Relative controllability of nonlinear switched fractional systems

Boundary Controllability of Nonlinear Fractional Integrodifferential Systems

Controllability of nonlinear implicit fractional integrodifferential systems

Integrodifferential equations arise in many fields of science and engineering such as fluid dynamics, biological models, and chemical kinetics. A detailed investigation of integrodifferential equations and their solution via the Laplace transform method can be found in the work of Burton (1983). Recently, fractional integrodifferential equations have been used to model various physical phenomen...

Relative controllability of fractional dynamical systems with delays in control

Keywords: Relative controllability Time delays Distributed delays Fractional derivative Mittag–Leffler function a b s t r a c t This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the...

Relative Controllability of Nonlinear Neutral Volterra Integrodifferential Systems

Sufficient conditions are derived for the relative controllability of nonlinear neutral Volterra integrodifferential systems with distributed delays in the control variables. The results are a generalization of previous results and are obtained by using Schauder's fixed-point theorem.

Relative controllability of nonlinear systems with delays in control

Controllability problems for different types of nonlinear dynamical systems with delays in control has been studied by several authors with the help of different fixed point theorems [1-15]. In particular in the paper [7] the notion of measure of noncompactness of a set and Darbo’s fixed point theorem are used for the study of the relative controllability for nonlinear systems with lumped multi...