標題: Titlebook: Variational Calculus and Optimal Control; Optimization with El John L. Troutman Textbook 1996Latest edition Springer Science+Business Media [打印本頁] 作者: 大小 時間: 2025-3-21 17:46
書目名稱Variational Calculus and Optimal Control影響因子(影響力)
書目名稱Variational Calculus and Optimal Control影響因子(影響力)學(xué)科排名
書目名稱Variational Calculus and Optimal Control網(wǎng)絡(luò)公開度
書目名稱Variational Calculus and Optimal Control網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Variational Calculus and Optimal Control被引頻次
書目名稱Variational Calculus and Optimal Control被引頻次學(xué)科排名
書目名稱Variational Calculus and Optimal Control年度引用
書目名稱Variational Calculus and Optimal Control年度引用學(xué)科排名
書目名稱Variational Calculus and Optimal Control讀者反饋
書目名稱Variational Calculus and Optimal Control讀者反饋學(xué)科排名
作者: 極微小 時間: 2025-3-21 21:50
Piecewise , Extremal Functions should exhibit “corners,” and it is natural to wonder whether cornered curves . and . such as those shown in Figure 7.1 might not give improved results for other problems. Such curves are represented readily by functions which are ., or ..作者: Agnosia 時間: 2025-3-22 03:58 作者: 刻苦讀書 時間: 2025-3-22 06:06 作者: 含糊其辭 時間: 2025-3-22 11:28 作者: inveigh 時間: 2025-3-22 13:57
Sufficient Conditions for a Minimumve also seen in §7.6 that a minimizing function . must necessarily satisfy the Weierstrass condition ?(. .(.),.(.) ≥ 0, ? . ∈ ?., . ∈ [.], where ?(.). .(.) - .(.)- .(.)?(.),(1)and this is recognized as a convexity statement for .(. . .) along a trajectory in ?. defined by ..作者: incarcerate 時間: 2025-3-22 17:51
Necessary Conditions for Optimalitythe adjoint equation (a necessary condition) can be used to suggest sufficient conditions for optimality. Finally, in §11.3, we extend our control-theory approach to more general problems involving Lagrangian inequality constraints, and in Theorem 11.20 we obtain a Lagrangian multiplier rule of the Kuhn-Tucker type.作者: 青少年 時間: 2025-3-22 23:11 作者: 混合 時間: 2025-3-23 01:56
Standard Optimization Problemshen “best” can be assessed numerically, then this assessment may be regarded as a real valued function of the method under consideration which is to be optimized—either maximized or minimized. We are interested not only in the optimum values which can be achieved, but also in the method (or methods)作者: Compatriot 時間: 2025-3-23 08:41 作者: 柳樹；枯黃 時間: 2025-3-23 10:39
Minimization of Convex Functionsnear space ., such that a convex function is automatically minimized by a . ∈ . at which its Gateaux variations vanish.. Moreover, in the presence of strict convexity, there can be at most one such .. A large and useful class of functions is shown to be convex. In particular, in §3.2, the role of [s作者: 發(fā)展 時間: 2025-3-23 17:06 作者: Esophagus 時間: 2025-3-23 19:34
The Euler-Lagrange Equations. However, it was not until the work of Euler (c. 1742) and Lagrange (1755) that the systematic theory now known as the calculus of variations emerged. Initially, it was restricted to finding conditions which were . in order that an integral function.should have a (local) extremum on a set. ? {. ∈ .作者: myriad 時間: 2025-3-23 22:44 作者: RADE 時間: 2025-3-24 02:59
Variational Principles in Mechanicstions of Euler-Lagrange for the minimizing function made it natural for mathematicians of the eighteenth century to ask for an integral quantity whose minimization would result in Newton’s equations of motion. With such a quantity, a new principle through which the universe acts would be obtained. T作者: Monotonous 時間: 2025-3-24 07:17
Sufficient Conditions for a Minimumn . on set such as . = {. ∈ .([.]).: .(.) = .(.) = .}, since they are only conditions for the stationary of .. However, in the presence of [strong] convexity of .(.,.) these conditions do characterize [unique] minimization. [Cf.§3.2, Problem 3.33 et seq.] Not all such functions are convex, but we ha作者: seduce 時間: 2025-3-24 12:11
Control Problems and Sufficiency Considerationstus which was efficiently self-correcting, relative to some targeted objective. Such efficiency is clearly desirable in, say, the tracking of an aircraft near a busy airport or in the consumption of its fuel, and other economically desirable objectives suggest themselves. The underlying mathematical作者: GET 時間: 2025-3-24 17:12
