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

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

作     者:Dimplekumar Chalishajar Heena Chalishajar John David 

作者机构:Mallory Hall Virginia Military Institute Lexington USA Roop Hall James Madison University Harrisonburg USA 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2012年第3卷第11期

页      面:1729-1738页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Trajectory Controllability Monotone Operator Theory Set Valued Function Lipschitz Continuity Finite Difference Optimization 

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.

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