کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
696500 890339 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite-time stability and instability of stochastic nonlinear systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Finite-time stability and instability of stochastic nonlinear systems
چکیده انگلیسی

This paper presents a new definition of finite-time stability for stochastic nonlinear systems. This definition involves stability in probability and finite-time attractiveness in probability. An important Lyapunov theorem on finite-time stability for stochastic nonlinear systems is established. A theorem extending the stochastic Lyapunov theorem is also proved. Moreover, an example and a lemma are presented to illustrate the scope of extension. A useful inequality, extended from Bihari’s inequality, is derived, which plays an important role in showing the Lyapunov theorem. Finally, a Lyapunov theorem on finite-time instability is proved, which states that almost surely globally asymptotical stability is not equivalent to finite-time stability for some stochastic systems. Two simulation examples are given to illustrate the theoretical analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 47, Issue 12, December 2011, Pages 2671–2677
نویسندگان
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