Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...

One of the primary Atmospheric Radiation Measurement (ARM) Program objectives is to obtain measurements applicable to the development of models for better understanding of radiative processes in the atmosphere. We address this goal by building a three-dimensional (3D) characterization of the cloud structure and properties over the ARM Southern Great Plains (SGP) site. We take the approach of ju...

Keywords: Neural networks Exponential stability M-matrix Variable delays Impulses a b s t r a c t This paper further investigates the problem of stability analysis for a kind of neural networks with variable delays and nonlinear impulses. With the help of M-matrix, the homeo-morphism theory, some effective inequalities and analysis techniques, certain novel criteria on the existence, uniqueness...

This paper presents an approach to compute the neighboring extremal solution for an optimal switched impulsive control problem with a pre-specified sequence of modes and a large perturbation in the initial state. The decision variables – the subsystem switching times and the control parameters – are subject to inequality constraints. Since the active status of these inequality constraints may c...