共查询到20条相似文献,搜索用时 15 毫秒
1.
Hao Zhang 《Physics letters. A》2008,372(39):6053-6059
This Letter deals with the problem of stochastic robust stability analysis and control on a class of stochastic hybrid system. The system under study involves Markovian jump, norm-bounded uncertainties, time delay and impulsive effects. Sufficient conditions for the stochastic hybrid system stochastically robustly stable are obtained, we also give some criteria on how to design a memoryless feedback controller and an impulsive controller to stabilize such stochastic hybrid system. 相似文献
2.
Liguang Xu 《Physics letters. A》2009,373(3):328-333
In this Letter, we are concerned with the mean square exponential stability problem of an impulsive control stochastic system with time-varying delay. By employing the formula for the variation of parameters and estimating the Cauchy matrix, several criteria on mean square exponential stability are derived and the exponential convergence rate is estimated. The obtained criteria can be applied to stabilize the unstable continuous stochastic system by utilizing impulsive control. Two examples are also discussed to illustrate the efficiency of the obtained results. 相似文献
3.
Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization 下载免费PDF全文
In this paper,the asymptotical p-moment stability of stochastic impulsive differential equations is studied and a comparison theory to ensure the asymptotical p-moment stability of the trivial solution is established,which is important for studying the impulsive control and synchronization in stochastic systems.As an application of this theory,we study the problem of chaos synchronization in the Chen system excited by parameter white-noise excitation,by using the impulsive method.Numerical simulations verify the feasibility of this method. 相似文献
4.
Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks 下载免费PDF全文
In this paper, the global impulsive exponential synchronization
problem of a class of chaotic delayed neural networks (DNNs) with
stochastic perturbation is studied. Based on the Lyapunov stability
theory, stochastic analysis approach and an efficient impulsive
delay differential inequality, some new exponential synchronization
criteria expressed in the form of the linear matrix inequality (LMI) are
derived. The designed impulsive controller not only can globally
exponentially stabilize the error dynamics in mean square, but also
can control the exponential synchronization rate. Furthermore, to
estimate the stable region of the synchronization error dynamics, a
novel optimization control algorithm is proposed, which can deal
with the minimum problem with two nonlinear terms coexisting in LMIs
effectively. Simulation results finally demonstrate the
effectiveness of the proposed method. 相似文献
5.
Robust lag synchronization between two different chaotic systems via dual-stage impulsive control 下载免费PDF全文
In this paper, an improved impulsive lag synchronization scheme for
different chaotic systems with parametric uncertainties is proposed.
Based on the new definition of synchronization with error bound and
a novel impulsive control scheme (the so-called dual-stage impulsive
control), some new and less conservative sufficient conditions are
established to guarantee that the error dynamics can converge to a
predetermined level, which is more reasonable and rigorous than the
existing results. In particular, some simpler and more convenient
conditions are derived by taking the same impulsive distances and
control gains. Finally, some numerical simulations for the Lorenz system
and the Chen system are given to demonstrate the effectiveness and
feasibility of the proposed method. 相似文献
6.
In this paper, the asymptotical p-moment stabifity of stochastic impulsive differential equations is studied, and a comparison theory to ensure the asymptotieal p-moment stability for trivial solution of this system is established, from which we can find out whether a stochastic impulsive differential system is stable just from a deterministic comparison system. As an application of this theory, we control the chaos of stochastic Chen system using impulsive method, and a stable region is deduced too. Finally, numerical simulations verify the feasibility of our method. 相似文献
7.
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. 相似文献
8.
Impulsive control of stochastic system under the sense of stochastic asymptotical stability 总被引:2,自引:0,他引:2 下载免费PDF全文
This paper studies the stochastic asymptotical stability of stochastic impulsive differential equations,and estab-lishes a comparison theory to ensure the trivial solution’s stochastic asymptotical stability.From the comparison theory,it can find out whether the stochastic impulsive differential system is stable just by studying the stability of a deter-ministic comparison system.As a general application of this theory,it controls the chaos of stochastic L system using impulsive control method,and numerical simulations are employed to verify the feasibility of this method. 相似文献
9.
Huan Luo Yinhe Wang Ruidian Zhan Xuexi Zhang Haoxiang Wen Senquan Yang 《Entropy (Basel, Switzerland)》2021,23(8)
This paper investigates the cluster-delay mean square consensus problem of a class of first-order nonlinear stochastic multi-agent systems with impulse time windows. Specifically, on the one hand, we have applied a discrete control mechanism (i.e., impulsive control) into the system instead of a continuous one, which has the advantages of low control cost, high convergence speed; on the other hand, we considered the existence of impulse time windows when modeling the system, that is, a single impulse appears randomly within a time window rather than an ideal fixed position. In addition, this paper also considers the influence of stochastic disturbances caused by fluctuations in the external environment. Then, based on algebraic graph theory and Lyapunov stability theory, some sufficiency conditions that the system must meet to reach the consensus state are given. Finally, we designed a simulation example to verify the feasibility of the obtained results. 相似文献
10.
A scheme for the impulsive control of nonlinear systems with
time-varying delays is investigated in this paper. Based on the
Lyapunov-like stability theorem for impulsive functional
differential equations (FDEs), some sufficient conditions are
presented to guarantee the uniform asymptotic stability of
impulsively controlled nonlinear systems with time-varying delays.
These conditions are more effective and less conservative than those
obtained. Finally, two numerical examples are provided to
demonstrate the effectiveness of the proposed method. 相似文献
11.
