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This paper addresses the stability issues of delayed nonlinear systems of the form x(t) = A(t, x(t), x(t − d(t)))x(t)+B(t, x(t), x(t − d(t)))x (t − d(t)), that is, the system matrices depend on time and the present and past states. By means of a trajectory-based comparison approach, the stability of original nonlinear system is transformed into that of a positive linear system called comparison system...
In this paper, we study the stability of fractional-order systems with distributed delays under Riemann-Liouville derivatives. First, the sufficient condition for stability of fractional-order system with distributed delays is presented by applying continuous frequency distributed equivalent model with indirect Lyapunov approach and combining Lyapunov-Krasovskii functionals with Jensen inequality...
This paper deal with the problem of H∞ robust fault estimation for discrete time nonlinear system with a sector bounded nonlinear additive terms and multiple bounded state delay using the Takagi-Sugeno (T-S) fuzzy model. A fuzzy-fault estimation observer (FFEO) design is proposed to achieve fault estimation of T-S state delay models using fuzzy Lyapunov functions (FLF) with actuator and sensor faults...
This paper is concerned with the exponential lag anti-synchronization for a class of memristive neural networks with multiple time delays. By utilizing discontinuous control theory, several new sufficient conditions concerning exponential lag anti-synchronization are obtained. The obtained results complement and extend earlier publications on memristive or conventional neural networks. Finally, numerical...
This paper considers the problem of output feedback stabilization of a class of stochastic nonlinear systems with time-varying delay. With the aid of feedback domination technique and the Razumikhin-type theorem, an output feedback controller is designed to drive the closed-loop system globally asymptotically stable in mean square. The main contributions are two folds: 1) Remove the slowly varying...
This paper investigates the fuzzy H∞ filter design issue for nonlinear systems with time-varying delay. In order to obtain less conservative fuzzy H∞ filter design method, a novel integral inequality is employed to replace the conventional Lebniz-Newton formula to analyze the stability conditions of the filtering error system. Besides, the information of the membership functions is introduced in the...
Under the weaker assumption on the drift and diffusion terms, this paper proposes a new parameter-dependent state-feedback controller design scheme for a class of stochastic time delay systems. On the basis of stochastic time delay system stability theory, by tactfully choosing a suitable Lyapunov-Krasovskii functional (LKF), the proposed controller can ensure that the closed-loop system is globally...
This paper investigates the consensus of multiagent systems with parameter uncertainty and control gain error. In order to decrease the communication cost, the impulsive consensus protocol is derived to achieve the consensus. Due to the inevitable disturbance, parameter uncertainty and control gain error in multi-agent systems are considered simultaneously. One necessary simulation is finally given...
The problem of fault detection for a class of continuous-time nonlinear networked control systems subject to delays induced by the networks from the sensor to controller and from controller to actuator is concerned in this paper. An observer-based fault detection filter is designed. A sufficient condition is also derived which makes the closed-loop system asymptotically stable in terms of linear matrix...
The problem of H∞ fault detection filtering for a class of discrete-time nonlinear system based on T-S fuzzy model is investigated in this paper. In the filtering network system, packet dropout and networked time-delay are considered simultaneously. An event-triggered communication scheme is constructed to determine whether or not the current instant data should be transmitted. Fault detection filter...
Disturbance attenuation and tracking control for linear systems with time-delay are studied. A differential operator is constructed by Hamilton-Caylay theorem such that the tracking problem is converted to a stabilization problem. A control law is designed such that the output of the closed-loop system is able to track the reference signal and effectively reject the disturbance. Finally, an example...
This paper investigates the stochastic finite-time stability (SFTS) problem for a class of Markovian jump nonlinear systems with time delays. The nonlinear terms are assumed to satisfy the Lipschitz conditions, and the time delays are modelled by mutually independent stochastic variables subject to Bernoulli distributions. The aim of our work is to design a set of linear feedback controllers such...
This paper investigates the robustness issue of stochastic nonlinear network control systems (NCSs) with network-induced delays and packet dropouts. Firstly, the controller for the nominal system (without network-induced delays and packet dropouts) is designed to guarantee its globally asymptotic stability. Then, by choosing parameters which satisfy associated conditions, the ultimately globally asymptotic...
An adaptive neural control method is developed for a class of full state constrained nonlinear systems with unmodeled dynamics and time-varying delays in this paper. An integral barrier Lyapunov function (iBLF) is used to every step in the backstepping procedure to ensure that the full state constraints are not violated. The unmodeled dynamics is dealt with by introducing a dynamic signal and the...
In this article, we discuss the delay-dependent stochastic stability problem of nonlinear systems with Markovian jumping parameters. Provides a numerical example to verify the efficiency of this method.
Most processes in modern industries are physically distributed and generally composed of different subsystems, which characterized by significant interactions. In this paper, we investigate a decentralized Model Predictive Control (DMPC) approach for these systems over finite moving horizon at the presence of multiple faults occurring at unknown time-instants. Besides, the implementation of a control...
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...
This paper concentrates on the nonlinear filtering for systems with event-triggered data transmission and random time delays. A stochastic event-triggered sensor schedule is introduced to reduce the excessive measurements, which achieves a lower communication rate with a good estimation performance. The time delay is modeled by a Poisson distribution, and a D-length buffer is used to retrieve partly...
On account of the finite propagation speed of signals, time-delay phenomena are abundant. Compared with time-delay systems, nonlinear systems with generalized piecewise constant arguments can be both of advance and retard, which are an extension to time-delay systems. In this paper, we address the robustness of global exponential stability for a general class of nonlinear systems with generalized...
This paper proposes a method for the design of a robust functional H∞ observer for a class of time delay bilinear systems. The considered system is affected by norm-bounded uncertainties in the system matrices and an unmeasured perturbations which are of finite energy. The unbiasedness conditions on the nominal part of the error dynamics of the proposed reduced order observer were given by calling...
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