کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5010626 1462299 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lyapunov and converse Lyapunov theorems for stochastic semistability
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Lyapunov and converse Lyapunov theorems for stochastic semistability
چکیده انگلیسی
This paper develops Lyapunov and converse Lyapunov theorems for stochastic semistable nonlinear dynamical systems. Semistability is the property whereby the solutions of a stochastic dynamical system almost surely converge to (not necessarily isolated) Lyapunov stable in probability equilibrium points determined by the system initial conditions. Specifically, we provide necessary and sufficient Lyapunov conditions for stochastic semistability and show that stochastic semistability implies the existence of a continuous Lyapunov function whose infinitesimal generator decreases along the dynamical system trajectories and is such that the Lyapunov function satisfies inequalities involving the average distance to the set of equilibria.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 97, November 2016, Pages 83-90
نویسندگان
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