河南科学
河南科學
하남과학
HENAN SCIENCE
2013年
1期
10-16
,共7页
广义系统%区间时变时滞%时滞相关%稳定性%线性矩阵不等式
廣義繫統%區間時變時滯%時滯相關%穩定性%線性矩陣不等式
엄의계통%구간시변시체%시체상관%은정성%선성구진불등식
descriptor system%interval time-varying delay%delay-dependent%stability%linear matrix inequality (LMI)
研究了区间时变时滞广义系统的稳定性问题.通过构造新的Lyapunov泛函,使用时滞分割和自由权矩阵方法,以严格线性矩阵不等式形式给出了使得系统正则、无脉冲且稳定的时滞相关型稳定性新判据.数值实例表明了结果的有效性和较小保守性.
研究瞭區間時變時滯廣義繫統的穩定性問題.通過構造新的Lyapunov汎函,使用時滯分割和自由權矩陣方法,以嚴格線性矩陣不等式形式給齣瞭使得繫統正則、無脈遲且穩定的時滯相關型穩定性新判據.數值實例錶明瞭結果的有效性和較小保守性.
연구료구간시변시체엄의계통적은정성문제.통과구조신적Lyapunov범함,사용시체분할화자유권구진방법,이엄격선성구진불등식형식급출료사득계통정칙、무맥충차은정적시체상관형은정성신판거.수치실례표명료결과적유효성화교소보수성.
@@@@The stability problem is investigated for descriptor systems with interval time-varying delay. Based on a new constructed Lyapunov functional,by using delay decomposition and free-weighting matrix approach,a new delay-dependent stability criterion for the descriptor system to be regular,impulse free and stable is proposed in terms of strict linear matrix inequalities. Numerical examples demonstrate that the proposed methods are effective and less conservative.
