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This paper focuses on the small-signal stability analysis of systems modeled as Neutral Delay Differential Equations (NDDEs). These systems include delays in both the state variables and their first time derivatives. The proposed approach consists in descriptor model transformation that constructs an equivalent set of Delay Differential Algebraic Equations (DDAEs) of the original NDDE. The resulting...
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...
Unknown delayed systems are present in many domains and control this kind of systems remains a difficult problem. Indeed, we can find theses systems in physics, chemistry, aeronautics, etc. The main problem is that the delay is unknown, and so the model is not exactly well-known. By the way, the use of model-free control (MFC) remains a suitable solution to tackle this problem. This paper deals with...
In this paper, we investigate the sampled-data control problem for polynomial sampled-data fuzzy system with time-varying delay. Based on sampled-data technique, a fuzzy controller is designed to guarantee the stability of closed-loop polynomial fuzzy system. By examining the stabilization problem, the Lyapunov-Krasovskii functional (LKF) is adopted and a delay-dependent stabilization condition is...
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...
This paper deals with the problem of complex spatio-temporal networks, which is modeled by coupled partial integro-differential equations (PIDEs). A spatial proportional-integral-derivative (SPID) state-feedback controller is studied. With Laypunov direct method, a sufficient condition on synchronization of the complex PIDE network is investigated in terms of linear matrix inequality (LMIs). Finally,...
Power systems can be stabilized using distributed control methods with wide-area measurements for feedback. However, wide-area measurements are subject to time delays in communication, which can have undesirable effects on system performance. We present time-domain analysis results regarding the small-signal stability of a two-area power system with damping control subjected to asymmetric time delays...
In this paper, stability properties of three different human-in-the-loop telerobotic system architectures are comparatively investigated, in the presence of human reaction time-delay and communication time-delays. The challenging problem of stability characterization of systems with multiple time-delays is addressed by implementing rigorous stability analysis tools, and the results are verified via...
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...
For it can effective representing many practical time-delay systems with low dimension delay channel, the study of coupled differential-difference equations(CDDE) has received renewed attention in recent years. Based on the method of generalized eigenvalue problem(GEVP) of linear matrix inequalities and discretized Lyapunov-Krasovskki functional(DLF), this article gives the accurate estimate of stable...
This paper investigates the problem of mean square finite-time passivity for discrete-time Markov jump neural networks with time delays and stochastic perturbations. In the measurement equation, a class of sensor nonlinearities are considered, which cover the standard Lipschitz condition as a special one. A sufficient mean square finite-time boundedness condition is established based on Lyapunov-like...
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,...
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 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 controller design for a one dimensional Schrödinger equation with an input delay on the boundary. A state-feedback control law is presented via the backstepping method to stabilize the delayed system. The numerical simulation verifies the feasibility of the suggested control law.
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.
This paper is concerned with the stabilization problem for T-S fuzzy system with interval time-varying delay. By constructing a novel augmented LKF and using a developed reciprocally convex matrix inequality proposed in this paper to bound the derivative of the LKF, a delay-dependent stabilization condition based on parallel distributed compensation scheme is worked out for the closed-loop fuzzy system...
This paper is concerned with the problem of stochastic stability analysis of discrete-time two-dimensional Markovian jump systems (2D MJSs) described by the Roesser model. The systems under consideration are subject to interval time-varying and full known transition probabilities of the jumping process/Markov chain. First, new finite-sum inequalities are proposed in this paper. Then giving the Lyapunov-Krasovskii...
This paper concerns the stability problem of singular systems with time-varying delay. According to different delay-partition intervals, an augmented Lyapunov-Krasovskii functional with delay cross terms is constructed. Based on it, using the relaxed integral inequality technique is to obtain a less conservative stability criterion. As a result, two numerical examples are provided to demonstrate the...
This paper studies the problem of bounded real lemma for a class of linear discrete-time networked control systems. By introducing an augmented matrix, the Lyapunov-Krasovskii functional of some existing literatures is improved and the discrete Wirtinger-based inequality is used to deal with the finite-sum term. Combining the discrete Wirtinger-based inequality and the reciprocally convex approach,...
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