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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 photovoltaic grid-connected inverter based on the deadbeat current control, the filter inductance variation and one-step-delay control affect the distortion of the grid current, stability and dynamic of the system. In this paper, a fast robust PWM method for photovoltaic grid-connected inverter is proposed, which reduces the distortion of the grid current caused by the filter inductance variation,...
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 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...
In this paper, the exponential stability of a class of bi-directional associative memory (BAM) neural networks with recent-history distributed delays is considered. By constructing suitable Lyapunov functional, we derive several sufficient conditions for the globally exponential stability of the equilibrium point of the system. The results of this paper are new and different from previously known...
In this paper a linear time delay systems of retarded type are presented as a potential model that can capture the behavior of human arm movement. The line tracking experiment is designed to validate the performance of the proposed model. The issue of stability of the time delay systems is presented and the critical delays curve is computed to indicate the stable region of the system in the delay...
This paper reveals a kind of adjustable reactor. Firstly, it introduces the basic principle of the reactor. The reactor is based on a transformer with air gap. The current signal of primary side is detected and then directly injected into the secondary side. In this paper, the phase difference(caused by time delay) between the detected current signal of primary winding and the injected current signal...
This paper investigate the stabilizing controller design of a class of linear time-invariant systems with one-step random delay in discrete time. Both stabilizing dynamic feedback and state feedback control are in consideration. The dynamic stabilizing controller of the closed-loop stochastic system are determined by the solutions of two discrete algebraic Riccati equations (DAREs). And the state...
This paper is concerned with the state estimation problem in the presence of multiple random delay and packet dropouts in both channels from sensor to estimator and actuator to controller and simultaneously with quantized measurements for linear discrete system. The compensation model for delayed and lost packets is first proposed to improve the performance by always using the one who is the most...
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...
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 investigates the problem of mean square exponential stability for uncertain stochastic interval type-2 (IT2) fuzzy neural networks with multiple time-varying delays. First, IT2 fuzzy neural network is introduced, which takes time delays and parameter uncertainties into account. Compared with the existing results, our model is more applicable since time delays and parameter uncertainties...
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.
This paper investigates the H∞ control design for memristor-based neural networks (MNNs) in the presence of actuator saturation and external disturbance. Initially, using characteristic function technique, we transform a general model of MNNs to a new form to solve the control design problem. Then, by constructing a appropriate Lyapunov function, a constrained H∞ control design is developed to exponentially...
The paper deals with the problem of exponential stability for positive Markovian jump systems with switching transition rates subject to average dwell time approach. Another set of useful regime-switching models has been given for an extension of fixed transition rate to combine time-varying transition rates. By resorting to the multiple linear co-positive Lyapunov function and average dwell time,...
In this paper, a bidirectional symmetric communication scheme for homogeneous platoon system is proposed. This scheme is based on the event-trigger condition which depends on both the vehicle itself and its neighbors' state. The sampled-data must meet a certain condition before transmitting, so communication resources among vehicles can be saved. The main contribution of this paper is that the event-triggered...
This paper studies the problem of robust H∞ control for uncertain stochastic system with time-varying delay. The time delay is assumed to be of interval type. By constructing a new stochastic Lyapunov-Krasovskii functional, Ito's formula and introducing free weighting matrix, sufficient conditions for delay-dependent robust H∞ control is obtained. The presented formulation is in the framework of linear...
This paper focuses on the problem of the stability analysis for T-S fuzzy systems with time delay. A novel Lyapunov-Krasovskii functional containing the fuzzy line-integral Lyapunov function is established. By employing some developed Wirtinger-based integral inequalities, less conservative stability criteria in terms of linear matrix inequalities (LMIs) are obtained. Two examples are given to verify...
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...
The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based...
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