continuously differentiable 中文意思是什麼
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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。 -
In unconstrained optimization, we deal with the standard problem of finding the minimum of a function f : rn - r. if we assume that the function is twice continuously differentiable, many methods can be applied to find the minimum
在無約束最優化中，考慮尋找f ： r ~ n r的極小點。假設f是二次連續可微的，可以有許多方法尋找它的極小點。 -
We extend this result which is similar to ones of hirsch [ 1l ] and jiang [ 2 ] for 3 - dimensional cooperative system. furthermore, in the paper we discusse the cone of km, and obtain the similar result : theorem b : let f be a continuously differentiable cooperative vector field on d, suppose the following conditions hold : ( a ) d is pm - convex ; ( b ) every forward semi - orbit has compact closure in d ; ( c ) there is not more than one equilibrium p, then there is a unique equilibrium p and it is globally asymptotically stable
此外，本文還將在k _ m錐下討論此問題，並得到平行的結果：定理b ：設f是d上一個連續可微的合作向量場，假設如下條件成立： （ a ） d是p _ m凸的； （ b ） d中的每一個正半軌道有緊閉包； （ c ）至多有一個平衡點p ，則一定存在唯一的平衡點p ，並且是全局漸近穩定的。
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