辽宁工程技术大学学报(自然科学版)
遼寧工程技術大學學報(自然科學版)
료녕공정기술대학학보(자연과학판)
JOURNAL OF LIAONING TECHNICAL UNIVERSITY NATURAL SCIENCE EDITION
2013年
1期
73-76
,共4页
奇异系统%区间时变时滞%稳定性%时滞相关%Lyapunov 泛函%线性矩阵不等式%矩阵等式%凸优化
奇異繫統%區間時變時滯%穩定性%時滯相關%Lyapunov 汎函%線性矩陣不等式%矩陣等式%凸優化
기이계통%구간시변시체%은정성%시체상관%Lyapunov 범함%선성구진불등식%구진등식%철우화
singular systems%interval time-varying delay%stability%delay-dependent%Lyapunov function%linear matrix inequality (LMI)%matrix equality%convex optimization
为解决区间时变时滞奇异系统的稳定性问题,基于 Lyapunov 稳定性理论,通过采用新构造的 Lyapunov泛函和线性矩阵不等式方法,以线性矩阵不等式形式给出了使得系统满足正则、无脉冲且稳定的时滞相关型准则的改进结果.研究结果表明:所给准则可有效判定区间时变时滞奇异系统的稳定性,它比已有一些结果包含更少的矩阵变量,且具有较小的保守性,同时通过数值实例进行了验证.
為解決區間時變時滯奇異繫統的穩定性問題,基于 Lyapunov 穩定性理論,通過採用新構造的 Lyapunov汎函和線性矩陣不等式方法,以線性矩陣不等式形式給齣瞭使得繫統滿足正則、無脈遲且穩定的時滯相關型準則的改進結果.研究結果錶明:所給準則可有效判定區間時變時滯奇異繫統的穩定性,它比已有一些結果包含更少的矩陣變量,且具有較小的保守性,同時通過數值實例進行瞭驗證.
위해결구간시변시체기이계통적은정성문제,기우 Lyapunov 은정성이론,통과채용신구조적 Lyapunov범함화선성구진불등식방법,이선성구진불등식형식급출료사득계통만족정칙、무맥충차은정적시체상관형준칙적개진결과.연구결과표명:소급준칙가유효판정구간시변시체기이계통적은정성,타비이유일사결과포함경소적구진변량,차구유교소적보수성,동시통과수치실례진행료험증.
@@@@In order to overcome the problem of stability for singular systems with interval time-varying delay, based on Lyapunov stability theory, using a new constructed Lyapunov function and linear matrix inequality (LMI) approach, a new improved delay-dependent stability criterion is presented to ensure the systems to be regular, impulse free and stable in terms of LMIs. The result shows that it can be used to effectively judge the stability of singular systems with interval time-varying delay. Moreover, it has fewer matrix variables, and less conservatism than some existing ones.
