Optimization and Control Techniques and Applications

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Honglei Xu, Kok Lay Teo, Yi Zhang
Springer, Jun 26, 2014 - Mathematics - 269 pages

This book presents advances in state-of-the-art solution methods and their applications to real life practical problems in optimization, control and operations research. Contributions from world-class experts in the field are collated here in two parts, dealing first with optimization and control theory and then with techniques and applications.

Topics covered in the first part include control theory on infinite dimensional Banach spaces, history-dependent inclusion and linear programming complexity theory. Chapters also explore the use of approximations of Hamilton-Jacobi-Bellman inequality for solving periodic optimization problems and look at multi-objective semi-infinite optimization problems and production planning problems.

In the second part, the authors address techniques and applications of optimization and control in a variety of disciplines, such as chaos synchronization, facial expression recognition and dynamic input-output economic models. Other applications considered here include image retrieval, natural earth satellites orbital transfers, snap-back repellers and modern logistic systems.

Readers will learn of advances in optimization, control and operations research, as well as potential new avenues of research and development. The book will appeal to scientific researchers, mathematicians and all specialists interested in the latest advances in optimization and control.

 

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Contents

Part 1
3
Part 2
25
3 A Class of HistoryDependent Inclusions with Applications to Contact Problems
45
4 On the Number of Solutions Generated by the Simplex Method for LP
75
5 Use of Approximations of HamiltonJacobiBellman Inequality for Solving Periodic Optimization Problems
91
6 On Proper Efficiency in Multiobjective Semiinfinite Optimization
115
7 Using Penalty in Mathematical Decomposition for ProductionPlanning to Accommodate Clearing Function Constraints of Capacity
136
Part II Techniques and Applications
150
8 Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques
151
9 The Uncorrelated and Discriminant Colour Space for Facial Expression Recognition
167
10 Admissibility Analyses for Dynamic InputOutput Economic Models with Multiple Delays
178
11 Content Based Image Retrieval Using Local Directional Pattern and Color Histogram
197
12 TimeMinimal Orbital Transfers to TemporarilyCaptured Natural Earth Satellites
212
13 A Chaotic Particle Swarm Optimization Exploiting SnapBack Repellers of a PerturbationBased System
237
14 Modeling and Analysis of the Cyber Infrastructure for Vehicle Route Optimization
254
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About the author (2014)

Professor Honglei Xu' research interests include theory and applications of nonlinear control and systems engineering.

Professor Kok Lay Teo's research interests include both the theoretical and numerical aspects of optimal control and optimization, and their practical applications such as signal processing in telecommunications and financial portfolio optimization.

Professor Yi Zhang’s research interests include hybrid systems and their applications.