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In this paper, the problem of exponential synchronization of Chaotic Lur'e systems with sampled-data control is investigated. It's noted that the sampling periods are arbitrarily varying and bounded. A novel Lyapunov functional is proposed which takes full advantage of the available information about the actual sampling patterns. A linear matrix inequality method is utilized to design the sampled-data...
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...
This paper considers the stabilization problem for a harmonic oscillator system under positive delayed velocity feedback control. By using the τ-decomposition technique and imposing a simple constraint on the feedback gain, some necessary and sufficient conditions are established such that the harmonic oscillator can be globally asymptotically stabilized if and only if the time-delay for the control...
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 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...
In this paper, the problem of positive observer design of linear positive systems is studied. This paper aims to providing new design approaches for positive observers of linear positive systems. First, an efficient continuous-time positive observer design approach is proposed by using linear programming such that the observer error system is exponentially stable. Then, the results are also extended...
In this paper, the problem of stability for complex-valued neural networks involving both discrete and distributed delays is considered. Assuming that the activation function can be separated into its real and imaginary part, a sufficient condition is proposed for the asymptotical stability of the addressed neural networks by employing some analysis techniques. Finally, a numerical example is presented...
This paper concentrates on the issue of finite-time controller design for periodic systems with random transmission delays over networked control systems. The definitions of stochastic finite-time stability and finite-time boundedness are respectively given at the beginning of this paper. Then, based on the Lyapunov function and the linear matrix inequalities (LMIs) technique, the sufficient conditions...
This paper investigates the stochastic stability of networked control systems. Since the signal transmission in communication channels would suffer from some disturbances, both of the input and output communication delays and missing measurements are considered. An observer-based feedback controller is designed for the networked control system achieving asymptotically stable in mean square with guaranteed...
Addressed in this paper is the leader-following lag consensus of multiagent systems. By leader-following lag consensus, we mean that the followers achieve the state consensus with a lagged state of the leader. By means of Lyapunov-Krasovskii method, a sufficient condition is established which guarantees the required lag consensus. A numerical example is provided to illustrate the proposed theoretical...
In this paper, the problem of sliding mode control (SMC) for mismatched uncertain system is investigated. Some delay dependent robust asymptotical stability conditions are provided. Firstly, we give a lemma. By this lemma, a delay-dependent sufficient condition is presented by means of linear matrix inequalities (LMIs) which makes sliding mode dynamics asymptotically stable. Secondly, an adaptive...
The problem of delay-dependent observer-based robustly passive control is addressed for neutral type descriptor Markov jump systems with time-varying delays. The parameter uncertainties of the system are assumed unknown and norm-bounded. Using Lyapunov-Krasovskii functional method and weighted matrix, a delay-dependent robustly passive condition for closed-loop system is given. Then, the sufficient...
The reduced-order H∞ filtering problem for singular neutral systems with distributed delay is investigated in this paper. The Lyapunov stability theory and linear matrix inequality (LMI) approach are proposed to design a reduced-order H∞ filter such that the filtering system remains asymptotically stable and the bound of H∞ norm is less than a given level γ. Moreover, an explicit parametrization of...
In this paper, the global exponential stability in Lagrange sense for complex-valued neural networks with discrete time-varying delays and distributed time-varying delays is investigated. A criterion to ensure the global exponential stability in Lagrange sense for complex-valued neural networks with discrete time-varying delays and distributed time-varying delays is obtained by employing Lyapunov-Krasovskii...
This article discusses the Lyapunov-Krasovskii functional method for the stability problem of coupled differential-functional equations with distributed delays and one discrete delay. By means of an equivalent expression of the system, the solution of the original system is obtained by using the fundamental solution. Furthermore, a complete Lyapunov-Krasovskii is obtained, which is necessary and sufficient...
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,...
This paper is focused on a new class of cellular neural networks with memristive, fuzzy logic, time-varying delays and general activation functions. The dynamic analysis in the paper employs results from the theory of differential equations with discontinuous right-hand side as introduced by Filippov. Some sufficient conditions in terms of algebraic criteria are presented such that the proposed system...
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...
This paper gives some Razumikhin-type theorems on pth moment boundedness of impulsive stochastic functional differential equations (ISFDEs) by using Razumikhin tenique and comparison principle. Some improved conditions on pth moment stability are also proposed. The main results of this paper allow the estimated upper bound of the diffusion operator associated with the underlying (ISFDEs) of the Lyapunov...
This paper focuses on the ℓ1 finite-time control design problem of a class of network-based positive systems. Both the event-triggered mechanism of signal transmission and the network-induced delay are taken into account. Considering the peculiarity of positive systems, the event-triggered condition is designed in a linear form to reduce the occupation of network channels, which will save the limited...
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