کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626860 1631795 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some properties of finite-time stable stochastic nonlinear systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some properties of finite-time stable stochastic nonlinear systems
چکیده انگلیسی

In this paper we study some properties of finite-time stable stochastic nonlinear systems. We begin by showing several continuous dependence theorems of solutions on initial values under some conditions on the coefficients of stochastic systems. We then derive some regular properties of its stochastic settling time for a finite-time stable stochastic nonlinear system. We show continuity, positive definiteness and boundedness of the expected stochastic settling time under appropriate conditions. Finally, a Lyapunov function is constructed by making use of the expectation of the stochastic settling time, and the infinitesimal generator of the stochastic system defined on the Lyapunov function is also given, and hence resulting in a converse Lyapunov theorem of finite-time stochastic stability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 259, 15 May 2015, Pages 686–697
نویسندگان
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