Xueyan Yang’s research while affiliated with Shandong Normal University and other places

In the framework of impulsive control, this article deals with the lag synchronization problem of neural networks involving partially unmeasurable states, where the time delay in impulses is fully addressed. Since the complexity of external environment and uncertainty of networks, which may lead to a result that the information of partial states is unmeasurable, the key problem for lag synchronization control is how to utilize the information of measurable states to design suitable impulsive control. By using linear matrix inequality (LMI) and transition matrix method coupled with dimension expansion technique, some sufficient conditions are derived to guarantee lag synchronization, where the requirement for information of all states is needless. Moreover, our proposed conditions not only allow the existence of unmeasurable states but also reduce the restrictions on the number of measurable states, which shows the generality of our results and wide-application in practice. Finally, two illustrative examples and their numerical simulations are presented to demonstrate the effectiveness of main results.

This paper focuses on the finite-time lag synchronization (FTLS) of uncertain complex networks involving impulsive disturbance effects. By designing two different controllers, some Lyapunov-based conditions are established in terms of linear matrix inequalities to ensure the FTLS of impulsive systems, where the upper bound of the synchronizing times can be estimated via constructing Lyapunov functions. It is interesting to discover that the synchronizing time depends not only on the initial value but also on the impulse sequences, which implies that different impulses will lead to different synchronization times. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed FTLS criterion.

This paper proposes a generalized impulsive Halanay inequality from the impulsive control standpoints, where the impulse action is event-triggered. Namely, the control task is executed when an external event generated by the state-dependent event-triggered mechanism (ETM) is activated, rather than at a fixed time. It is shown that under the proposed event-triggered impulsive control (ETIC) strategy, the solution of the underlying inequality is guaranteed to converge to zero asymptotically. Moreover, the key point is the introduction of monitoring value to ensure a positive minimum inter-execution time, which exactly assists ETIC with reducing the pressure of information transmission. Then, the generalized impulsive Halanay inequality with appropriate ETIC scheme is utilized to the analysis of delayed neural networks (DNNs). In particular, some synchronization and asymptotic stability criteria of DNNs are derived, where the design of impulsive controller is based on ETIC strategy. At last, some numerical examples are provided to illustrate the validity of the obtained results.

This article studies the problem of finite-time stability (FTS) and finite-time contractive stability (FTCS) for nonlinear impulsive systems, where the possibility of time delay in impulses is fully considered. Some sufficient conditions for FTS/FTCS are constructed in the framework of Lyapunov function methods. A relationship between impulsive frequency and the time delay existing in impulses is established to reveal FTS/FTCS performance. As an application, we apply the theoretical results to finite-time state estimation of neural networks, including time-varying neural networks and switched neural networks. Finally, two illustrated examples are given to show the effectiveness and distinctiveness of the proposed delay-dependent impulsive schemes.

This paper studies the exponential stability of nonlinear delay systems by means of event-triggered impulsive control (ETIC) approach, where impulsive instants are determined by a Lyapunov-based event-triggered mechanism (ETM). Based on the ETM, sufficient conditions are presented to exclude Zeno behavior and guarantee the exponential stability in the framework of Lyapunov–Razumikhin method. Different from time-triggered impulsive control in which the triggered time is determined artificially, ETIC is activated only when some well-designed events occur. Moreover, control input is only needed at triggered instants and there is no any control input during two consecutive triggered instants. As an application, the theoretical result is applied to nonlinear delay multi-agent systems. A class of ETIC strategies is designed to achieve consensus of the addressed systems. Finally, two numerical examples are presented to illustrate the effectiveness of the developed approach.

This paper addresses the stability problem for systems with state-dependent state delay (delay which involves the state of the system). Different from the time-dependent delay, the state dependence of the delay makes the value of delay dependent on the state change, which indicates that it is impossible to exactly know a priori how far in the history the state-information is needed. We apply the Lyapunov stability theory to obtain sufficient conditions for exponential stability of the zero equilibrium. Then we apply those results to some specific examples to illustrate the effectiveness of the approach and our general results. A class of stabilizing memoryless controllers for a second-order system with state-dependent state delay is also proposed.

In this paper, we develop the Lyapunov–Razumikhin method to finite-time stability (FTS) and finite-time contractive stability (FTCS) of time-delay systems. Several Lyapunov-based sufficient conditions for establishing these FTS properties are obtained. Then the theoretical results are applied to FTS and FTCS for a class of linear time-varying (LTV) time-delay system. The efficiency of the proposed criteria is illustrated by three numerical examples, where a stabilizing memoryless controller for FTCS of a second-order LTV system with time delay is proposed.

In this paper, the problem of impulsive control for persistence of N-species cooperative models with time-varying delays are studied. A method on impulsive control is introduced to delayed cooperative models and some sufficient conditions for the persistence of the addressed models are derived, which are easy to check in real problems. The results show that proper impulsive control strategy may contribute to the persistence of cooperative populations and maintain the balance of an ecosystem. Conversely, the undesired impulsive control such as impulsive harvesting too frequently or impulsive harvesting too drastically may destroy the persistence of populations and leads to the extinction of some species. In addition, some discussions and comparisons with the recent works in the literature are given. Finally, the proposed method is applied to two numerical examples to show the effectiveness and advantages of our results.

This paper reviews some recent works on impulsive delayed systems (IDSs). The prime focus is the fundamental results and recent progress in theory and applications. After reviewing the relative literatures, this paper provides a comprehensive and intuitive overview of IDSs. Five aspects of IDSs are surveyed including basic theory, stability analysis, impulsive control, impulsive perturbation, and delayed impulses. Then the research prospect is given, which provides a reference for further study of IDSs theory.

In this paper, we investigate the finite-time boundedness (FTB) and finite-time stabilization (FTS) of uncertain switched delayed neural networks of neutral type. Some sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to guarantee the FTB and FTS of the uncertain delayed switched neural networks of neutral type by using the multiple Lyapunov–Krasovskii functional, free-weighting matrix method, and average dwell time (ADT) methods, which are dependent on both the transmission delay and time delay in neutral term. Moreover, a state feedback controller is designed via the established LMIs. Finally, two examples are given to illustrate the effectiveness of the main results.