Cantitate/Preț
Produs

Stability of Dynamical Systems: Systems & Control: Foundations & Applications

Autor Anthony N. Michel, Ling Hou, Derong Liu
en Limba Engleză Hardback – 10 apr 2015

Considerăm că această a doua ediție a lucrării Stability of Dynamical Systems reprezintă o resursă fundamentală pentru cercetarea avansată, fiind semnată de Anthony N. Michel, Ling Hou și Derong Liu. Autorii, nume de referință în mediul academic (cu o experiență consolidată anterior prin titluri precum Linear Systems sau Algebra and Analysis for Engineers and Scientists), propun o abordare integrată a analizei stabilității. Lucrarea se distinge prin rigoarea matematică aplicată unei game vaste de modele, de la sisteme în timp continuu și discret până la cele finit sau infinit dimensionale. Putem afirma că volumul extinde cadrul propus de Nonlinear Dynamical Systems and Control – A Lyapunov–Based Approach prin introducerea unor rezultate contemporane esențiale: utilizarea funcțiilor Lyapunov non-monotone. În timp ce abordările clasice se concentrează pe funcții monotone, această ediție recalibrează teoria pentru a răspunde complexității sistemelor moderne. De asemenea, spre deosebire de Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions, care se axează pe sisteme discontinue, lucrarea de față oferă o viziune de ansamblu ce unifică tratamentul sistemelor continue și discontinue sub o singură metodologie. Structura cursului este organizată progresiv: începe cu reprezentarea și modelarea sistemelor dinamice, continuă cu teoria stabilității Lyapunov și Lagrange definită pe spații metrice generale, pentru ca în final să detalieze specializările pentru dimensiuni finite și infinite. Această tranziție logică, susținută de exemple din controlul digital și rețele neuronale, transformă un subiect abstract într-un instrument de lucru aplicabil în inginerie și fizică.

Citește tot Restrânge

Din seria Systems & Control: Foundations & Applications

Preț: 68218 lei

Preț vechi: 93867 lei
-27%

Puncte Express: 1023

Carte indisponibilă temporar

Livrare prin curier în România Termenul estimat este afișat lângă disponibilitate.
Transport gratuit pentru acest produs Plată online sau ramburs, în funcție de opțiunile comenzii.
Retur gratuit în 14 zile Comandă securizată și suport în română.

Specificații

ISBN-13: 9783319152745
ISBN-10: 3319152742
Pagini: 672
Ilustrații: XVIII, 653 p. 60 illus., 14 illus. in color.
Dimensiuni: 160 x 241 x 42 mm
Greutate: 1.11 kg
Ediția:2nd edition 2015
Editura: birkhäuser
Colecția Systems & Control: Foundations & Applications
Seria Systems & Control: Foundations & Applications

Locul publicării:Cham, Switzerland

Public țintă

Graduate

De ce să citești această carte

Această ediție este esențială pentru studenții la masterat și doctorat, oferind o sinteză modernă a teoriei stabilității Lyapunov. Cititorul câștigă o înțelegere profundă atât a metodelor clasice, cât și a celor recente (funcții non-monotone), fiind un instrument indispensabil pentru cei care proiectează sisteme de control complexe, rețele neuronale sau sisteme de reglare neliniară.


Despre autor

Anthony N. Michel este un cercetător proeminent în domeniul sistemelor de control, cunoscut pentru contribuțiile sale teoretice riguroase. Alături de Ling Hou și Derong Liu, a dezvoltat o serie de lucrări de referință care fac puntea între analiza matematică pură și aplicațiile practice în inginerie. Opera sa, care include titluri precum Dynamical Systems with Saturation Nonlinearities, reflectă un interes constant pentru sinteza sistemelor de control și procesarea semnalelor, Anthony N. Michel fiind recunoscut de comunitatea internațională (IEEE) pentru calitatea didactică și profesionalismul expunerii materialelor tehnice complexe.


