工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2003年
2期
77-81
,共5页
一般离散Lurie系统%Lyapunov函数%绝对稳定性
一般離散Lurie繫統%Lyapunov函數%絕對穩定性
일반리산Lurie계통%Lyapunov함수%절대은정성
general discrete-time Lurie systems%lyapunov function%absolute stability
考虑了一般离散Lurie非线性系统的绝对稳定性,用含有非线性项积分的Lurie-Postnikov型Lyapunov函数.把含有任意个扇形有界的无记忆时不变非线性项的著名Tsypkin准则推广到最一般离散时间Lurie系统.以前的结果是新准则一个特例.
攷慮瞭一般離散Lurie非線性繫統的絕對穩定性,用含有非線性項積分的Lurie-Postnikov型Lyapunov函數.把含有任意箇扇形有界的無記憶時不變非線性項的著名Tsypkin準則推廣到最一般離散時間Lurie繫統.以前的結果是新準則一箇特例.
고필료일반리산Lurie비선성계통적절대은정성,용함유비선성항적분적Lurie-Postnikov형Lyapunov함수.파함유임의개선형유계적무기억시불변비선성항적저명Tsypkin준칙추엄도최일반리산시간Lurie계통.이전적결과시신준칙일개특례.
The absolute stability of discrete-time nonlinear Lurie systems is considered. By the Lurie-Postnikov Lyapunov function involving the integrals of the non-linearities, The well-known Tsypkin criterion for discrete-time Lurie systems is extended to the most general discrete time Lurie systems containing an arbitrary number of monotonic sector-bounded memory-less time invariant non-linearities. The new criterion contain the previous results as a particular case.