收藏本站
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

Stabilization with Arbitrary Convergence Rate for the Schr?dinger Equation Subjected to an Input Time Delay

LI Yanfang  CHEN Hao  XIE Yaru  
【摘要】:The stabilization problem for the Schr?dinger equation with an input time delay is considered from the view of system equivalence. First, a linear transform from the original system into an exponentially stable system with arbitrary decay rate, also called "target system", is introduced. The linear transform is constructed via a kind of Volterra-type integration with singular kernels functions.As a result, a feedback control law for the original system is obtained. Secondly, a linear transform from the target system into the original closed-loop system is derived. Finally, the exponential stability with arbitrary decay rate of the closed-loop system is obtained through the established equivalence between the original closed-loop system and the target one. The authors conclude this work with some numerical simulations giving support to the results obtained in this paper.

知网文化
【相似文献】
中国期刊全文数据库 前18条
1 ;Robust exponential stabilization of nonholonomic wheeled mobile robots with unknown visual parameters[J];Journal of Control Theory and Applications;2011年02期
2 ;Delay-dependent robust exponential stabilization for uncertain systems with interval time-varying delays[J];Journal of Control Theory and Applications;2009年03期
3 LIU Bin;HILL David John;ZHANG Changfan;SUN Zhijie;;Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays[J];Journal of Systems Science & Complexity;2018年01期
4 Nam PHAN T.;Phat VU N.;;Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems[J];Journal of Control Theory and Applications;2008年02期
5 罗毅平;夏文华;刘国荣;邓飞其;;时滞分布参数控制系统指数镇定的LMI方法(英文)[J];自动化学报;2009年03期
6 Mohamed OUZAHRA;Hamid BOURRAY;Asmae KAMAL;Rachid El AYADI;;Weak and strong stabilization of linear systems[J];Journal of Control Theory and Applications;2009年04期
7 ;On boundary feedback stabilization of Timoshenko beam with rotor inertia at the tip[J];Journal of Control Theory and Applications;2004年03期
8 ;Robust stabilization of uncertain nonholonomic systems with strong nonlinear drifts[J];Journal of Control Theory and Applications;2008年04期
9 吴祥;崔宝同;;New approach to robust stabilization for a class of singular systems with time-delays[J];中南大学学报(自然科学版);2009年S1期
10 杨金祥,钟守铭,鄢克雨;Exponential Stability for Delayed Cellular Neural Networks[J];Journal of Electronic Science and Technology of China;2005年03期
11 ;Stochastic stabilization analysis of networked control systems[J];Journal of Systems Engineering and Electronics;2007年01期
12 ;Delay-dependent robust stabilization for a class ofneutral systems with nonlinear perturbations[J];Journal of Control Theory and Applications;2007年04期
13 ;Simultaneous quadratic performance stabilization for linear time-delay systems[J];Journal of Systems Engineering and Electronics;2006年04期
14 ;Robust stabilization for nonholonomic systems with state delay and nonlinear drifts[J];Journal of Control Theory and Applications;2011年02期
15 Tengfei LIU;Zhong-Ping JIANG;;Further results on quantized stabilization of nonlinear cascaded systems with dynamic uncertainties[J];Science China(Information Sciences);2016年07期
16 ;Robust output-feedback stabilization of a class of nonlinear systems with the nonlinearities of varied form[J];Journal of Systems Engineering and Electronics;2006年03期
17 ;Robust D stabilization of singular systems with polytopic uncertainties[J];Journal of Control Theory and Applications;2010年04期
18 LIU Zhen Wei;ZHANG HuaGuang;SUN QiuYe;;Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method[J];Science China(Information Sciences);2015年01期
中国重要会议论文全文数据库 前20条
1 ;Smooth Exponential Stabilization of Nonholonomic Systems via time-varying feedback[A];第十九届中国控制会议论文集(一)[C];2000年
2 ;The Stabilization of FitzHugh-Nagumo Systems with One Feedback Controller[A];第二十七届中国控制会议论文集[C];2008年
3 Boumediène CHENTOUF;Gauthier SALLET;;Boundary Feedback Stabilization of a Hybrid System[A];第十九届中国控制会议论文集(一)[C];2000年
4 ;Impulsive Control and Synchronization for a Class of Chaotic Delayed Systems[A];第二十九届中国控制会议论文集[C];2010年
5 ;Delay-Range-Dependent Robust Output-feedback Stabilization for Markovian Jump Systems with Mode-Dependent Time Delays and Nonliearities[A];第二十九届中国控制会议论文集[C];2010年
6 ;The stabilization of coupled FitzHugh-Nagumo system[A];Proceedings of 2010 Chinese Control and Decision Conference[C];2010年
7 ;Stabilization of a Class of Neutral Stochastic Partial Differential Equations with Parameter Uncertainties[A];第25届中国控制会议论文集(上册)[C];2006年
8 ;Exponential Stabilization for Nonlinear Systems with Delayed Perturbations[A];Proceedings of 2010 Chinese Control and Decision Conference[C];2010年
9 ;Novel Stability Criteria of Nonlinear Systems with Uncertainties and Time-varying Delay[A];第二十九届中国控制会议论文集[C];2010年
10 ;Global Smooth Solutions for the Quasilinear Wave Equation with Boundary Dissipation[A];第25届中国控制会议论文集(中册)[C];2006年
11 吴祥;崔宝同;;New approach to robust stabilization for a class of singular systems with time-delays[A];2009年中国智能自动化会议论文集(第六分册)[中南大学学报(增刊)][C];2009年
12 ;Temperature Control of Reaction-diffusion Process in Ball[A];Proceedings of the 2011 Chinese Control and Decision Conference(CCDC)[C];2011年
13 ;Observer-based stabilization for singular linear systems with mismatched uncertainties[A];第二十一届中国控制会议论文集[C];2002年
14 ;Stabilization of Linear Systems with Distributed Delay and Saturation Nonlinearity[A];中国自动化学会控制理论专业委员会D卷[C];2011年
15 ;A direct and elementary proof of the stabilization for the wave equation with nonlinear internal damping[A];第十九届中国控制会议论文集(一)[C];2000年
16 ;D-stability and D-stabilization of Descriptor Discrete Time-delay Systems with Poytopic Uncertainties[A];第二十九届中国控制会议论文集[C];2010年
17 ;BOUNDARY CONTROL OF TIMOSHENKO BEAM WITH ENDMASS[A];1997年中国控制会议论文集[C];1997年
18 ;Exponential Stabilization of String Equation by Local Viscoelasticity[A];第十九届中国控制会议论文集(一)[C];2000年
19 ;Pseudo-normal form and stabilization of nonlinear systems[A];第二十一届中国控制会议论文集[C];2002年
20 Guoliang Wang;Lei Xu;Yadong Chen;;Consensus stabilization of multi-agent system with the existence of faults in some agents[A];第32届中国控制与决策会议论文集(2)[C];2020年
中国博士学位论文全文数据库 前1条
1 Amr Ahmed Roshdy Mahmoud;[D];长春理工大学;2013年
中国知网广告投放
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978