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

• 作者: Dimplekumar Chalishajar Heena Chalishajar John David
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Trajectory CONTROLLABILITY MONOTONE Operator Theory Set VALUED Function LIPSCHITZ CONTINUITY Finite Difference Optimization
• 年，卷（期）: 2012,（11）
• 页码范围: 1729-1738
• 页数: 10页
• 分类号: O1

摘要

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.