耦合Duffing-van der Pol系统的随机稳定性及控制

Stochastic stability and control of coupled Duffing-van der Pol systems

应用拟Hamilton系统的随机平均法和随机稳定化策略,研究了高斯白噪声激励下耦合Duffing-van der Pol系统的随机稳定性及其在半无限长时间内的稳定性控制问题.结果表明,适当地控制参数可有效实现随机稳定化.

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 within semiinfinite time interval are investigated. The results show that, with suitable controlled parameters, effective stochastic stabilization can be realized.