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Trajectory Controllability of Nonlinear Integro-Differential System—An Analytical and a Numerical Estimations
Mallory Hall, Virginia Military Institute, Lexington, USA
Roop Hall, James Madison University, Harrisonburg, USA
Mallory Hall, Virginia Military Institute, Lexington, USA
- 1 Mallory Hall, Virginia Military Institute, Lexington, USA
- 2 Roop Hall, James Madison University, Harrisonburg, USA
- 3 Mallory Hall, Virginia Military Institute, Lexington, USA
Applied Mathematics·Volume 03 (2012)·Pages 1729–1738·Published 7 November 2012·DOI10.4236/am.2012.311239
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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.
KeywordsTrajectory ControllabilityMonotone Operator TheorySet Valued FunctionLipschitz ContinuityFinite DifferenceOptimization
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