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

Affiliation(s)

Mallory Hall, Virginia Military Institute, Lexington, USA.

Roop Hall, James Madison University, Harrisonburg, USA.

Mallory Hall, Virginia Military Institute, Lexington, USA.

Roop Hall, James Madison University, Harrisonburg, USA.

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.

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.

Cite this paper

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.

D. Chalishajar, H. Chalishajar and J. David, "Trajectory Controllability of Nonlinear Integro-Differential System—An Analytical and a Numerical Estimations,"

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