Unified approach for Euler-Lagrange equation arising in calculus of variations

被引：0

作者：

Naidu, DS ^{[1
]}

Imura, Y ^{[1
]}

机构：

[1] Idaho State Univ, Coll Engn, Measurement & Control Engn Res Ctr, Pocatello, ID 83209 USA

来源：

PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2003年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We address the development of a unified approach for the necessary conditions for optimization of a functional arising in calculus of variations. In particular, we develop a unified approach for the Euler-Lagrange equation, that is simultaneously applicable to both shift (q)-operator-based discrete-time systems and the derivative (d/dt)-operator-based continuous-time systems. It is shown that the Euler-Lagrange results that are now obtained separately for continuous-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given.

引用

页码：3263 / 3268

页数：6

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