Author(s)

Dimplekumar Chalishajar, Heena Chalishajar, John David

Mallory Hall, Virginia Military Institute, Lexington, USA.
Roop Hall, James Madison University, Harrisonburg, USA.

A stronger concept of complete (exact) controllability which we call Trajectory Controllability is introduced in this paper. We study the Trajectory Controllability of an abstract nonlinear integro-differential system in the finite and infinite dimensional space setting. We will then discuss how approximations to these problems can be found computationally using finite difference methods and optimization. Examples will be presented in one, two and three dimensions.

Trajectory Controllability; Monotone Operator Theory; Set Valued Function; Lipschitz Continuity; Finite Difference; Optimization

D. Chalishajar, H. Chalishajar and J. David, "Trajectory Controllability of Nonlinear Integro-Differential System—An Analytical and a Numerical Estimations," Applied Mathematics, Vol. 3 No. 11, 2012, pp. 1729-1738. doi: 10.4236/am.2012.311239.