Read Bryson and Ho Applied Optimal Control Pdf
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Optimal Command: Theory and Application to Science, Engineering science, and Social Sciences
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Davide La Torre, Herb Kunze, Manuel Ruiz-Galan, Tufail Malik, Simone Marsiglio , "Optimal Control: Theory and Awarding to Scientific discipline, Engineering, and Social Sciences", Abstract and Applied Assay, vol. 2015 , Article ID 890527 , 2 pages , 2015 . https://doi.org/10.1155/2015/890527
Optimal Control: Theory and Awarding to Science, Engineering science, and Social Sciences
Davide La Torre ,1 , ii Herb Kunze
,3 Manuel Ruiz-Galan ,iv Tufail Malik,1 and Simone Marsiglio 5
Received 12 Mar 2015
Accepted 12 Mar 2015
Published 20 Apr 2015
An optimal control problem entails the identification of a feasible scheme, policy, program, strategy, or campaign, in club to reach the optimal possible outcome of a system. More than formally, an optimal control trouble ways endogenously controlling a parameter in a mathematical model to produce an optimal output, using some optimization technique. The trouble comprises an objective (or cost) functional, which is a office of the state and control variables, and a set up of constraints. The problem seeks to optimize the objective function subject field to the constraints construed by the model describing the evolution of the underlying system. The two popular solution techniques of an optimal control problem are Pontryagin'south maximum principle and the Hamilton-Jacobi-Bellman equation [1].
Optimal control has get a highly established research front in recent years with numerous contributions to the theory, in both deterministic and stochastic contexts. Its awarding to various fields such as biology, economic science, ecology, engineering, finance, management, and medicine cannot be overlooked (meet, e.g., [1–12]). The associated mathematical models are formulated, for example, as systems of ordinary, partial, or stochastic differential equations or discrete dynamical systems, for both scalar and multicriteria decision-making contexts.
This special event is aimed at creating a multidisciplinary forum of word on contempo advances in theory likewise as applications. In response to the call for papers, 58 papers were received. Afterwards a rigorous refereeing process, 7 papers were accustomed for publication in this special consequence. The articles included in the issue cover novel contributions to optimal control theory as well as a broad spectrum of applications of optimal control from finance to resource management to technology to marketing.
The paper by Z. Lu and X. Huang investigates discretization of full general linear hyperbolic optimal command problems and derives a priori error estimates for mixed finite element approximation of such optimal control bug.
The newspaper by R. Wu et al. proposes, analyzes, and solves an optimal command exploiting model of renewable resources based on effective utilization charge per unit and illustrates its solution numerically.
The newspaper by Northward. Zulkarnain et al. compares the performance of an active antiroll bar system in an automobile using two control models, namely, the linear quadratic Gaussian and the composite nonlinear feedback controller.
There are three works focusing on applications in economics and finance. The paper past J. Ma et al. studies the dynamics of an oligopoly model considering the output of an upstream monopoly and prices of ii downstream oligopolies; information technology is shown that the long-run boilerplate profits of the three firms are optimal in the region of stability of the Nash equilibrium point. The newspaper by D.-L. Sheng et al. uses the constant elasticity of variance model to describe the dynamics of the adventure asset and plant a Hamilton-Jacobi-Bellman equation to solve the associated optimal control problem. An asset and liability management trouble with stochastic interest rate is examined in the paper by H. Chang et al., who investigate an optimal investment strategy to maximize the expected utility of the final surplus.
Finally, the paper by C. Colapinto and E. Benecchi uses a dynamic diffusion model of a Television series to analyze the evolution of electronic media transmissions and suggest an optimal control model to assistance the decision-maker with an optimal solution that balances the investment in a program's popularity sustenance and profit maximization.
Davide La Torre
Herb Kunze
Manuel Ruiz-Galan
Tufail Malik
Simone Marsiglio
References
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Copyright
Copyright © 2015 Davide La Torre et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in whatever medium, provided the original work is properly cited.
Source: https://www.hindawi.com/journals/aaa/2015/890527/
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