کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1713596 1013239 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networks
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Lyapunov formulation of the ISS cyclic-small-gain theorem for hybrid dynamical networks
چکیده انگلیسی

This paper presents a Lyapunov-based cyclic-small-gain theorem for the hybrid dynamical networks composed of input-to-state stable (ISS) subsystems whose motions may be continuous, impulsive or piecewise constant on the time-line. On the one hand, it is shown that hybrid dynamic networks with interconnection gains less than the identity function are ISS by means of Lyapunov functions. Additionally, an ISS-Lyapunov function for the total network is constructed using the ISS-Lyapunov functions of the subsystems. On the other hand, a novel result of this paper shows that a hybrid dynamic network satisfying the cyclic-small-gain condition can be transformed into one with interconnection gains less than the identity. In sharp contrast with several previously known results, the impulses of the subsystems are time triggered and the impulsive times for different subsystems may be different.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Hybrid Systems - Volume 6, Issue 4, November 2012, Pages 988–1001
نویسندگان
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