Necessary Conditions for Optimalityerval and its defining functions are suitably convex, then the methods of variational calculus can be adapted to suggest sufficient conditions for an optimal control. In particular, the minimum principle of §10.3 and §10.4 can guarantee optimality of a solution to the problem. In §11.1 we will disco作者: Cuisine 時間: 2025-3-24 20:36
Textbook 1996Latest editionst- calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob- tained through variational principles may provide the only valid mathe作者: Trypsin 時間: 2025-3-24 23:29 作者: 沐浴 時間: 2025-3-25 03:28
scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen- erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfo作者: seroma 時間: 2025-3-25 11:17
John L. Troutmanatients suffering major trauma even when the lung was not directly injured [51, 52]. The result of numerous clinical observations such as these provided a powerful impetus to the laboratory study of normal lung function and the impact of disease on the lung. Much has been learned at the bedside and 作者: Console 時間: 2025-3-25 12:21 作者: 技術(shù) 時間: 2025-3-25 16:05
John L. Troutmanhat would be encountered every day by an applied virologist trying to identify viruses and develop control measures for virus diseases of crop plants. Although a brief introduction to virus structure and its terminology is given in the opening chapter of the book, no attempt is made to cover in detail the mor978-0-412-35740-4978-94-011-3090-5作者: 似少年 時間: 2025-3-25 22:22
John L. Troutmanis related to the stress rate by separate linear functions for loading and unloading, it is convenient to introduce a linear comparison solid with identical boundary conditions (Section 1.5). While bifurcation in the linearized solid can occur under any given traction rates on .. and velocities on .作者: 議程 時間: 2025-3-26 02:45
s applicable to polymeric specimens, and to highlight typical applications to commercial polymers and polymer products. Where appropriate, the optical techniques involved are discussed in some detail. However, it has not been the intention to produce a light microscopy textbook dealing with the prin作者: 大炮 時間: 2025-3-26 04:54
John L. Troutmancal to ecosystem function as well as the demographic and genetic processes of adaptation. Scientific progress in the restoration of derelict lands requires an understanding of successional sequence of colonization, species’ autecology, and the dynamics of recruitment, and it is based on the populati作者: Coronation 時間: 2025-3-26 10:56
John L. Troutmann an adaptive predictive controller without requiring complete knowledge of the system parameters. In this scheme, the system is first identified on-line and then a predictive controller is designed. Based on pseudo-partial-derivatives (PPD) derived on-line from the input and output information of t作者: 根除 時間: 2025-3-26 13:53
designed to give equal emphasis to those applications which motivate the subject and to appropriatemathematical techniques. Thus, the student who has successfully completed the course is ready to turn in either of two directions: towards direct study of research papers in operations research, or to作者: 小蟲 時間: 2025-3-26 17:35
John L. Troutman state transitions are . a one-step transition from state . to a state . < . ? 1 is impossible. Many queueing models have this property, including all birth—death models, as well as a variety of M/GI/1-type models, including models with batch arrivals, phase-type service times, and . queue disciplin作者: 匍匐前進 時間: 2025-3-26 21:45
John L. Troutmandata is collected at two different points in the integration test phase and the two parameters can be determined from moment estimator formulas [9].The more powerful maximum likelihood method can also be employed to obtain point and interval estimates [3]. It is also possible to use least squares me作者: 安心地散步 時間: 2025-3-27 04:25
