Optimal Impulsive Control: The Extension Approach
рмбрм┐рм╕рнЗрморнНрммрм░ 2018 ┬╖ Springer
рмЗрммрнБрмХрнН
174
рмкрнГрм╖рнНрмарм╛рмЧрнБрнЬрм┐рмХ
рмПрм╣рм┐ рмЗрммрнБрмХрнН рммрм┐рм╖рнЯрм░рнЗ
Optimal Impulsive Control explores the class of impulsive dynamic optimization problemsтАФproblems that stem from the fact that many conventional optimal control problems do not have a solution in the classical settingтАФwhich is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist.
The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of PontryaginтАЩs maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints.
The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of PontryaginтАЩs maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints.
The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.
Optimal Impulsive Control explores the class of impulsive dynamic optimization problemsтАФproblems that stem from the fact that many conventional optimal control problems do not have a solution in the classical settingтАФwhich is highly relevant with regard to engineering applications. The absence of...
рмЕрмзрм┐рмХ рмбрм┐рм╕рнНрмХрмнрм░ рмХрм░рмирнНрмдрнБ
рм▓рнЗрмЦрмХрмЩрнНрмХ рммрм┐рм╖рнЯрм░рнЗ
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 тАЬComputer Science and ControlтАЭ 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.
Dmitry Yurjevich Karamzin is Leading Researcher at the Federal Research Center тАЬComputer Science and ControlтАЭ 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.
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 p...
рмПрм╣рм┐ рмЗрммрнБрмХрнНтАНрмХрнБ рморнВрм▓рнНрнЯрм╛рмЩрнНрмХрми рмХрм░рмирнНрмдрнБ
рмЖрмкрмг рмХрмг рмнрм╛рммрнБрмЫрмирнНрмдрм┐ рмдрм╛рм╣рм╛ рмЖрмормХрнБ рмЬрмгрм╛рмирнНрмдрнБред
рмкрнЭрм┐рммрм╛ рмкрм╛рмЗрмБ рмдрмернНрнЯ
рм╕рнНрморм╛рм░рнНрмЯрмлрнЛрми рмУ рмЯрм╛рммрм▓рнЗрмЯ
Google Play Books рмЖрмкрнНрмХрнБ, Android рмУ iPad/iPhone рмкрм╛рмЗрмБ рмЗрмирм╖рнНрмЯрм▓рнН рмХрм░рмирнНрмдрнБред рмПрм╣рм╛ рм╕рнНрм╡рмЪрм╛рм│рм┐рмд рмнрм╛рммрнЗ рмЖрмкрмгрмЩрнНрмХ рмЖрмХрм╛рмЙрмгрнНрмЯрм░рнЗ рм╕рм┐рмЩрнНрмХ рм╣рнЛтАНрмЗрмпрм┐рмм рмПрммрмВ рмЖрмкрмг рмпрнЗрмЙрмБрмарм┐ рмерм╛рмЖрмирнНрмдрнБ рмирм╛ рмХрм╛рм╣рм┐рмБрмХрм┐ рмЖрмирм▓рм╛рмЗрмирнН рмХрм┐рморнНрммрм╛ рмЕрмлрм▓рм╛рмЗрмирнНтАНрм░рнЗ рмкрнЭрм┐рммрм╛ рмкрм╛рмЗрмБ рмЕрмирнБрмормдрм┐ рмжрнЗрммред
рм▓рм╛рмкрмЯрмк рмУ рмХрморнНрмкрнНрнЯрнБрмЯрм░
рмирм┐рмЬрм░ рмХрморнНрмкрнНрнЯрнБрмЯрм░рнНтАНрм░рнЗ рмерм┐рммрм╛ рн▒рнЗрммрнН рммрнНрм░рм╛рмЙрмЬрм░рнНтАНрмХрнБ рммрнНрнЯрммрм╣рм╛рм░ рмХрм░рм┐ Google Playрм░рнБ рмХрм┐рмгрм┐рмерм┐рммрм╛ рмЕрмбрм┐рмУрммрнБрмХрнНтАНрмХрнБ рмЖрмкрмг рм╢рнБрмгрм┐рмкрм╛рм░рм┐рммрнЗред
рмЗ-рм░рм┐рмбрм░рнН рмУ рмЕрмирнНрнЯ рмбрм┐рмнрм╛рмЗрм╕рнНтАНрмЧрнБрнЬрм┐рмХ
Kobo eReaders рмкрм░рм┐ e-ink рмбрм┐рмнрм╛рмЗрм╕рмЧрнБрмбрм╝рм┐рмХрм░рнЗ рмкрмврм╝рм┐рммрм╛ рмкрм╛рмЗрмБ, рмЖрмкрмгрмЩрнНрмХрнБ рмПрмХ рмлрм╛рмЗрм▓ рмбрм╛рмЙрмирм▓рнЛрмб рмХрм░рм┐ рмПрм╣рм╛рмХрнБ рмЖрмкрмгрмЩрнНрмХ рмбрм┐рмнрм╛рмЗрм╕рмХрнБ рмЯрнНрм░рм╛рмирнНрм╕рмлрм░ рмХрм░рм┐рммрм╛рмХрнБ рм╣рнЗрммред рм╕рморм░рнНрмерм┐рмд eReadersрмХрнБ рмлрм╛рмЗрм▓рмЧрнБрмбрм╝рм┐рмХ рмЯрнНрм░рм╛рмирнНрм╕рмлрм░ рмХрм░рм┐рммрм╛ рмкрм╛рмЗрмБ рм╕рм╣рм╛рнЯрмдрм╛ рмХрнЗрмирнНрмжрнНрм░рм░рнЗ рмерм┐рммрм╛ рм╕рммрм┐рм╢рнЗрм╖ рмирм┐рм░рнНрмжрнНрмжрнЗрм╢рм╛рммрм│рнАрмХрнБ рмЕрмирнБрм╕рм░рмг рмХрм░рмирнНрмдрнБред
