Generalized persistency of excitation.
Generalized practical stability analysis of discontinuous dynamical systems
In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability) and...
Generalized practical stability results by perturbing Lyapunov functions.
Generalized stability of motion of impulsive Lurie-Postnikov systems with structural perturbation.
Gleichmäßig asymptotische Stabilität stationäre Punkte bei Differential-Differenzengleichungen.
Global asymptotic behavior of solutions of positively damped Liénard equations
Global asymptotic stability for plane polynomial flows
Global attractors of non-autonomous quasi-homogeneous dynamical systems.
Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
Global properties of the three-dimensional predator-prey Lotka-Volterra systems.
Global stability of delayed Hopfield neural networks under dynamical thresholds.
Global stability of sets for systems with impulses.
Globally convergent differential procedures for solving nonlinear systems of equations
Growth conditions for the stability of a class of time-varying perturbed singular systems
In this paper, we investigate the problem of stability of linear time-varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions of linear perturbed singular systems are obtained based on generalized Gronwall inequalities and Lyapunov techniques. Moreover, we study the problem of stability and stabilization for some classes of singular systems. Finally, we present a numerical example...