正交多项式稳定化

2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC) Pub Date : 2017-11-01 DOI:10.1109/ROPEC.2017.8261612

A. E. Choque-Rivero, Omar Fabián González Hernández

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引用次数: 3

摘要

设n为布鲁诺夫斯基系统的维数。对于n = 2m(分别为n = 2m + 1)，我们证明了[0，∞)上每一个在(0，∞)上至少有n/2个增加点，(分别为(n + 1)/2个增加点的正分布，在[0，∞)上产生一个位置控制，该位置控制稳定了维数1≤k≤n的Brunovsky系统族。

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Stabilization via orthogonal polynomials

Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.

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2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC)

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