In this paper, robust stability of vehicles formation system with structural uncertainties and time-varying delays are analyzed. The vehicles are modeled as general linear systems and the feedback control is based only on relative information about vehicle states in an undirected communication topology graph. Sufficient conditions are proposed for asymptotical stability of vehicles formations s...

We mainly study the global behavior of the nonlinear difference equation in the title, that is, the global asymptotical stability of zero equilibrium, the existence of unbounded solutions, the existence of period two solutions, the existence of oscillatory solutions, the existence, and asymptotic behavior of non-oscillatory solutions of the equation. Our results extend and generalize the known ...

By the applications of Halanay type inequality and the theory of nonsingular M-matrix, the global asymptotical stability of the disease free equilibrium of a delayed malaria transmission model is obtained when the basic reproduction number of the model is less than 1.

In this paper, the global behavior for a class of nonlinear difference equation is considered, mainly for the global asymptotical stability of zero equilibrium with attractive basin, the existence of unbounded solutions, the existence of period two solutions, and the existence of oscillatory solutions, etc. Our results extend and generalize the known ones.

This article concerns the bistable traveling wavefronts of a nonlocal dispersal equation with convolution type bistable nonlinearity. Applying a homotopy method, we establish the existence of traveling wavefronts. If the wave speed does not vanish, i.e. c 6= 0, then the uniqueness (up to translation) and the globally asymptotical stability of traveling wavefronts are proved by the comparison pr...

This article investigates dynamical camera switching during visual servoing tasks using multicamera systems considering image-based and position-based Jacobian transpose control schemes. Stability is discussed using a common Lyapunov function assuming ideal target and camera models and multiple Lyapunov functions under parameter perturbations. It is shown that asymptotical stability cannot be a...

For a nonautonomous discrete SIQR model, we obtain conditions for permanence and extinction of the disease and we establish the global asymptotical stability when our conditions determine extinction. We also discuss the particular autonomous and periodic situations, where our conditions are sharp thresholds between permanence and extinction of the disease. AMS Subject Classifications: 92D30, 37...

We consider a system described by the Euler–Bernoulli beam equation. For stabilization, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the controller is a marginally stable positive real function which may contain poles on the imaginary axis. We then give various asymptotical and exponential stability results. We also consider the distur...

In this paper, a class of high-ordered neural networks are investigated. By rigorous analysis, a set of sufficient conditions ensuring the existence of a nonnegative periodic solution and its R +-asymptotical stability are established. The results obtained can also be applied to the first-ordered neural networks.