کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
697226 890362 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A degree of flexibility in Lyapunov inequalities for establishing input-to-state stability of interconnected systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
A degree of flexibility in Lyapunov inequalities for establishing input-to-state stability of interconnected systems
چکیده انگلیسی

In this paper, a novel approach to constructing flexible Lyapunov inequalities is developed for establishing Input-to-State Stability (ISS) of interconnection of nonlinear time-varying systems. It aims at a useful tool for using nonlinear small-gain conditions by allowing some flexibility in Lyapunov inequalities each subsystem is to satisfy. In the application of the ISS small-gain “theorem”, achieving a Lyapunov inequality conforming to a nonlinear small-gain “condition” is not a straightforward task. The proposed technique provides us with many Lyapunov inequalities with which a single trade-off condition between subsystems gains can establish the ISS property of the interconnected system. Proofs are based on explicit construction of Lyapunov functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 44, Issue 9, September 2008, Pages 2340–2346
نویسندگان
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