On Two extremal solutions of the admissible control problem with bounded controls

A. C. Rivero, Blanca de Jesus Gomez Orozco
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引用次数: 2

Abstract

Given the Brunovsky control system of dimension m for m ≥ 2, as well as an initial position x0 and a time T greater than the time optimal control tmin, we obtain two bangbang controls with exact m switchings for every m via orthogonal polynomials on [0; T].
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具有有界控制的可容许控制问题的两个极值解
给定m≥2的m维Brunovsky控制系统,初始位置x0,时间T大于时间最优控制tmin,我们通过正交多项式在[0]上得到每m有精确m个切换的两个bangbang控制;T]。
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