Multi-dimensional Control Problems

Robust Approach

Anurag Jayswal, Preeti, Savin Treanţӑ (Autoren)

Buch | Softcover

186 Seiten

2023 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-6563-0 (ISBN)

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This book deals with several types of multi-dimensional control problems in the face of data uncertainty for vector cases—multi-dimensional multi-objective control problem with uncertain objective functionals, uncertain constraint functionals, and uncertain objective as well as constraint functionals, uncertain multi-dimensional multi-objective control problem with semi-infinite constraints, uncertain dual multi-dimensional multi-objective variational control problem, and second-order PDE&PDI constrained robust optimization problem. The book provides the solution approaches—an exact l1 penalty function approach, modified objective approach, robust approach—in the simplest way to solve the recent developing optimization problems in the sense of uncertainty.

ANURAG JAYSWAL is an associate professor at the Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines) Dhanbad, India. He earned his Ph.D. degree in mathematics from Banaras Hindu University, Varanasi, India. He obtained his master in mathematics from same university and was awarded first order of merit. He received a young scientist project from the Department of Science and Technology, Government of India. He has more than 15 years of teaching experience at Birla Institute of Technology (BIT) Mesra, Ranchi, India, and IIT (ISM) Dhanbad, India. His research interest is in continuous optimization, nonsmooth optimization, generalized convexity, control theory, and variational inequalities problems. He is the author and coauthor of more than 100 research papers in the field of continuous optimization and variational inequalities and has supervised more than 10 Ph.D. students. He is on the editorial board of OPSEARCH and Advancesin Variational Inequalities. He visited several countries to deliver their talks in international conferences. He is a reviewer of various international journals. PREETI is an assistant professor at the Department of Applied Science and Humanities, Inderprastha Engineering College, Ghaziabad, India. She completed her Ph.D. degree in mathematics from the Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines) Dhanbad, India. Her research interest is in multi-time optimization problem, generalized convexity, and control theory. She has published many scientific papers on these topics in various prominent journals. SAVIN TREANTA is a lecturer at the Department of Applied Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, Romania. His research interests include optimization theory, control theory, nonlinear and variational analysis, geometric partial differential equations, and information theory. He haspublished more than 80 scientific papers on these topics in various prestigious journals.

Preface.- Glossary of Notations.- Chapter 1. Introduction.- Chapter 2. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective Functional.- Chapter 3. Multi-dimensional Variational Control Problem with Data Uncertainty in Constraint Functionals.- Chapter 4. Multi-dimensional Variational Control Problem with Data Uncertainty in Objective and Constraint Functionals.- Chapter 5. The Modified Approach for Multi-dimensional Optimization Problem with Data Uncertainty.- Chapter 6. Semi-infinite Multi-dimensional Variational Control Problem with Data Uncertainty.- Chapter 7. Robust Duality for Multi-dimensional Variational Control Problem with Data Uncertainty.- Chapter 8. On a Class of Second-order PDE&PDI Constrained Robust Optimization Problems.- Bibliography.

Erscheinungsdatum	01.11.2023
Reihe/Serie	Industrial and Applied Mathematics
Zusatzinfo	1 Illustrations, black and white; XV, 186 p. 1 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik
	Technik ► Maschinenbau
Schlagworte	Control problem • Convexity • Dynamical system • First-order PDE • Modified Objective Function Method • Multi-dimensional Problem • Multiobjective Optimization Problem • Penalty Function Method • Robust Saddle-point • Semi-infinite Problem • uncertain data • Weak Robust Efficient Solution
ISBN-10	981-19-6563-3 / 9811965633
ISBN-13	978-981-19-6563-0 / 9789811965630
Zustand	Neuware