions. Third, the above results are applied to study well-posedness and stability of the solutions of two exemplary SDPSs.
|dc.publisher||The American Society of Mechanical Engineers|
|dc.title||Stability of Nonlinear Stochastic Distributed Parameter Systems and Its Applications|
|dcterms.source.title||Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME|
|curtin.department||Department of Mechanical Engineering|
|curtin.accessStatus||Fulltext not available|
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