Time-varying state-feedback stabilisation of stochastic feedforward nonlinear systems with unknown growth rate

作者: Ticao Jiao , Wei Xing Zheng , Shengyuan Xu

DOI: 10.1080/00207179.2016.1226519

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摘要: We consider the time-varying state-feedback stabilisation problem for a class of stochastic feedforward nonlinear systems with unknown growth rate in this paper. A new LaSalle-type theorem for stochastic time-varying systems is firstly established by using the generalized weakly positive definite function. As an application, to deal with serious uncertainties in the unknown growth rate, a time-varying approach, rather than an adaptive one, is adopted to design the scheme of a state-feedback controller for stochastic feedforward systems. Based …

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