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Networked Distributed Model Predictive Control (NDMPC) is an effective control strategy which is usually used to control large-scale industrial processes with multi-variable coupling. However, data transmission and information exchange are carried out through the network in this control system, it will inevitably appear the phenomenon of network time-varying delay and data packet dropout, which will...
In this paper, the problem of H∞ sliding mode control for discrete-time singular systems with time-varying delay is studied. A new type of sliding mode surface involving the singular matrix E is proposed firstly, based on which, a less conservative condition is obtained to guarantee the ideal sliding mode dynamics of the singular system to be admissible with a γ-Ievel disturbance attenuation of the...
This paper examines the tracking property of nonlinear delayed multi-agent systems with impulsive effects. The strengths and locations of the stabilizing impulses, as well as the number of the controlled nodes are all assumed to be time-varying. Some sufficient criteria are established such that the considered system can exponentially track the dynamical reference state based on the given impulsive...
This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
In this paper, the quasi-synchronization of a class of nonlinearly-coupled complex networks is studied. Different from the previous works, a distinguishing characteristic of this work is that the coupling matrix of nonlinear coupled networks is asymmetrical. The effect of time-varying delay in dynamical networks is also considered. By utilizing the aperiodically intermittent pinning control technique,...
This paper is devoted to local stabilization for continues-time T-S fuzzy systems with time-varying delays. A new Lyapunov-Krasovskii functional which is dependent on the membership function is proposed to derive the main results. Since the time derivative of the membership function is considered, larger delay bound can be found in this paper the ones in the literature. In the end, an example is given...
In 2013, Mao initiated the study on the stabilization of continuous-time hybrid stochastic differential equations by feedback controls based on discrete-time state observations. In this paper, we will extend the theory to deal with the robust discrete-state-feedback stabilization problem for hybrid stochastic systems with time-varying delay. By employing the Razumikhin technique, delay-dependent criterion...
This paper is concerned with global exponential stability problem for a class of neural networks with time-varying delays. An appropriate Lyaponov-krasovskii functional (LKF) is constructed firstly. The symmetric matrices involved in the LKF are not required to be all positive definite. The obtained criterion expressed in terms of linear matrix inequalities (LMIs) shows advantages over the existing...
In this paper, we consider the stability of a class of linear systems with a time-varying delay. By using delay decomposition method, the time-delay interval is decomposed into two sub intervals to construct a suitable Lyapunov-Krasovskii functional, and each term of the Lyapunov-Krasovskii functional do not need to be positive definite, the partial items of Lyapunov-Krasovskii functional are consider...
This paper studies the networked control systems (NCSs) with bilateral time-varying delay and packet dropout, and proposes a novel active time-varying sampling period switched control method to make the system stable. Firstly, the event and time-driven sensor is adopted, and its variable sampling period is designed to follow the change of time delay and packet dropout simultaneously. Then the discrete-time...
This paper is devoted to investigating the problems of the variable structure control and optimization for a class of time delay systems, which contain matched uncertainty and unmatched uncertainty, time-varying delay in state of system. Firstly, some special transformation is made for the considered system to obtain an equivalent system. A sliding surface is designed to ensure the behavior of system...
In this paper, the problem of the robust dissipativity is studied for a class of uncertain neural networks with time-varying delays. By constructing appropriate Lyapunov-Krasovskii functional, using linear matrix inequality(LMI) technique, several new criteria are obtained, moreover, these conditions are expressed in terms of LMI and can be easily checked by Matlab LMI toolbox. Finally, one example...
In this paper, the problem of stability for linear systems with time-varying delays is investigated. By inequality, Then we obtain a less conservativstability criteria. Finally, The superiority and validity of the propconstructinga suitable augmented Lyapunov-Krasovskii functional and its derivative is estimated by using Jensen integral osed criteria are verified by comparing maximum delay bounds...
In this paper, the problem of H∞ nonlinear stochastic stability analysis for a class singular systems with Markovian jumping parameters and time-varying delay is addressed. The discrete delay is assumed to be time-varying and belong to a given interval. Based on LMIs (linear matrix inequality) approach, a delay depended condition is proposed, which ensure the singular system is stochastically stable...
This paper studies the problem of determining sensor locations in a large sensor network using only relative distance (range) measurement. In this paper, we consider a synchronous communication protocol when 1) the communication delay between sensors is uncertain; 2) successive packet loss is finite. Based on the barycentric coordinate representation, our work generalizes the DILOC algorithm in the...
This paper presents an improved result on H∞ state estimation for static neural networks with a time-varying delay. First, a novel Lyapunov-Krasovskii functional (LKF) with several augmented terms is constructed. Then, a relaxed integral inequality is employed to make a tight estimation for single integral terms with time-varying delay in the derivative of the LKF. As a result, a delay-dependent criterion...
This paper deals with the problem of H∞ full-order observer design for discrete-time linear singular systems with disturbance inputs and time-varying delay in state variables. A delay-dependent sufficient conditions is presented to guarantee the considered observer to be stable and satisfy the prescribed H∞ performance γ. The main procedure is based on Lyapunov-Krasovskii stability theory, where the...
This paper is concerned with the adaptive stabilization problem of high-order stochastic nonlinear systems with time-varying delay. Indeed, there exist lots of deterministic results for the system without uncertainty and time delay. However, owing to the existence of time varying delay, unknown parameters and the relaxed nonlinear terms, it is not easy to choose an appropriate Lyapunov-Krasoviskii...
In this paper, the problem of stability for linear systems with time-varying delays is investigated. By constructinga suitable augmented Lyapunov-Krasovskii functional and its derivativeis estimated by using Jensen integral inequality, Then we obtain a less conservativstability criteria. Finally, The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under...
This note deals with the stability problem of linear system with time-varying delay in a given range. In order to analyze its stability, a new type of Lyapunov functional (LF) which incorporates more information on the delay and some triple-integral terms is constructed. By combining Jensen's integral inequality with a delay division technique, upper bound of LF derivative has been estimated more...
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