Stochastic stability and control of coupled Duffing-van der Pol systems
Li Wei, Xu Wei, Zhao Jun-Feng, Jin Yan-Fei
西北工业大学应用数学系，西安 710072
Abstract By using the stochastic averaging method of quasi-Hamilton system and stochastic stbilization strategy, the stochastic stability and stabilization control of a coupled Duffing-van der Pol system under Gaussian white noise excitation with in semi-infinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.
Key words ：
stochastic averaging method
quasi-Hamilton system
Lyapunov exponent
stochastic optimal control
Received: 2004-11-30
Published: 2005-12-20
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2005, Vol. 54 
