### Synopses & Reviews

Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. "Optimization and Optimal Control: Theory and Applications" brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems. The book is composed of invited contributions by experts from around the world who work with optimization and optimal control either at a theoretical level or in practice. Some key topics presented include: equilibrium problems, stochastic processes, decision algorithms, scheduling, queuing theory, quantum computing, agriculture, and industrial operations. This volume can serve as a useful resource for researchers, practitioners, and advanced graduate students of mathematics and engineering working in research areas where results in optimization and optimal control can be applied.

#### Synopsis

During the last four decades there has been a remarkable development in optimization and optimal control. Due to its wide variety of applications, many scientists and researchers have paid attention to fields of optimization and optimal control. A huge number of new theoretical, algorithmic, and computational results have been observed in the last few years. This book gives the latest advances, and due to the rapid development of these fields, there are no other recent publications on the same topics.

Key features:

Provides a collection of selected contributions giving a state-of-the-art account of recent developments in the field

Covers a broad range of topics in optimization and optimal control, including unique applications

Includes chapters written by experts in their respective disciplines

Appeals to a broad audience of researchers, practitioners, and advanced graduate students in applied mathematics and engineering

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

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Optimization and optimal control

### About the Author

Prof. Pardalos is a distinguished Springer author and recognized throughout the world as a first rate mathematician. Prof. Rentsen has an extensive CV and list of publications, and he has organized the first and second International Conference for Optimization and Optimal Control (2002, 2007) in Mongolia. (We might be able to possibly do a bulk sale for his book for the 3rd international conference.) Pardalos, Tseveendorj, Enkhbat have edited a volume together before with World Scientific. "Optimization and Optimal Control" (World Scientific, 978-9812385970, $106, 2003) Prof. Chinchuluun has recently helped Pardalos with another optimization edited volume which will be available in 2008.

### Table of Contents

Perturbation Methods in Optimal Control Problems, Alexander S. Buldaev.- General Quadratic Programming and its Applications in Response Surface Analysis, Rentsen Enkhbat and Yadam Bazarsad.- A Nonlinear Optimal Control Approach to Process Scheduling, Fabio D. Fagundez, João Lauro D. Facó, and Adilson E. Xavier.- Hadamard's Matrices, Grothendieck's Constant and Root Two, Dominique Fortin.- Canonical Dual Solutions for Fixed Cost Quadratic Programs, David Yang Gao, Ning Ruan, and Hanif D. Sherali.- Stochastic Optimal Control with Applications in Financial Engineering, Hans P. Geering, Florian Herzog, and Gabriel Dondi.- Post-Optimal Analysis of Linear Semi-Infinite Programs, Miguel A. Goberna.- On the pasture territories covering maximal grass, Haltar Damba, Vladimir M. Tikhomirov, and Konstantin Y. Osipenko.- On Solvability of the Rate Control Problem in Wired-cum-Wireless Networks, Won-Joo Hwang, Le Cong Loi and Rentsen Enkhbat.- Scalarly Compactness, (S)+-type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces, George Isac.- On Equilibrium Problems, Gábor Kassay.- Generalized Solutions of Multi-Valued Monotone Quasi-Variational Inequalities, Baasansuren Jadamba, Akhtar A. Khan, Fabio Racitii, and Behzad Djafari Rouhani.- Online Adaptive Optimal Control Based on Reinforcement Learning, Draguna Vrabie and Frank Lewis.- Polynomially Solvable Cases of Binary Quadratic Programs, Duan Li, Xiaoling Sun, Shenshen Gu, Jianjun Gao, and Chunli Liu.- Algorithms of Quasidifferentiable Optimization for the Separation of Point Sets, Bernd Luderer and Denny Wagner.- Analysis of Differential Inclusions: Feedback Control Method, Vyacheslav Maksimov.- A Hybrid Evolutionary Algorithm for Global Optimization, Mend-Amar Majig, Abdel-Rahman Hedar, and Masao Fukushima.- Integer Programming of Biclustering Based on Graph Models, Neng Fan, Altannar Chinchuluun, and Panos M. Pardalos.- A Random Arrival Time Best-Choice Problem with Uniform Prior on the Number of Arrivals, Mitsushi Tamaki and Qi Wang.- Quasi-Equilibrium Inclusion Problems of the Blum-Oettli Type and Related Problems, Nguyen Xuan Tan and Lai-Jiu Lin.- Optimal Feedback Control for Stochastic Impulsive Linear Systems Subject to Poisson Processes, Zhi Guo Feng and Kok Lay Teo.- Gap Functions for Vector Equilibrium Problems via Conjugate Duality, Lkhamsuren Altangerel and Gert Wanka.- A game theoretic algorithm to solve Riccati and Hamilton-Jacobi-Bellman-Isaacs (HJBI) equations in H∞ control, Brian D. O. Anderson, Yantao Feng and Weitian Chen.- Sensibility Function as Convolution of System of Optimization Problems, Anatoly Antipin.