Cone-type constrained relative controllability of semilinear fractional systems with delays

Constrained controllability of semilinear systems with multiple delays in control

In the present paper finite-dimensional, stationary dynamical control systems described by semilinear ordinary differential state equations with multiple point delays in control are considered. Infinite-dimensional semilinear stationary dynamical control systems with single point delay in the control are also discussed. Using a generalized open mapping theorem, sufficient conditions for constra...

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...

Constrained Controllability of Second Order Semilinear Systems

*Institute of Control Engineering, Silesian University of Technology, street Akademicka 16, 44-100 Gliwice, Poland, (e-mail: [email protected]) _____________________________________________________________________________________ Abstract: In the paper finite-dimensional dynamical control systems described by second order semilinear stationary ordinary differential state equations are consi...

Relative controllability of fractional dynamical systems with multiple delays in control

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...