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Mixed-Integer Representations in Control Design

Part of the SpringerBriefs in Electrical and Computer Engineering Book Series

DOI: 10.1007/978-3-319-26995-5

ISBN: 978-3-319-26993-1

Publisher: Springer International Publishing - Springer Journals

Nov 26, 2015

Available

Introduction

Prodan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian

Pages: 1 –9

[This book focuses on a class of control problems that can be translated to an optimization-based decision over a feasible region which is neither convex nor compact.]
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Non-convex Region Description by Hyperplane Arrangements

Prodan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian

Pages: 11 –34

[This chapter presents some prerequisites and basic notions which will be instrumental in the rest of the manuscript.]
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Mixed-Integer Representations

Prodan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian

Pages: 35 –56

[As already mentioned, optimizationMixed-integer representations problems over non-convex regions are a well established topic.]
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Control Problems Involving Mixed-Integer Decision MakingMulti-agent control problem

Prodan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian

Pages: 57 –89

[This chapter validates the results presented in the previous chapters over two well-known and still largely open classes of control problems.]
Available

Conclusions

Prodan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian

Pages: 91 –93

[The work summarized in this book develops and brings to light new insights in the use of mixed-integer formulations to efficiently describe non-convex and non-connected regions appearing in a wide range of applications in control theory.]

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