Approximate Controllability of Semilinear Control System Using Tikhonov Regularization

Approximate Controllability of Delayed Semilinear Control Systems

We deal with the approximate controllability of control systems governed by delayed semilinear differential equations ẏ(t) =Ay(t) +A1y(t−∆) +F(t, y(t), yt) + (Bu)(t). Various sufficient conditions for approximate controllability have been obtained; these results usually require some complicated and limited assumptions. Results in this paper provide sufficient conditions for the approximate cont...

On the approximate controllability of semilinear control systems

ABOUT THE AUTHORS Divya Ahluwalia received her PhD degree in Mathematics from Indian Institute of Technology, Roorkee (India) in 2004. Currently, she is an associate professor in the University of Petroleum and Energy Studies, Dehradun, India. Her research area includes controllability of deterministic systems. N. Sukavanam received his BSc (Maths) degree from University of Madras, India in 197...

Approximate Controllability of Semilinear Control Systems in Hilbert Spaces

This paper deals with the approximate controllability of semilinear evolution systems in Hilbert spaces. Sufficient condition for approximate controllability have been obtained under natural conditions.

On partial approximate controllability of semilinear systems

Approximate controllability of fractional semilinear control system of order α ∈ (1,2] in Hilbert spaces

The objective of this paper is to present some sufficient conditions for approximate controllability of fractional order semilinear system of order α ∈ (1,2] in Hilbert spaces. The results are obtained by using Schauder’s fixed point theorem. At the end, an example is given to show the effectiveness of the result.