The stability of stochastic systems under Poisson white noise excitations which based on the quantum theory is investigated in this paper. In general, the exact solution of the most of the stochastic systems with jumps is not easy to get. So it is very necessary to investigate the numerical solution of equations. On the one hand, exponential Euler method is applied to study stochastic delay differential equations, we can find the sufficient conditions for keeping mean square stability by investigating numerical method of systems. Through the comparison, we get the step-size of this method which is longer than the Euler-Maruyama method. On the other hand, mean square exponential stability of exponential Euler method for semi-linear stochastic delay differential equations under Poisson white noise excitations is confirmed. 相似文献
12.
Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks 总被引:1,自引:0,他引:1
Real systems are often subject to both noise perturbations and impulsive effects. In this paper, we study the stability and stabilization of systems with both noise perturbations and impulsive effects. In other words, we generalize the impulsive control theory from the deterministic case to the stochastic case. The method is based on extending the comparison method to the stochastic case. The method presented in this paper is general and easy to apply. Theoretical results on both stability in the pth mean and stability with disturbance attenuation are derived. To show the effectiveness of the basic theory, we apply it to the impulsive control and synchronization of chaotic systems with noise perturbations, and to the stability of impulsive stochastic neural networks. Several numerical examples are also presented to verify the theoretical results. 相似文献
13.
This Letter is concerned with impulsive control of a class of nonlinear time-delay systems. Some uniform stability criteria for the closed-loop time-delay system under delayed impulsive control are derived by using piecewise Lyapunov functions. Then the criteria are applied to impulsive master-slave synchronization of some secure communication systems with transmission delays and sample delays under delayed impulsive control. Two numerical examples are given to illustrate the effectiveness of the derived results. 相似文献
14.
This Letter studies analysis and design of set-stability for impulsive control systems. A new comparison theorem of asymptotic set-stability for impulsive differential system is presented. Based on the new result, we derive some less conservative conditions for asymptotic set-stability of impulsive control systems with impulse at fixed times, and the results are used to design impulsive control laws of nonlinear systems for set-stability. A numerical example is used to verify the theoretical result. 相似文献
15.
The problem of reliable impulsive synchronization for a
class of nonlinear chaotic systems has been investigated in this
paper. Firstly a reliable impulsive controller is designed by using
the impulsive control theory. Then by the uniform asymptotic
stability criteria of systems with impulsive effects, some
sufficient conditions for reliable impulsive synchronization between
the drive system and the response system are obtained. Numerical
simulations are given to show the effectiveness of the proposed
method. 相似文献
16.
In this paper, the lag synchronization of chaotic systems with time-delayed linear terms via impulsive control is investigated. Based on the stability theory of impulsive delayed differential equations, some sufficient conditions are obtained guaranteeing the synchronized behaviours between two delayed chaotic systems. Numerical simulations on time-delayed Lorenz and hyperchaotic Chen systems are also carried out to show the effectiveness of the proposed scheme. Note that under the scheme the chaotic system is controlled only at discrete time instants, and so it reduces the control cost in real applications. 相似文献
17.
Cooperative impulsive formation control for networked uncertain Euler–Lagrange systems with communication delays 下载免费PDF全文
This paper investigates the cooperative formation problem via impulsive control for a class of networked Euler–Lagrange systems. To reduce the energy consumption and communication frequency, the impulsive control method and cooperative formation control approach are combined. With the consideration of system uncertainties and communication delays among agents, neural networks-based adaptive technique is used for the controller design. Firstly, under the constraint that each agent interacts with its neighbors only at some sampling moments, an adaptive neural-networks impulsive formation control algorithm is proposed for the networked uncertain Euler–Lagrange systems without communication delays. Using Lyapunov stability theory and Laplacian potential function in the graph theory, we conclude that the formation can be achieved by properly choosing the constant control gains. Further, when considering communication delays,a modified impulsive formation control algorithm is proposed, in which the extended Halanay differential inequality is used to analyze the stability of the impulsive delayed dynamical systems. Finally, numerical examples and performance comparisons with continuous algorithm are provided to illustrate the effectiveness of the proposed methods. 相似文献
18.
Modified impulsive synchronization of fractional order hyperchaotic systems 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper, a modified impulsive control scheme is proposed to realize the complete synchronization of fractional order hyperchaotic systems. By constructing a suitable response system, an integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and the impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of the synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the fixed impulsive distances and control gains. Compared with the existing results, the main results in this paper are practical and rigorous. Simulation results show the effectiveness and the feasibility of the proposed impulsive control method. 相似文献
19.
In the present paper the authors establish new conditions for the uniform stability and the uniform asymptotic stability of equilibria of systems with impulsive effects described by systems of nonlinear, time-varying ordinary differential equations. For the case when the corresponding systems without impulsive effects admit unstable properties, the above results are used to establish conditions under which the uniform stability even uniform asymptotic stability of equilibria of systems with impulsive effects can be caused by impulsive perturbations .
1991 Mathematics Subject Classification. 34D 20, 34K 20. 相似文献
20.
The problems of control and synchronization of a class of chaotic systems with time delay via the impulsive control approach are investigated. Based on the Lyapunov-like stability theory for impulsive functional differential equations, several sufficient conditions are derived to guarantee chaos control and synchronization. Furthermore, we address the chaos quasisynchronization in the presence of single-parameter mismatch. Several illustrated examples are also given to show the effectiveness of the proposed methods. 相似文献