Discrete Control Systems

Discrete Control Systems
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离散控制系统

DOI:
10.1007/978-3-662-00719-8_9
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发表时间:
1984
期刊:
--
影响因子:
--
通讯作者:
P. Tu
P. Tu
中科院分区:
--
文献类型:
--
作者:
P. Tu

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到目前为止,变分法和最大值原理都是以微分方程系统的形式进行分析的,其中变化是连续的或被视为随时间连续的。然而,在真实的世界中,许多观察和记录只是在不连续的时间间隔进行的,例如,国民生产总值一年只测量一次,进出口数字每季度报告一次。必须发展连续变分问题和最大值原理的离散对应。这将在本章中完成。
So far, the Calculus of Variations and Maximum Principle have been analysed in forms of differential equation system where changes are continuous or treated as continuous over time. In the real world, however, many observations are made and recorded only at discrete intervals, for example gross national product is measured only once a year, imports and exports figures are reported only quarterly. A discrete counterpart of the continuous Variational problems and Maximum Principle must be developed. This will be done in this chapter.