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This paper investigates the stability problem for discrete-time genetic regulatory networks (GRNs) with time-varying delays. A new stability criterion is established by utilizing the discrete Wirtinger-based inequality and a new constraint condition on feedback regulatory function which are used for the first time in the stability analysis of GRNs. Two numerical examples are provided to demonstrate...
This paper investigates the problem of extended dissipativity analysis for cellular neural networks with distributed delay. Firstly, a relaxed Lyapunov-Krasovskii functional is constructed, which is not choosing the general positive-definite quadratic functional, but using some symmetric matrices instead. Further, the extended dissipativity analysis is considered in this paper which contains the ℋ...
The study of evolution systems driven by noises including Brownian motion, impulses, Poisson jump in Hilbert spaces has been reported extensively and applied in many fields such as engineering, physics, economics and biology. In this paper, a class of stochastic evolution jump-diffusions driven by impulses are studied. Some sufficient conditions which ensure pth moment exponential stability of mild...
There exist big uncertainties in the process of entry guidance for hypersonic flight vehicle. But for all kinds of guidance approaches, stability analysis method is slightly single. In this paper, based on the singular perturbation theory, we decouple the hypersonic vehicle entry guidance dynamic model into two time-scale model. To analyze the stability of entry flight trajectory tracking guidance,...
This paper is concerned with the problem of asymptotical stability for neutral system. The delay variation is divided into two unequal subintervals and some Lyapunov-Krasovskii functionals are defined on the obtained subintervals. The reciprocally convex technique is used to deal with the derivative of the Lyapunov-Krasovskii functionals. Two improved delay-dependent criteria are derived in terms...
This paper studies the stability and steady state of DC microgrids with distributed cooperative droop control that works in the second level and is based on the current errors between neighboring nodes. It is shown that the stability problem is equivalent to the semistability problem of a class of second-order matrix system, followed by some further sufficient conditions. A simulation example on the...
Recently, finite-time and fixed-time stability has been a hot topic in the study of dynamical systems. In this paper, we will provide an insightful view on this issue and explore the intrinsic property by mathematical analysis. Several theorems and corollaries show how to find the settling time. Moreover, we apply the corresponding theory on the finite-time and fixed-time synchronization problem of...
Aiming at the compensation issues of the random communication delay in networked control systems, this paper proposes a method to design the time-delay compensation controller based on generalized predictive control. The compensation controller consists of the network predictor and the time-delay compensator, which is used to make up for the delay with different characteristics. Different from the...
In this paper, the complex-valued neural networks with both periodic time-varying delays and coefficients is considered. A sufficient criterion is established to ensure the existence, uniqueness and global exponential stability of periodic solution for the considered complex-valued neural networks. When these coefficients are constants, a stability criterion is derived to the existence, uniqueness...
In this paper, the stability of finite evolutionary games (EGs) with time-varying payoffs is studied by using the Lyapunov-based technique. First, the profile dynamics of EGs with time-varying payoffs is expressed into an algebraic form via the semi-tensor product of matrices. Second, a sufficient condition is obtained for the global stability of EGs with time-varying payoffs, and a common Lyapunov...
The paper investigates exponential stabilization problem of systems with time-varying delay via periodically intermittent memory state-feedback control. By constructing a new Lyapunov-Krasovskii functional and employing the free-matrix-based integral inequality, less conservative delay-derivation-dependent conditions are derived in terms of linear matrix inequalities than the existing ones. Particularly,...
In this paper, the problem of delay-dependent stability criterion for Takagi-Sugeno systems with time-varying delay is investigated. Firstly, a novel augmented Lyapunov-Krasovskii functional is chosen. Then, a less conservative stability criterion is obtained via a newly developed free-matrix-based integral inequality. Finally, two numerical examples on time-delay stability analysis are given to demonstrate...
In this paper, we analyze the stability of distributed Hopfield neural networks. Distributed parameter Hopfield neural networks model is established by PDEs so state space of the controlled system belongs infinity dimensions, which is different from ODEs and DAEs models. Reaction-Diffusion Hopfield neural networks model is a new class of net systems which exist widely in control science, intelligent...
We present rigorous results concerning the stability of limit cycles in an integrate-and-fire circuit. The specific system is modeled in a hybrid systems framework. We analyze basic properties of the limit cycles in the integrate-and-fire circuit system and under some mild assumptions, we show the equivalent characterizations of stability of the limit cycles. The integrate-and-fire circuit is finally...
The stability problem of T-S fuzzy system with interval fast time-varying delay is addressed. Based on a Wirtinger-based integral inequality, we construct a Lyapunov-Krasovskii functional and give a much less conservative stability criterion than the some existing ones. Finally, two numerical examples are given to illustrate the effectiveness of the result.
This paper aims to study delayed Hopfield neural networks with fractional-order Caputo derivative. With the help of the equivalent norm techniques and fixed point theorem, the new sufficient conditions to assure the existence, uniqueness and stability of fractional-order Hopfield neural networks with delays are obtained. Finally, the efficiency of the derived criteria is illustrated by two examples.
This study aims at investigating the issues of stability and stabilization for time delay quadratic discrete-time systems. First of all, provided a locally asymptotically stable zero equilibrium point of the quadratic system and some other polytope in the state space containing the origin, a delay-independent sufficient condition judging whether this polytope belongs to the domain of attraction (DA)...
This paper considers pointwise stabilization of an Euler-Bernoulli beam equation where two kinds of feedback are jointed with each other for the arbitrary internal point in the boundary conditions. The asymptotic expressions of the eigenvalues are obtained for all sufficient large positive integers. And then the asymptotical stability and exponential stability have been analyzed by the characteristic...
According to the idea of “extended state”, a new control strategy is presented to stabilize Timoshenko beam with boundary disturbances. Similar to the active disturbance rejection control (ADRC) approach, first, the disturbance is estimated by a high gain observer, and then attenuated via the feedback channel. It is shown that the closed-loop system is exponentially stable by Lyapunov method, if the...
This paper proposes a delayed fractional-order model which is more accurate than the original integer-order model when depicting dual congestion control algorithms. Some sufficient conditions for the local stability are derived for the delayed fractional-order model of congestion control algorithms. Hopf bifurcation conditions are put forward for general delayed fractional-order systems. Then the...
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