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This paper deals with the H∞ finite-horizon filtering for discrete piecewise linear systems with infinite distributed delays and quantization effect. The modes and their transitions of augmented piecewise linear systems are formulated. The quantisation phenomenon is described by the logarithmic function and the time delays are assumed to be randomly occurred and infinitely distributed in the discrete-time...
In this paper, we consider robust stability analysis of a networked system with uncertain communication delays. Each subsystem of these systems can have different dynamics, and interconnections among the subsystems are arbitrary. It is assumed that there exists an uncertain but constant delay in each communication channel. Based on the integral quadratic constraint (IQC) framework, a sufficient robust...
The problem of H∞ control for polytopic uncertain system with mixed delays is considered. Firstly, a new condition for the asymptotic stability of this system is deduced by employing a relaxed Lyapunov-Krasovskii functional and an accurate integral inequality. Secondly, by solving a set of linear matrix inequalities, a sufficient condition for the existence of a H∞ controller is adressed. Finally,...
Time delays are widespread in power systems since communication networks can be used to send and receive information. In this paper, the influence of time-varying and constant delay on the stability of single area load frequency system is investigated. A comparative method to handle delay margins is presented. The maximum delay time when a power system is embedded into a steady state is treated as...
We discuss the design of periodical intermittent controller for a memristor-based neural network (MRNN). By introducing a proper Lyapunov functional, we prove that the equilibrium point of the MRNN is exponentially stable under the periodical intermittent control. In particular, the control period, width, and coefficients in the intermittent controller can be determined by an linear matrix inequality...
This paper studies the problem of stability analysis and stabilization for discrete-time interconnected systems. Firstly, a mathematical model of a class of nonlinear discrete time-delay large scale systems is established by using the Takagi-Sugeno(T-S) model, then the scheme of decentralized parallel distributed compensations (DPDC) fuzzy control is used to design controllers. A new Lyapunov-Krasovskii...
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...
This paper is concerned with the sampled-data state estimation problem for a class of delayed neural networks with randomly occurring sensor faults. Instead of the continuous measurements, the system measurements are sampled and then transmitted to the estimator to estimate the state of the neural network with simultaneous consideration of stochastic sensor faults. By employing the input delay approach,...
In this paper, the delay-probability-distribution-dependent stability problem for stochastic neural networks with various time-varying delays is investigated. By considering a new Lyapunov-Krasovskii functional (LKF) concluding more delay-partitioning term and combining free weight matrices and stochastic processing techniques, an improved delay-probability-distribution-dependent condition is built...
The quantized feedback controller is investigated for networked control systems with network delay, quantization and data packet loss. Firstly, the packet dropout, network delay and quantization are considered simultaneously, the random variation of packet dropout is illustrated by Markov chain. Then the network system is described by Markov jump system, the influence of the quantization error can...
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...
Observing and estimating system's states are the conditions to realize the effective control in the control and communication engineering field. In this paper for nonlinear descriptor jumping systems, proposed a novel observer, considered the nonlinear perturbation and network communication time-varying delay. A novel full-order delay dependent observer design method is developed by using system stability...
This paper is concerned with power and rate control for wireless communication networks with nonlinear channel fading. A new mathematical model of power and rate control system is derived, and a robust power and rate controller is designed based on sliding mode control. A sufficient condition for the existence of stable sliding surfaces is established via linear matrix inequality, and the controller...
This paper investigates synchronization problem of two identical chaotic Lur'e systems with time delay using sampleddata control. Firstly, a novel piecewise Lyapunov-Krasovskii function (LKF), which considers fully useful information of the systems and their cross terms, is introduced. Secondly, a new synchronization criterion is developed in terms of linear matrix inequalities (LMIs) by discarding...
This paper focuses on the stabilization problem of discrete-time systems with multiple input delay and multiplicative noise in both state and control channel. By designing the cost function and exploring the property of the cost function in the stochastic setting, the stabilization condition is obtained based on receding horizon control. It is shown that the system can be stabilized in the mean square...
This paper focuses on the problem of finite-time control for a class of networked control system (NCS) in presence of random time delay and packet dropout, and provides some main results which are sufficient conditions for finite-time bounded via state feedback. Firstly, the NCS with random time delay and packet dropout are modeled as linear systems by using certainty equivalence property and random...
This paper addresses the master-slave synchronization problem of continuous time nonlinear switched systems. The idea is to use sampled-data of both the measurement output and switching signal to design feedback control laws with synchronizing controller gains. Firstly, based on input delay approach, the synchronization error system is modeled as a switched system with state delay and asynchronous...
In this paper, we propose an intermittent control scheme for neural oscillator systems with delay. The aperiodically intermittent controller is designed. Based on the linear matrix inequality, and Lyapunov theory, a sufficient condition is derived. The exponential synchronization of master-response neural oscillator systems can be ensured based on designed intermittent controller. Numerical simulation...
This paper studies the problem of stability for Takagi-Sugeno (T-S) fuzzy systems with time varying delay. By employing a new augmented Lyapunov-Krasovskii function, using the second-order Bessel-Legendre inequality and combining with reciprocally convex approach, some less conservative delay-dependent stability criteria are derived within the framework of linear matrix inequalities (LMIs). Two numerical...
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