Trajectory Controllability of Nonlinear Integro-Differential System—An Analytical and a Numerical Estimations

Dimplekumar Chalishajar, Heena Chalishajar, John David

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

DOI: 10.4236/am.2012.311239                

Abstract

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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