A variation equation problem on singular stochastic control 奇異型隨機(jī)控制中的一個(gè)變分方程問題
These phenomena can be well characterized by two or multiple stages exponent formulation . permeability variation equation and it ' s solution at three boundary conditions has got in laplace domain 建立了滲透率變異控制方程,并利用laplace變換求得了該方程三種邊界條件下的的拉氏空間解析解。
This paper discusses a variation equation problem in a class of singular stochastic control with stopping time , gives its solution under two different conditions , which is a one order continuous differentiable and concave function , and gives the exact form 摘要討論了一類帶停時(shí)的奇異型隨機(jī)控制問題中的一個(gè)變分方程問題,并且在兩種不同的情況下給出了該變分方程的解,即為一階連續(xù)可導(dǎo)凹函數(shù),并在兩種情況下給出了此函數(shù)的具體形式。
By analyzing the eigenvalues of linear variation equations , some algebraic criteria for the absolute stability ( independent of the delays ) are established for two special 3 - dimensional systems . also , the sufficient conditions under which the systems hold a hopf bifurcation are obtained , which are easy to verify 我們通過分析特征方程的特征根,獲得了平衡點(diǎn)絕對(duì)穩(wěn)定的代數(shù)判據(jù),同時(shí)得到系統(tǒng)存在hopf分支的充分性條件,這些判據(jù)在實(shí)際中易于驗(yàn)證。
An on - line minimum - variance estimator was developed for thrust acceleration applied to orbit transfer using discrete - time radar measurements . the mass - flow - rate of propellant was selected as a state variant , which was estimated by employing an integral state model and ekf filter . the variation equations for measurement vector to mass - flow - rate have been established to linearize the discrete - time measurement equations . the algorithm has applied successfully to maneuver process in commanding satellite into geo - stationary orbit . the results show that the algorithm developed here can monitor and determine whether engine works well or failure precisely and quickly during orbit transfer process 飛行器軌道機(jī)動(dòng)過程中,為跟蹤、定位機(jī)動(dòng)目標(biāo)和干預(yù)機(jī)動(dòng)控制過程,需要統(tǒng)計(jì)處理離散的雷達(dá)觀測(cè)量實(shí)時(shí)估計(jì)推進(jìn)發(fā)動(dòng)機(jī)的推力,進(jìn)而確定飛行器的瞬時(shí)軌道參數(shù).本文所述算法是該工程問題的探討和解決方案.文章建立了軌道機(jī)動(dòng)過程中連續(xù)變質(zhì)量運(yùn)動(dòng)模型和離散雷達(dá)量測(cè)模型,推進(jìn)發(fā)動(dòng)機(jī)的質(zhì)量秒耗量作為表征推力加速度的一個(gè)近似常量,應(yīng)用擴(kuò)展卡爾曼濾波對(duì)離散的雷達(dá)測(cè)量數(shù)據(jù)進(jìn)行順序統(tǒng)計(jì)處理給出秒耗量的最小方差估計(jì);文章詳細(xì)地推導(dǎo)了線性化量測(cè)模型的變分方程和觀測(cè)矩陣;仿真結(jié)果表明該算法能快速、準(zhǔn)確地估計(jì)推進(jìn)發(fā)動(dòng)機(jī)的質(zhì)量秒耗量和向機(jī)動(dòng)目標(biāo)施加的實(shí)際推力