This paper treats the concept of practical uniform $h$-stability for such perturbed dynamical systems as an extension exponential stability. We present a converse Lyapunov theorem and we give sufficient conditions that guarantee time-varying system using Gronwall-Bellman inequality Lyapunov's theory. Some examples are introduced to illustrate applicability main results.

The problem of disturbance rejection in the control of nonlinear systems with additive disturbance generated by some unforced nonlinear systems, was formulated and solved by {itshape Mukhopadhyay} and {itshape Narendra}, they applied the idea of increasing the order of the system, using neural networks the model of multilayer perceptron on several systems of varying complexity, so the objective...

Different graph generalizations have been recently used in an ad-hoc manner to represent multilayer networks, i.e. systems formed by distinct layers where each layer can be seen as a network. Similar constructions have also been used to represent time-varying networks. We introduce the concept of MultiAspect Graph (MAG) as a graph generalization that we prove to be isomorphic to a directed grap...