unbounded interval 中文意思是什麼
unbounded interval
解釋
無界區間-
The result can be used in control problems whether the time interval is finite or infinite, the control set is bounded or unbounded, and also for systems with a weak differentiable function, i. e., the function f is only strong continuously g - differentiable but not f - differentiable. so, th 6. 2. 7 is a uniform theory of optimal control, and it has wide - ranging applications
可以看到，我們的結11摘要果可用於有限時域和無限時域、有界控制和無界控制、並且對系統中函數f的可微性要求也有較大的減弱? f對狀態變量x可以是僅有強連續的g一導數、不要求為f一可微。 -
With the conception, and example of " system ", we see that the weak - smooth system not only exists, but also genuinely contains the systems discussed in many literatures ( and we call these systems as " smooth system " ). hence, the optimal control problems for weak - smooth system includes the relevant ones for smooth system, and thus concentrates the scattered problems and the deliberations - - such as infinite time interval, unbounded controls, and function in system not being f - differentiable, etc
從弱光滑系統的概念及該章給出的系統的例子，可以看到弱光滑系統不但存在，而且真包含許多文獻討論的系統（本文稱為「光滑系統」 ）為特例；進而，弱光滑系統的最優控制問題就包含了光滑系統的有關問題，其結果也使當前對一些零散的問題的研究? ?包括無限時域和無界控制問題等? ?得到了統一。 -
In chapter 1, we review the history of optimal control theory and point out that there are still three basic problems in optimal control research, i. e., infinite time interval, unbounded controls, and function in system not being f - differentiable. we see that it is still a weakish in optimal control theory to overcome these difficulties
在第一章中，我們回顧了最優控制理論的發展歷史，提出了當前研究中仍存在的三個基本問題? ?即無限時間區域問題、無界控制問題、以及系統函數不為f -可導問題。 -
Replacing the ekeland distance by an uniform topology. endued with the new structure, uad is free of uncompleted of the old structure under unbounded control situation. meanwhile, the generalized ekeland ' s principle can be used to probe into the infinite time interval and unbounded control problems
用一種一致結構代替以往文獻中賦予uad的ekeland度量結構，從而解決了在討論無界控制時uad的原結構所遇到的不完備性問題；同時，我們對ekeland原理的推廣，也使該原理可用來討論無限時間區域、無界控制條件下的最優控制問題。
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