Variational Principles in Mechanicsy recognizing that the brachistochrone should give the least time of transit for light in an appropriate medium that Johann Bernoulli “proved” that it should be a cycloid in 1697. (See Problem 1.1.) And it was Johann Bernoulli who in 1717 suggested that static equilibrium might be characterized thro作者: Basal-Ganglia 時間: 2025-3-27 07:47 作者: maladorit 時間: 2025-3-27 09:31 作者: 美色花錢 時間: 2025-3-27 13:54
John L. Troutman, I endeavor to achieve a balance between theory and app- cations in a rather short compass. While the combination of brevity apd balance sacrifices many of the978-0-387-22711-5Series ISSN 1431-875X Series E-ISSN 2197-4136 作者: 令人悲傷 時間: 2025-3-27 19:40
0172-6056 lly that of Hamilton from the last century) show the importance of also considering solutions that just provide stationary behavior for some measure of performa978-1-4612-6887-1978-1-4612-0737-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 作者: Ejaculate 時間: 2025-3-28 00:37 作者: 做作 時間: 2025-3-28 05:50
Standard Optimization Problemshen “best” can be assessed numerically, then this assessment may be regarded as a real valued function of the method under consideration which is to be optimized—either maximized or minimized. We are interested not only in the optimum values which can be achieved, but also in the method (or methods) which can produce these values.作者: detach 時間: 2025-3-28 07:45
Local Extrema in Normed Linear Spaceshing of its gradient ?. (§0.5). In this chapter, we shall obtain analogous variational conditions which are necessary to characterize . extremal values of a function . on a subset . of a linear space . supplied with a norm which assigns a “l(fā)ength” to each . ∈ ..作者: flimsy 時間: 2025-3-28 12:04
The Euler-Lagrange Equations. However, it was not until the work of Euler (c. 1742) and Lagrange (1755) that the systematic theory now known as the calculus of variations emerged. Initially, it was restricted to finding conditions which were . in order that an integral function.should have a (local) extremum on a set. ? {. ∈ .[.]: .(.) = .;.(.) = .}.作者: Graduated 時間: 2025-3-28 18:19 作者: stress-response 時間: 2025-3-28 19:34 作者: BABY 時間: 2025-3-29 01:42
The Lemmas of Lagrange and du Bois-ReymondIn most of the examples in Chapter 3, we examined a real-valued function . defined on a domain of functions .. We obtained for . an integral condition in the form .(.; .) = 0, ? . in an auxiliary domain ., which is . to guarantee that each . ∈ . that satisfies it must minimize . on ..作者: 慢慢沖刷 時間: 2025-3-29 03:07 作者: Badger 時間: 2025-3-29 09:53 作者: 大溝 時間: 2025-3-29 12:07 作者: Innocence 時間: 2025-3-29 16:05 作者: GUISE 時間: 2025-3-29 23:39
John L. Troutmancritically ill patients [8, 43, 44]. The importance of pulmonary failure and respiratory care have been emphasized even when the patient’s primary disease does not originate in the lungs. This became apparent to me over 15 years ago while working in a clinical research unit at the Walter Reed Army H作者: 光滑 時間: 2025-3-30 02:13
John L. Troutmansuperimposing a positive end-expiratory pressure (PEEP) on a ventilatory pattern. Both conditions cause an increase in central venous pressure, which causes the decrease in cardiac output by virtue of its back pressure on venous return. If a change in PEEP is established for a period longer than a m作者: Agnosia 時間: 2025-3-30 04:18 作者: Palatial 時間: 2025-3-30 08:45
John L. Troutmane remainder .., more than one mode of deformation may be possible when the applied load reaches a critical value. The lack of uniqueness of the deformation mode under given boundary conditions is commonly referred to as bifurcation, the current shape and mechanical state of the body being supposed t作者: 一瞥 時間: 2025-3-30 12:49 作者: 偽造者 時間: 2025-3-30 17:00
despread as might be expected. Although reliable and relevant data are difficult to find and quantify, it seems that in other fields of materials science and technology there is a greater readiness to tum to the microscope in research, in industrial problem solving, or for quality assessment and con
