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1.
《Mathematical Methods in the Applied Sciences》2018,41(4):1554-1564
This paper studies the output tracking problem of Boolean control networks (BCNs) with impulsive effects via the algebraic state‐space representation approach. The dynamics of BCNs with impulsive effects is converted to an algebraic form. Based on the algebraic form, some necessary and sufficient conditions are presented for the feedback output tracking control of BCNs with impulsive effects. These conditions contain constant reference signal case and time‐varying reference signal case. The study of an illustrative example shows that the obtained new results are effective. 相似文献
2.
Jong Yeoul Park Sun Hye Park Yong Han Kang 《Mathematical Methods in the Applied Sciences》2010,33(3):249-262
In this paper, we shall prove the controllability of second‐order impulsive neutral functional differential inclusions with infinite delay in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families and a fixed point theorem for multi‐valued mappings. As an example, we also consider an second‐order impulsive neutral functional differential equation with infinite delay. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
3.
Controllability of impulsive neutral functional differential inclusions with infinite delay 总被引:3,自引:0,他引:3
Bing Liu 《Nonlinear Analysis: Theory, Methods & Applications》2005,60(8):1533-1552
The paper is concerned with the controllability of the first-order impulsive neutral functional differential inclusions with infinite delay in a Banach space. Sufficient conditions for controllability are obtained by using a fixed point theorem for condensing maps due to Martelli. As an application, we also consider an impulsive neutral partial functional differential equation. 相似文献
4.
Many practical systems in physical and biological sciences have impulsive dynamical behaviors during the evolution process that can be modeled by impulsive differential equations. This article studies the approximate controllability of impulsive semilinear stochastic system with delay in state in Hilbert spaces. Assuming the conditions for the approximate controllability of the corresponding deterministic linear system, we obtain the sufficient conditions for the approximate controllability of the impulsive semilinear stochastic system with delay in state. The results are obtained by using Banach fixed point theorem. Finally, two examples are given to illustrate the developed theory. 相似文献
5.
This paper is concerned with the controllability of a kind of nonlinear stochastic impulsive functional systems. Sufficient conditions for the complete controllability of the nonlinear stochastic impulsive functional systems are obtained by using Schauder fixed-point theorem. A numerical example is given to illustrate the effectiveness of the theoretical results. 相似文献
6.
7.
This paper is concerned with the controllability and observability for a class of piecewise linear time-varying impulsive systems. Several sufficient and necessary conditions for state controllability and observability of such systems are established. Meanwhile, corresponding criteria for time-invariant impulsive systems are also obtained and the criteria are compared with the existing results. 相似文献
8.
This paper studies the controllability and observability for a class of fractionalorder impulsive systems.First,the basic acknowledgement of fractional-order systems is presented.Then the solution of the fractional-order impulsive systems is given.Finally,necessary and sufficient criteria for controllability and observability are obtained. 相似文献
9.
This paper deals with the controllability of a class of impulsive neutral stochastic functional differential inclusions with infinite delay in an abstract space. Sufficient conditions for the controllability are derived with the help of the fixed point theorem for discontinuous multi-valued operators due to Dhage. An example is provided to illustrate the obtained theory. 相似文献
10.
Existence and Approximate Controllability of Solutions for an Impulsive Evolution Equation with Nonlocal Conditions in Banach Space
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Lixin Sheng Weimin Hu You-Hui Su Yongzhen Yun 《Journal of Nonlinear Modeling and Analysis》2024,6(1):194-209
In this article, we study the existence of mild solutions and approximate controllability for non-autonomous impulsive evolution equations with nonlocal conditions in Banach space. The existence of mild solutions and some conditions for approximate controllability of these non-autonomous impulsive evolution equations are given by using the Krasnoselskii''s fixed point theorem, the theory of evolution family and the resolvent operator. In particular,the impulsive functions are supposed to be continuous and the nonlocal item is divided into Lipschitz continuous and completely bounded. An example is given as an application of the results. 相似文献
11.
