数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
18期
186-189
,共4页
指数稳定%周期线性切换系统%时变系统%Floquet定理
指數穩定%週期線性切換繫統%時變繫統%Floquet定理
지수은정%주기선성절환계통%시변계통%Floquet정리
exponential stability%periodically switched linear systems%time-varying systems%Floquet theory
讨论一类包含一组线性时变子系统和一个周期切换信号的切换系统的稳定性.在系统满足一定条件的情况下,利用Floquet定理,给出了周期线性时变切换系统指数稳定的充分必要条件.
討論一類包含一組線性時變子繫統和一箇週期切換信號的切換繫統的穩定性.在繫統滿足一定條件的情況下,利用Floquet定理,給齣瞭週期線性時變切換繫統指數穩定的充分必要條件.
토론일류포함일조선성시변자계통화일개주기절환신호적절환계통적은정성.재계통만족일정조건적정황하,이용Floquet정리,급출료주기선성시변절환계통지수은정적충분필요조건.
This paper deals with the stability of a class of periodically swithed linear time-varying systems that consists of a set of linear time-varying subsystems and a periodic switching signal. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability if the system satifies certain conditions.
