期刊文献+
共找到19篇文章
< 1 >
每页显示 20 50 100
Study on Robust Uniform Asymptotical Stability for Uncertain Linear Impulsive Delay Systems 被引量:2
1
作者 刘斌 刘新芝 廖晓昕 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2003年第3期63-66,共4页
In the area of control theory the time-delay systems have been investigated. It's well known that delays often result in instability, therefore, stability analysis of time-delay systems is an important subject in ... In the area of control theory the time-delay systems have been investigated. It's well known that delays often result in instability, therefore, stability analysis of time-delay systems is an important subject in control theory. As a result, many criteria for testing the stability of linear time-delay systems have been proposed. Significant progress has been made in the theory of impulsive systems and impulsive delay systems in recent years. However, the corresponding theory for uncertain impulsive systems and uncertain impulsive delay systems has not been fully developed. In this paper, robust stability criteria are established for uncertain linear delay impulsive systems by using Lyapunov function, Razumikhin techniques and the results obtained. Some examples are given to illustrate our theory. 展开更多
关键词 impulsive delay system Uncertain linear delay impulsive system Robust uniform asymptotical stability Lyapunov function Razumikhin techniques.
下载PDF
Existence of Solutions for Semilinear Impulsive Delay Differential Equations with Nonlocal Conditions
2
作者 李美丽 刘海强 《Journal of Donghua University(English Edition)》 EI CAS 2010年第5期614-617,共4页
In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization an... In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization and continuation of the recent results on this issue.In the end,an example is given to show the application of the results. 展开更多
关键词 impulsive delay differential equations nonlocal conditions mild solution Schaefer fixed-point theorem
下载PDF
Existence for Second Order Semilinear Impulsive Delay Integrodifferential Equations with Nonlocal Conditions
3
作者 李美丽 宋雯 贾军国 《Journal of Donghua University(English Edition)》 EI CAS 2011年第5期488-490,共3页
A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness con... A fixed point analysis approach is used to investigate the existence of mild solutions of second order semilinear impulsive delay integrodifferential equations with nonlocal conditions.Without imposing compactness condition on the cosine family of operators,we give some sufficient conditions for the existence of mild solutions of such system.Finally,an example is presented to illustrate the utility of the proposed result.The results improve some recent results. 展开更多
关键词 impulsive delay integrodifferential equations nonlocal conditions mild solution
下载PDF
Analysis and Design of Time-Delay Impulsive Systems Subject to Actuator Saturation
4
作者 Chenhong Zhu Xiuping Han Xiaodi Li 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2024年第1期196-204,共9页
This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is s... This paper investigates the exponential stability and performance analysis of nonlinear time-delay impulsive systems subject to actuator saturation. When continuous dynamics is unstable, under some conditions, it is shown that the system can be stabilized by a class of saturated delayed-impulses regardless of the length of input delays. Conversely, when the system is originally stable, it is shown that under some conditions, the system is robust with respect to sufficient small delayed-impulses. Moreover, the design problem of the controller with the goal of obtaining a maximized estimate of the domain of attraction is formulated via a convex optimization problem. Three examples are provided to demonstrate the validity of the main results. 展开更多
关键词 delayed impulses impulsive control impulsive disturbance nonlinear systems SATURATION
下载PDF
Exponential Estimation of the Lyapunov Function for Delay-Coupled Neural Networks with Integral Terms
5
作者 Nan Li Liang Wang 《Journal of Applied Mathematics and Physics》 2024年第3期870-876,共7页
This paper investigates a class of coupled neural networks with delays and ad-dresses the exponential synchronization problem using delay-compensatory impulsive control. Razumikhin-type inequalities involving some des... This paper investigates a class of coupled neural networks with delays and ad-dresses the exponential synchronization problem using delay-compensatory impulsive control. Razumikhin-type inequalities involving some destabilizing delayed impulse gains are proposed, along with a new delay-compensatory concept demonstrating two crucial roles in system stability. Based on the constructed inequalities and the introduced delay-compensatory concept, sufficient stability and synchronization criteria for globally exponential synchronization of coupled neural networks are provided. To address the exponential synchronization problem in coupled neural networks. Utilizing delay-compensatory impulsive control and Razumikhin-type inequalities. The Lyapunov function for coupled neural networks with delays and integral terms exhibits exponential estimates. 展开更多
