Optimal Impulsive Control

The Extension Approach

Nonfiction, Science & Nature, Technology, Automation, Mathematics, Calculus
Cover of the book Optimal Impulsive Control by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira ISBN: 9783030022600
Publisher: Springer International Publishing Publication: December 17, 2018
Imprint: Springer Language: English
Author: Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
ISBN: 9783030022600
Publisher: Springer International Publishing
Publication: December 17, 2018
Imprint: Springer
Language: English

Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which 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 Pontryagin’s 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which 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 Pontryagin’s 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.

More books from Springer International Publishing

Cover of the book Computer Vision Analysis of Image Motion by Variational Methods by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book ZnO Thin-Film Transistors for Cost-Efficient Flexible Electronics by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Evolutionary Algorithms and Neural Networks by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Urbanization: Challenge and Opportunity for Soil Functions and Ecosystem Services by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Guide to Modeling and Simulation of Systems of Systems by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Reliability, Safety, and Security of Railway Systems. Modelling, Analysis, Verification, and Certification by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book The Digital Synaptic Neural Substrate by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Advances in Mathematical Modeling, Optimization and Optimal Control by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Excitation Energies and Properties of Open-Shell Singlet Molecules by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Feeling and Value, Willing and Action by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Physical and Data-Link Security Techniques for Future Communication Systems by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book The Socio-Economic Impact of Migration Flows by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Evanescent Waves in Optics by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book PET/CT in Lymphomas by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
Cover of the book Paul J. Crutzen: A Pioneer on Atmospheric Chemistry and Climate Change in the Anthropocene by Aram Arutyunov, Dmitry Karamzin, Fernando Lobo Pereira
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy