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m点边值共振问题的上下解和拓扑度 被引量:1
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作者 马如云 姚庆六 +3 位作者 安天庆 李永祥 李宝麟 叶国菊 《西北师范大学学报(自然科学版)》 CAS 2001年第4期1-6,共6页
研究拓扑度与二阶m点边值共振问题u″(t) =f(t,u(t) ,u′(t) ) , t∈ (0 ,1)u′(0 ) =0 , u(1) =∑m-1i=1aiu(ξi)的上下解之间的关系 .其中f:[0 ,1]×R2 R连续 ,ai 和 ξi∈ [0 ,∞ )为满足 ∑m-1i=1ai =1及 0 =ξ1<ξ2<…... 研究拓扑度与二阶m点边值共振问题u″(t) =f(t,u(t) ,u′(t) ) , t∈ (0 ,1)u′(0 ) =0 , u(1) =∑m-1i=1aiu(ξi)的上下解之间的关系 .其中f:[0 ,1]×R2 R连续 ,ai 和 ξi∈ [0 ,∞ )为满足 ∑m-1i=1ai =1及 0 =ξ1<ξ2<… <ξm - 1<ξm=1的给定常数 . 展开更多
关键词 多点边值问题 共振 上下解 拓扑度 KNS型条件 齐次线性问题
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Semi-Global Stabilization via Homogeneous Output Feedback for a Class of Nonlinear Time-Delay Systems 被引量:1
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作者 WANG Pan CHAI Lin FEI Shumin 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第6期1538-1552,共15页
The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogene... The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper. 展开更多
关键词 Homogeneous domination approach Lyapunov-Krasovskii functional nonlinear time-delay systems output feedback semi-global.
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