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关于非线性离散随机系统的稳定性

Stability of Nonlinear Discrete-Time Stochastic Systems
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摘要 通过极限方程理论,利用极限解的性质,给出了非线性时变离散时间随机系统上的一致全局渐近均方稳定的性质,它是在弱零状态检测和有界输出函数的假设条件基础上推出的. This paper using the theory of limit equation and limiting function properties,presents characterization of uniform global asymptotic mean square stable for nonlinear and discrete-time stochastic systems. It is based in weakly zero-state detectable(WZSD)and a bounded output condition(-H1).
出处 《河南科学》 2010年第2期147-150,共4页 Henan Science
关键词 一致全局渐近均方稳定 弱零状态检测 极限函数 uniform asymptotic mean square stable weakly zero-state detectable(WZSD) limiting function
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参考文献5

  • 1Artstin Z. Uniform asymptotic stability via the limiting equations[J]. Journal of Differential Equations, 1978,27: 172-189.
  • 2Shaikhet L E. Construction of Lyapunov functionals for stochastic difference equations with continuous time[J]. Mathematics and Computers in Simulation, 2006, 66: 509-521.
  • 3Lee T C,Jiang Z P. On uniform global asymptotic stability of nonlinear discrete-time systems with applications[J]. IEEE Transactions on Automatic Control, 2006, 5 (10): 1644-1648.
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  • 5KhalilHK.非线性系统[M].北京:电子工业出版社,2005.

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