一类多变时滞线性系统的指数稳定性
일류다변시체선성계통적지수은정성
Exponential Stability for a Class of Linear Systems with Multiple Time-Varying Delays
  • 万方数据
    南通大学学报：自然科学版 남통대학학보：자연과학판
    Journal of Nantong University (Natural Science Edition)
    2012年 4期 18-22 ,共5页

    汤红吉%裔丹%张科

    탕홍길%예단%장과

    多时滞%指数稳定%时滞相关%线性矩阵不等式 多時滯%指數穩定%時滯相關%線性矩陣不等式
    다시체%지수은정%시체상관%선성구진불등식
    multiple time-varying delay%exponential stability%delay-dependent%linear matrix inequality
    研究了一类多变时滞线性系统的指数稳定性，通过构造适当的Lyapunov泛涵，利用凸组合技术，得出系统多时滞相关的指数稳定的充分条件．并以线性矩阵不等式的形式给出．最后通过数值算例表明该方法的有效性．
    연구료일류다변시체선성계통적지수은정성，통과구조괄당적Lyapunov범함，이용철조합기술，득출계통다시체상관적지수은정적충분조건．병이선성구진불등식적형식급출．최후통과수치산례표명해방법적유효성．
    The problem of exponential stability for a class of linear systems with multiple time varying delays is probed. Sufficient condition is obtained by constructing an appropriate Lyapunov functional combination technique. It is expressed in matrix inequalities. The condition is dependent on Finally, a numerical example is given to illustrate the validity of the new stability criteria and using the multiple convex delays
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