Zhongli You JinRong Wang Donal O'Regan Yong Zhou 《Mathematical Methods in the Applied Sciences》2019,42(3):954-968
This paper investigates the relative controllability of delay differential systems with linear impulses and linear parts defined by permutable matrices. We use the impulsive delay Grammian matrix to discuss the relatively controllability of impulsive linear delay controlled systems and we use the Krasnoselskii's fixed point theorem to discuss the relatively controllability of impulsive semilinear delay controlled systems. Finally, two examples are presented to illustrate our theoretical results. 相似文献
12.
Since the classical example of complex system is the quantum system which is one of the foci of ongoing research, in this paper, the issue of controllability and observability for a class of time-varying impulsive systems defined in complex fields, to be brief, complex time-varying impulsive systems, is addressed. Several sufficient and necessary conditions for state controllability and observability of such systems are established. Meanwhile, corresponding criteria for complex linear time-invariant impulsive systems are also obtained. 相似文献
13.
《数学物理学报(B辑英文版)》2020,(2)
In this article, we study the approximate controllability results for an integroquasilinear evolution equation with random impulsive moments under sufficient conditions.The results are obtained by the theory of C_0 semigroup of bounded linear operators on evolution equations and using trajectory reachable sets. Finally, we generalize the results too with and without fixed type impulsive moments. 相似文献
14.
In this paper, the issue of controllability for linear time-varying systems with multiple time delays in the control and impulsive effects is addressed. The solution of such systems based on the variation of parameters is derived. Several sufficient and necessary algebraic conditions for two kinds of controllability, i.e., controllability to the origin and controllability, are derived. The relation among these conditions are established. A numerical example is provided to illustrate the effectiveness of the proposed methods. 相似文献
15.
Approximate ontrollability of second order impulsive functional differential system with infinite delay in Banach spaces
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This paper studies the approximate
controllability of second order impulsive functional differential
system with infinite delay in Banach spaces. Sufficient conditions
are formulated and proved for the approximate controllability of
such system under the assumption that the associated linear part
of system is approximately controllable. The results are obtained
by using strongly continuous cosine families of operators and the
contraction mapping principle. An example is given to illustrate the obtained theory 相似文献
16.
首先讨论了一类线性随机脉冲控制系统的精确能控性质,给出了该类控制系统的脉冲精确能控的等价的代数判据.然后提出了一个确定性的二维线性脉冲控制系统的时间-脉冲强度最优控制问题;利用动态规划原理,给出了脉冲最优控制的反馈形式和值函数的显式表达式;说明了值函数在整个平面上是连续的,在左右两个半平面的内部还是连续可微的. 相似文献
17.
Zuomao Yan 《Numerical Functional Analysis & Optimization》2016,37(12):1590-1639
In this article, the approximate controllability of fractional impulsive partial neutral stochastic differential inclusions with state-dependent delay and fractional sectorial operators in Hilbert spaces is studied. By using the stochastic analysis, the fractional sectorial operators and a fixed point theorem for multi-valued maps combined with approximation techniques, we discuss a new set of su?cient conditions for the approximate controllability of the systems under the mixed Lipschitz and Carathéodory conditions. An example is provided to illustrate the obtained theory. 相似文献
18.
In this paper, cone-valued Lyapunov functions are employed to study the impulsive control system with variable times. The stability criteria on the non-zero solution of the impulsive control system are given by the cone-valued Lyapunov functions and the results of the controllability on the control system are also obtained. 相似文献
19.
Controllability Results for Second Order Neutral Impulsive Integrodifferential Systems 总被引:1,自引:0,他引:1
B. Radhakrishnan K. Balachandran 《Journal of Optimization Theory and Applications》2011,151(3):589-612
In this paper, we address the problem of controllability for abstract second order neutral integrodifferential systems with
impulsive conditions in Banach spaces. Furthermore, we discuss the controllability of second-order neutral integrodifferential
systems in finite dimensional spaces. The results are obtained by using strongly continuous cosine families of operators and
the Banach fixed point theorem. 相似文献
20.
The paper is concerned with the controllability of impulsive functional differential equations with nonlocal conditions. Using the measure of noncompactness and Mönch fixed-point theorem, we establish some sufficient conditions for controllability. Firstly, we require the equicontinuity of evolution system, and next we only suppose that the evolution system is strongly continuous. Since we do not assume that the evolution system generates a compact semigroup, our theorems extend some analogous results of (impulsive) control systems. 相似文献