关键词 delayed impulsive Control Hybrid System Synchronization delay-Compensatory
下载PDF
Impulsive control of nonlinear systems with time-varying delays 被引量:2
6
作者 于永斌 鲍景富 +3 位作者 张洪斌 钟其水 廖晓峰 虞厥邦 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第7期2377-2387,共11页
A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov f... A whole impulsive control scheme of nonlinear systems with time-varying delays, which is an extension for impulsive control of nonlinear systems without time delay, is presented in this paper. Utilizing the Lyapunov functions and the impulsive-type comparison principles, we establish a series of different conditions under which impulsively controlled nonlinear systems with time-varying delays are asymptotically stable. Then we estimate upper bounds of impulse interval and time-varying delays for asymptotically stable control. Finally a numerical example is given to illustrate the effectiveness of the method. 展开更多
关键词 impulsive control time-varying delays impulsive delay systems Lyapunov functions A
下载PDF
Exponential stability of Takagi-Sugeno fuzzy systems with impulsive effects and small delays
7
作者 于永斌 钟其水 +1 位作者 廖晓峰 虞厥邦 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第3期842-846,共5页
This paper deals with the exponential stability of impulsive Takagi-Sugeno fuzzy systems with delay. Impulsive control and delayed fuzzy control are applied to the system, and the criterion on exponential stability ex... This paper deals with the exponential stability of impulsive Takagi-Sugeno fuzzy systems with delay. Impulsive control and delayed fuzzy control are applied to the system, and the criterion on exponential stability expressed in terms of linear matrix inequalities (LMIs) is presented. 展开更多
关键词 exponential stability Takagi-Sugeno fuzzy model impulsive delay systems linear matrix inequality
下载PDF
The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
8
作者 Kai En LIU1,2, Guo Wei YANG3 1. School of Mathematics, Qingdao University, Shandong 266071, P. R. China 2. Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, P. R. China 3. School of Automation Engineering, Qingdao University, Shandong 266071, P. R. China 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期67-77,共11页
By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improv... By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems. 展开更多
关键词 impulsive delay differential system STABILITY variational Lyapunov method Razumikhin technique two measures.
下载PDF
GLOBAL EXPONENTIAL STABILITY FOR AN IMPULSIVE DELAYED INTEGRO-DIFFERENTIAL EQUATION
9
作者 Peijun Ju Tao Chen 《Annals of Differential Equations》 2013年第2期146-150,共5页
In this paper, the stability of an impulsive integro-differential equation with finite and infinite delays is investigated. By applying the Lyapunov-Razumikin method, sufficient condition for global exponential stabil... In this paper, the stability of an impulsive integro-differential equation with finite and infinite delays is investigated. By applying the Lyapunov-Razumikin method, sufficient condition for global exponential stability of such equation is obtained. 展开更多
关键词 exponential stability impulsive delayed system integro-differential equation Lyapunov-Razumikin method
原文传递
GENERIC OSCILLATIONS OF FIRST ORDER IMPULSIVE DELAY DIFFERENTIAL EQUATIONS
10
作者 段永瑞 田澎 燕居让 《Annals of Differential Equations》 2003年第1期24-30,共7页
In this paper, we will study generic oscillation and generic nonoscillation of first order impulsive delay differential equations. A necessary and sufficient condition and some sufficient conditions are obtained for b... In this paper, we will study generic oscillation and generic nonoscillation of first order impulsive delay differential equations. A necessary and sufficient condition and some sufficient conditions are obtained for both phenomena based on the root of characteristic equation. 展开更多
关键词 generic oscillation impulsive delay differential equation
原文传递
Rothe’s Fixed Point Theorem and the Controllability of the Benjamin-Bona-Mahony Equation with Impulses and Delay
11
作者 Hugo Leiva Jose L. Sanchez 《Applied Mathematics》 2016年第15期1748-1764,共18页
For many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their controllability. So we conjecture that under certain conditions the abrupt changes and delays as perturbation... For many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their controllability. So we conjecture that under certain conditions the abrupt changes and delays as perturbations of a system do not destroy its controllability. There are many practical examples of impulsive control systems with delays, such as a chemical reactor system, a financial system with two state variables, the amount of money in a market and the savings rate of a central bank, and the growth of a population diffusing throughout its habitat modeled by a reaction-diffusion equation. In this paper we apply the Rothe’s Fixed Point Theorem to prove the interior approximate controllability of the following Benjamin Bona-Mohany(BBM) type equation with impulses and delay where and are constants, Ω is a domain in , ω is an open non-empty subset of Ω , denotes the characteristic function of the set ω , the distributed control , are continuous functions and the nonlinear functions are smooth enough functions satisfying some additional conditions. 展开更多
关键词 Interior Approximate Controllability Benjamin Bona-Mohany Equation with Impulses and delay Strongly Continuous Semigroup Rothe’s Fixed Point Theorem
下载PDF
Bifurcations and chaos control in discrete small-world networks 被引量:2
12
作者 Li Ning Sun Hai-Yi Zhang Qin Ling 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第1期127-132,共6页
An impulsive delayed feedback control strategy to control period-doubling bifurcations and chaos is proposed. The control method is then applied to a discrete small-world network model. Qualitative analyses and simula... An impulsive delayed feedback control strategy to control period-doubling bifurcations and chaos is proposed. The control method is then applied to a discrete small-world network model. Qualitative analyses and simulations show that under a generic condition, the bifurcations and the chaos can be delayed or eliminated completely. In addition, the periodic orbits embedded in the chaotic attractor can be stabilized. 展开更多
关键词 BIFURCATION CHAOS small-world networks impulsive delayed feedback control
下载PDF
EXPONENTIAL STABILITY OF LINEAR TIME-VARYING IMPULSIVE DIFFERENTIAL SYSTEMS WITHDELAYS
13
作者 关治洪 刘永清 《Annals of Differential Equations》 1996年第1期51-59,共9页
This article discusses the stability properties of impulsive solution for a class of variable delay and linear time-varying measure differential systems. By means of the techniques of constructing broken line functi... This article discusses the stability properties of impulsive solution for a class of variable delay and linear time-varying measure differential systems. By means of the techniques of constructing broken line function to overcome the difficulties in employing comparison principle and Lyapunov function, some criteria of global exponential asymptotic stability for the impulsive time-delay system are established. An example is given to illustrate the applicability of the obtained results. 展开更多
关键词 distributional deivative impulsive didferential systems with variable delays global exponential asymptotic stability
原文传递
ALMOST PERIODICITY FOR AN IMPULSIVE PURE DELAY LOGISTIC EQUATION
14
作者 Chunhua Feng (College of Mathematical Science,Guangxi Normal University,Guilin 541004,Guangxi) Zhenkun Huang (Science College,Jimei University,Xiamen 361021,Fujian) 《Annals of Differential Equations》 2009年第3期316-322,共7页
By employing a fixed point theorem in cones,we investigate the existence of almost periodic solutions to an impulsive pure delay Logistic equation. A set of suffcient conditions for the existence of almost periodic so... By employing a fixed point theorem in cones,we investigate the existence of almost periodic solutions to an impulsive pure delay Logistic equation. A set of suffcient conditions for the existence of almost periodic solutions to the equation are obtained. 展开更多
关键词 delay impulsive differential equation almost periodic solution EXISTENCE
原文传递
Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching
15
作者 XIAO Ke LI Shuyong 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2023年第4期1560-1582,共23页
The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching.Under the influence of impulsive disturbanc... The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching.Under the influence of impulsive disturbance,the solution for the system is discontinuous.By using the Razumikhin technique and stochastic analysis approaches,as well as combining the idea of mathematical induction and classification discussion,some sufficient conditions for the pth moment exponential stability and almost exponential stability of the systems are obtained.The stability conclusion is full time-delay.The results show that impulse,the point distance of impulse and Markovain switching affect the stability for the system.Finally,two examples are provided to illustrate the effectiveness of the results proposed. 展开更多
