| 引用本文: | 刘兆波,李婵颖.单参数离散时间非线性系统的可镇定性定理(英文)[J].控制理论与应用,2019,36(11):1929~1935.[点击复制] |
| Liu Zhao-bo,Li Chan-ying.Stabilizability theorem of discrete-time nonlinear systems with scalar parameters[J].Control Theory and Technology,2019,36(11):1929~1935.[点击复制] |
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| 单参数离散时间非线性系统的可镇定性定理(英文) |
| Stabilizability theorem of discrete-time nonlinear systems with scalar parameters |
| 摘要点击 1612 全文点击 723 投稿时间：2019-08-02 修订日期：2019-12-02 |
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| DOI编号 10.7641/CTA.2019.90640 |
| 2019,36(11):1929-1935 |
| 中文关键词 反馈极限 自适应控制 最小二乘法 可镇定性 非线性系统 离散时间 |
| 英文关键词 feedback limitations adaptive control least squares stabilizability nonlinear systems discrete time |
| 基金项目 国家重点研发计划项目，自然科学基金委项目 |
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| 中文摘要 |
| 本文对基本的离散时间非线性单参数随机系统建立了可镇定性定理. 该定理推进了文献[1]的结果, 进一步完
善了关于离散时间自适应控制的反馈能力刻画. 离散时间单参数系统可镇定的一个重要非线性临界常数是4, 用以刻画
关于幂函数类系统的反馈能力. 而作为本文定理的应用, 本文对一类典型的单参数离散时间非线性随机系统发现了新的
可镇定临界常数2. |
| 英文摘要 |
| This paper advances [1] by deducing a stabilizability theorem for discrete-time nonlinear systems with scalar
parameters, which takes a step forward to the complete characterization of feedback limitations in discrete-time adaptive
nonlinear control. It is well-known that exponent 4 is an important critical number to characterize the feedback capability
for the basic discrete-time scalar-parameter systems, which are governed by power functions. As an application of our
theorem, a new critical number 2 is derived for a typical class of discrete-time nonlinear stochastic systems with scalar
parameters. |