03658nam 2200529Ia 450 991043805790332120200520144314.03-319-00933-810.1007/978-3-319-00933-9(OCoLC)849293545(MiFhGG)GVRL6XFL(CKB)2560000000104437(MiAaPQ)EBC1317252(EXLCZ)99256000000010443720130507d2013 uy 0engurun|---uuuuatxtccrAdvances in the theory and applications of non-integer order systems 5th Conference on Non-Integer Order Calculus and its Applications Cracow, Poland /Wojciech Mitkowski, Janusz Kacprzyk, Jerzy Baranowski, editors1st ed. 2013.New York Springer20131 online resource (xv, 323 pages) illustrations (some color)Lecture Notes in Electrical Engineering ;257"ISSN: 1876-1100."3-319-03298-4 3-319-00932-X Includes bibliographical references and index.Part I Realization Problem -- Part II Stability -- Part III Controllability, Observability and Optimal Control -- Part IV Distributed Parameter Systems -- Part V Solutions and approximations -- Part VI Applications.This volume presents various aspects of non-integer order systems, also known as fractional systems, which have recently attracted an increasing attention in the scientific community of systems science, applied mathematics, control theory. Non-integer systems have become relevant for many fields of science and technology exemplified by the modeling of signal transmission, electric noise, dielectric polarization, heat transfer, electrochemical reactions, thermal processes,  acoustics, etc. The content is divided into six parts, every of which considers one of the currently relevant problems. In the first part the Realization problem is discussed, with a special focus on positive systems. The second part considers stability of certain classes of non-integer order systems with and without delays. The third part is focused on such important aspects as controllability, observability and optimization especially in discrete time. The fourth part is focused on distributed systems where non-integer calculus leads to new and interesting results. The next part considers problems of solutions and approximations of non-integer order equations and systems. The final and most extensive part is devoted to applications. Problems from mechatronics, biomedical engineering, robotics and others are all analyzed and solved with tools from fractional systems. This volume came to fruition thanks to high level of talks and interesting discussions at RRNR 2013 - 5th Conference on Non-integer Order Calculus and its Applications that took place at AGH University of Science and Technology in Kraków, Poland, which was organized by the Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering.Lecture notes in electrical engineering ;volume 257.CalculusCalculus, IntegralCalculus.Calculus, Integral.620Mitkowski Wojciech1752955Kacprzyk Janusz21367Baranowski Jerzy1752956MiAaPQMiAaPQMiAaPQBOOK9910438057903321Advances in the theory and applications of non-integer order systems4188468UNINA