退化線性系統 的英文怎麼說
中文拼音 [tuìhuàxiànxìngxìtǒng]
退化線性系統
英文
degeneratelinearsystem- 退 : 動詞1 (向後移動) retreat; draw back; move back 2 (使向後移動) cause to move back; remove; wit...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 系 : 系動詞(打結; 扣) tie; fasten; do up; button up
- 統 : Ⅰ名詞1 (事物間連續的關系) interconnected system 2 (衣服等的筒狀部分) any tube shaped part of ...
- 退化 : become vestigial; degenerate; deteriorate; retrograde; devolution; retrogradation; retrogression;...
- 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
- 系統 : 1. (按一定關系組成的同類事物) system 2. (有條理的;有系統的) systematic
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Based on polymerization reaction of the nylon - 6 rubberized cord fabric production of distributed control system in yangzhou organic chemical plant computer integrated manufacturing system ( yh - cims / dcs ), the multiple stepwise regression method was used to build the statistic mathematical models of the molecule weight and the monomer quantum of casting slice belt. then the optimization model of polymerization reaction was presented, which was solved by using simulation annealing algorithm to obtain the best techniques parameters. the improved hybrid genetic algorithm and back propagation algorithm are combined to train neural network, brought out the neural network prediction model of casting slice belt ' s average molecule weight to guide the technologist on - line
提出了流程工業生產過程操作優化策略和應用實施方法,包括生產過程離線優化策略、非線性問題求解策略、在線優化模型及學習策略;結合揚州有機化工廠計算機集成製造系統集散控制系統( yh - cims dcs )的實施,針對錦綸? 6浸膠南京理工大學博士學位論文摘要簾于布生產中己內酚胺聚合反應過程優化控制這一工程實際問題,採用統計建模方法,建立了聚合反應過程的優化模型;為求解所得的優化模型,提出了種改進的有約束條件下的模擬退火演算法,該演算法能避免陷於局部最優解,有效地提高了所求解的全局性和可靠性:提出了基於改進的ga演算法和sp演算法相結合的混合學習演算法,建立了基於神經網路的聚合反應過程生產目標在線預測模型,該演算法和模型滿足了生產中的實時性和實用性要求。This paper studies the corner layer behavior in quasi linear systems with turning points. under the appropriate conditions and by usin g the theory of differential inequality, the existence of the solution and its c omponentwise uniformly valid asymptotic estimation are obtained when the reduced solution does not have a continuous first - derivative in some point of ( 0, 1 )
奇攝動轉向點問題是來自量子力學及其他物理力學中的重要問題,特別對非線性系統的轉向點問題,已有的結果甚少,文章研究一類具有轉向點的擬線性系統的角層現象,在適當的假設條件下,利用微分不等式方法證明了當其退化解在( 0 , 1 )內某些點上一階導數不連續時解的存在性,並得到了解的按分量的一致有效的漸近估計。Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere
因為系統在( 0 , 0 )點處沒有定義,這給研究其在( 0 , 0 )附近的動力學性質帶來了困難,我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法,圓滿解決了這一問題,給出了第一象限內當t +或t -時,在全參數狀態下系統的軌線趨于( 0 , 0 )點的所有可能情況,其相圖也得以描繪;並且,系統不存在極限環的幾個充分條件我們也予以列出,當x的等傾線在0 x 1范圍內遞減時,系統不存在極限環,全局漸近穩定;然後,我們以中心流形定理和正規型方法為主要工具,巧妙選擇參數,分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔,證明了平衡點是余維3的焦點型平衡點,存在參數, m ,的值使得系統( 6 . 1 )有兩個極限環,還存在參數, m ,的另外值使得系統( 6 . 1 )有同宿軌或雙同宿軌。Comparing to linear equtions and quasilinear equations without degeneracy, such equations, to a certain extent, reflect even more exactly the physical reality. therefore, studying the optimal control problem of such equation is more important for practical use
與線性方程和不具退化性的擬線性方程相比,這類方程更能反映某些物理實際,因此研究由這類方程支配系統的最優控制問題更具有現實意義。The technical system evolves over time, which process parallels the micro - evolution of biological systems and illustrates the life cycle stages of child, growth, maturity and decline. what evolves is the characteristic index of the technical systems whose improvement is shown by a s - curve on the time - scale
技術系統處于不斷的進化過程中,其進化過程類似於生物的成長過程,要經歷嬰兒期、成長期、成熟期和退出期四個階段,在時域上表現為特性參數沿s -曲線的增長。Function - controllability of nonlinear singular delay differential control systems
非線性退化時滯微分控制系統的函數能控性分享友人