关键词 delay exponential stability impulsive Markovian switching neutral Razumikhin technique stochastic functional differential equations
原文传递
Exponential Synchronization of Impulsive Complex Networks with Output Coupling
16
作者 Yue-Hui Zhao Jin-Liang Wang 《International Journal of Automation and computing》 EI CSCD 2013年第4期350-359,共10页
This paper proposes a new impulsive complex delayed dynamical network model with output coupling, which is totally different from some existing network models. Then, by employing impulsive delay differential inequalit... This paper proposes a new impulsive complex delayed dynamical network model with output coupling, which is totally different from some existing network models. Then, by employing impulsive delay differential inequalities, some sufficient conditions are obtained to guarantee the global exponential state synchronization and output synchronization of the impulsive complex delayed dynamical network. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results. 展开更多
关键词 impulsive complex networks output coupling state synchronization output synchronization impulsive delay differential inequalities.
原文传递
POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY 被引量:3
17
作者 Zhang Suping Jiang Wei 《Annals of Differential Equations》 2007年第1期104-112,共9页
In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic ... In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained. 展开更多
关键词 differential equations with impulses and delay positive periodic solution fixed point theorem
原文传递
Capital injections with negative surplus and delays: models and analysis
18
作者 Zhuo JIN George YIN 《Control Theory and Technology》 EI CSCD 2014年第2期163-172,共10页
This work develops a new model to deal with the scenario that some companies can still run business even the surplus falls below zero temporarily. With such a scenario in mind, we allow the surplus process to continue... This work develops a new model to deal with the scenario that some companies can still run business even the surplus falls below zero temporarily. With such a scenario in mind, we allow the surplus process to continue in this negative-surplus period, during which capital injections will be ordered to assist in the stabilization of financial structure, until the financial status becomes severe enough to file bankruptcy. The capital injections will be modeled as impulse controls. By introducing the capital injections with time delays, optimal dividend payment and capital injection policies are considered. Using the dynamic programming approach, the value function obeys a quasi-variational inequality. With delays in capital injections, the company will be exposed to the risk of bankruptcy during the delay period. In addition, the optimal dividend payment and capital injection strategies should balance the expected cost of the possible capital injections and the time value of the delay periods. This gives rise to a stochastic control problem with mixed singular and delayed impulse controls. Under general assumptions, the lower capital injection barrier is determined, where bankruptcy occurs. The closed-form solution to the value function and corresponding optimal policies are obtained. 展开更多
关键词 Stochastic control Capital injection Dividend policy delayed impulse control Singular contro
原文传递
EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO LOTKA-VOLTERRA NETWORK-LIKE FOOD-CHAIN SYSTEM WITH DELAYS AND IMPULSES ON TIME SCALES 被引量:1
19
作者 KAIHONG ZHAO LIANG DING FENGZAO YANG 《International Journal of Biomathematics》 2014年第1期39-68,共30页
In this paper, we have studied a general kind of n-species Lotka-Volterra network- like food-chain system with delays and impulses on time scales. Applying Mawhin's continuation theorem of coincidence degree theory a... In this paper, we have studied a general kind of n-species Lotka-Volterra network- like food-chain system with delays and impulses on time scales. Applying Mawhin's continuation theorem of coincidence degree theory and some skills of inequalities, some sufficient criteria have been established to guarantee the existence of at least 2n periodic solutions to this model. One example is given to illustrate the effectiveness of our results. 展开更多
关键词 Time scales network-like food-chain system coincidence degree multiple periodic solutions time delays and impulses
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部