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摘要果可用于有限時域和無限時域、有界控制和無界控制、并且對系統中函數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。
Firstly , the identification of the double medium system is considered , the existence , the uniqueness and the boundness of the solution of the system of the partial differential equations are proved by using the monotone method , the mathematical model of the parameter identification problem is established , and under some mild assumptions , the optimality system about the identification is derived , thus the suitable gradient methods can be employed to solving the identification problem . secondly , the theories of optimal control of distributed parameter system are introduced to investigate the parameters identification problem involving the three - dimensional population system 利用單調方法證明了正問題解的存在惟一性和有界性,建立了相應參數識別問題的數學模型,并給出了求解這類識別問題的最優化系,從而可利用適當的梯度法,實現對系統參數的識別;把分布參數系統最優控制理論引入到具有多個識別參數的三維種群生態系統的參數識別問題之中,給出了參數識別問題最優解的存在性結論,證明了狀態方程的解對識別參數的連續依賴性和g (
Through the analysis of the dynamic characteristic of geomagnetic intensity in a orbit , the magnetic dipoles produced by magnetorquer are expanded in fourier series . the new method of momentum unloading is educed according to the need of the sum of unloaded momentum , and the magnetic dipoles are figured out under the theory of optimal control 通過對在軌衛星地磁場強度的變化規律分析,將衛星磁力矩器產生的磁矩按富利哀級數展開,根據衛星所需卸載角動量大小,按照最優控制理論求出三軸磁矩取值,得到一種新的利用地磁場給飛輪卸載的方法。