کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
697389 890367 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
چکیده انگلیسی

Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admit a convex Lyapunov function. Both continuous- and discrete-time cases are considered. This fact contributes in focusing the difficulties encountered so far in the theory of stabilization of switched system. In particular the result is in contrast with the case of uncontrolled switching in which it is known that if a system is stable under arbitrary switching then admits a polyhedral norm as a Lyapunov function.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Automatica - Volume 44, Issue 4, April 2008, Pages 1166–1170
نویسندگان
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