Optimal Impulsive Control

Aram Vladimirovich Arutyunov is Full Professor at Moscow State University and RUDN University. He is an expert in Nonlinear Analysis, extremum problems theory and optimal control theory. He developed first and second order necessary and sufficient optimality conditions for abnormal optimization problems. He obtained a nondegenerate maximum principle for optimal control problems with state constraints. He also developed coincidence points theory in metric spaces. He is the author of 5 monographs and textbooks as well as more than 150 scientific articles.Dmitry Yurjevich Karamzin is Leading Researcher at the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia. He received both his Ph.D. and D.Sc. degrees in Control Theory from Moscow State University. His scientific interests are in the fields of Nonlinear Analysis, Optimization and Optimal Control. He is the author of approximately 50 research articles. Dmitry Karamzin is also an associate member of the research team at the SYSTEC Research Unit, DEEC/FEUP (University of Porto).Fernando Lobo Pereira is Full Professor at the Electrical Computer Engineering Department of Porto University, Scientific Coordinator of the SYSTEC Research Unit, and Director of the Institute for System and Robotics Porto. He received his Ph.D. degree in Control Theory from Imperial College of Science and Technology from London University, and the Habilitation Title in Automation and Control from Porto University. His research work falls in the following areas: Control Theory (Non-smooth Analysis, Dynamic Optimization, Impulsive Control), Hybrid Systems, and Coordinated Control, and their application in cyber physical frameworks for networks of robotic vehicles and for advanced manufacturing systems. He is the author of more than 50 research articles in topics pertinent to the book. He has been involved in a large number of European and national research problems and has been both an expert adviser to EU regarding the follow up of funded research projects and an evaluator of EU R&D and national (FCT) research and grant proposals.

“This book is certainly an excellent example of how to write a book in control theory, by carefully discussing the main issues, by presenting motivating examples, by adding nice exercises, and by avoiding generality per se.” (Giovanni Colombo, Mathematical Reviews, November, 2019)

• Introduction.- Linear Impulsive Control Problems.- Impulsive Control Problems under Borel Measurability.- Impulsive Control Problems under the Frobenius Condition.- Impulsive Control Problems without the Frobenius Condition.- Impulsive Control Problems with State Constraints.- Impulsive Control Problems with Mixed Constraints.- General Nonlinear Impulsive Control Problems.