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首页> 外文期刊>International Journal of Innovative Computing Information and Control >DELAY-DEPENDENT STABILITY FOR VECTOR NONLINEAR STOCHASTIC SYSTEMS WITH MULTIPLE DELAYS
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DELAY-DEPENDENT STABILITY FOR VECTOR NONLINEAR STOCHASTIC SYSTEMS WITH MULTIPLE DELAYS

机译：具有多个时滞的矢量非线性随机系统的时滞相关稳定性

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摘要

Global asymptotic stability conditions for vector nonlinear stochastic sys tems with multiple state delays are obtained based on the convergence theorem for semi martingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. Obtaining the delay-dependent stability conditions for nonlinear stochastic time-delay systems leads to a significant advantage in the nonlinear control theory and practice, since it enables one to address the stabilization problems for nonlinear systems, influenced by stochastic disturbances, whose dynamics is subject to multiple time delays in nonlinear functions, which make the LMI technique inapplicable. The Lyapunov Krasovskii and degenerate functionals techniques are used. The derived stability condi tions are directly expressed in terms of the system coefficients. Nontrivial examples of nonlinear systems satisfying the obtained stability conditions are given.
机译：基于半mar不等式的收敛性定理，获得了具有多个状态时滞的矢量非线性随机系统的全局渐近稳定性条件，而无需假设非线性漂移函数的Lipschitz条件。获得非线性随机时滞系统的依赖于延迟的稳定条件会在非线性控制理论和实践中带来显着优势，因为它使人们能够解决非线性系统的稳定性问题，该非线性系统受随机干扰的影响，其动力学受到非线性函数中存在多个时间延迟，这使得LMI技术不适用。使用了Lyapunov Krasovskii和简并功能技术。导出的稳定性条件直接用系统系数表示。给出了满足所获得稳定性条件的非线性系统的非平凡例子。

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