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REVIEW ARTICLES

Nonlinear Stochastic Dynamics and Control in Hamiltonian Formulation

[+] Author and Article Information
W. Q. Zhu

Department of Mechanics, Zhejiang University, Hangzhou 310027, People’s Republic of Chinawqzhu@yahoo.com

Appl. Mech. Rev. 59(4), 230-248 (Jul 01, 2006) (19 pages) doi:10.1115/1.2193137 History:

The significant advances in nonlinear stochastic dynamics and control in Hamiltonian formulation during the past decade are reviewed. The exact stationary solutions and equivalent nonlinear system method of Gaussian-white -noises excited and dissipated Hamiltonian systems, the stochastic averaging method for quasi Hamiltonian systems, the stochastic stability, stochastic bifurcation, first-passage time and nonlinear stochastic optimal control of quasi Hamiltonian systems are summarized. Possible extension and applications of the theory are pointed out. This review article cites 158 references.

Copyright © 2006 by American Society of Mechanical Engineers
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