Cuprins

Introduction.- Dynamical Systems.- Fundamental Theory: The Principal Stability and Boundedness Results on Metric Spaces.-Fundamental Theory: Specialized Stability and Boundedness Results on Metric Spaces.- Applications to a Class of Discrete-Event Systems.- Finite-Dimensional Dynamical Systems.- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems.

Recenzii

“This new edition of the book by Michel, Hou, and Liu provides a scholarly and comprehensive view of Lyapunov stability that should be accessible to mathematically inclined graduate students and to many researchers in the control field. It is a welcome addition to the published literature.” (N. Harris McClamroch, IEEE Control Systems Magazine, Vol. 36 (1), February, 2016)
“This text have provided comprehensive sources for the materials and results on stability theory of all the dynamical systems … . The book also contains numerous problems and suggestions for further study at the end of the main chapters. … book will provide an excellent source of materials for graduate students studying the stability theory of dynamical systems, and for self-study by researchers and practitioners interested in the systems theory of engineering, physics, computer science, chemistry, life science, and economics.” (Olusola Akinyele, Mathematical Reviews, November, 2015)

Notă biografică

Panos J. Antsaklis received his Ph.D. in Electrical Engineering from Brown University, where he was a Fulbright Scholar. His main research interests are in the area of systems and control, particularly in linear feedback systems and intelligent autonomous control systems, with emphasis on hybrid and discrete event systems and reconfigurable control. He is currently Professor of Electrical Engineering at the University of Notre Dame. He has held regular and visiting teaching and research positions at Imperial College of the University of London, Brown University, Rice University, MIT, the National Technical University of Athens, and the Technical University of Crete, Greece. Dr. Antsaklis has been awarded a departmental outstanding teacher award and has been a keynote speaker at a number of conferences. He is also a Distinguished Lecturer of the IEEE Control Systems Society. Dr. Antsaklis has authored a number of publications in journals, conference proceedings, and books and has coedited five books as well. He has served on the editorial boards of several journals, including the IEEE Transactions on Automatic Control, IEEE Transactions on Neural Networks, and the Journal of Discrete Event Dynamic Systems, and he has been the guest editor of special issues in these and other journals. Dr. Ansaklis has served as program chair and general chair of major systems and control conferences, and he is an IEEE Fellow and the 1997 President of the IEEE Control Systems Society. Anthony N. Michel holds a Ph.D. in Electrical Engineering from Marquette University, as well as a D.Sc. in Applied Mathematics from the Technical University of Graz, Austria. He has extensive industrial and academic experience, and his main research interests are in control systems, circuit theory, neural networks, and applied mathematics. He is currently the Frank M. Freiman Professor of Electrical Engineering and Dean of theCollege of Engineering at the University of Notre Dame. Dr. Michel has coauthored five books as well as a number of journal articles, conference proceedings, and conference books. He is a former editor of the IEEE Transactions on Circuits and Systems, and he has held a variety of positions on the editorial boards of the IEEE Transactions on Automatic Control, IEEE Transactions on Neural Networks, Circuits, Systems and Signal Processing, and Neurocomputing, as well as other journals. He is a past president of the IEEE Circuits and Systems Society and has served on the executive committees of several professional organizations. Dr. Michel is also the recipient of numerous professional awards. He is a Fellow of the IEEE. In 1984 he received the IEEE Centennial Medal, and he also earned three IEEE paper prizes. He spent 1992 as a Fulbright Scholar at the Technical University of Vienna, and, most recently, he received the 1995 Technical Achievement Award of the IEEE Circuits and Systems Society.

Textul de pe ultima copertă

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems.  For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonicLyapunov functions.Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks.
 
The authors cover the following four general topics:
 
-          Representation and modeling of dynamical systems of the types described above
-          Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions
-          Specialization of this stability theory to finite-dimensional dynamical systems
-          Specialization of this stability theory to infinite-dimensional dynamical systems
 
Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this bookcan be used as a textbook for graduate courses in stability theory of dynamical systems.  It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.
 
Review of the First Edition:
 
“The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems.  [This] is a very interesting bookwhich complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.”
 
- Alessandro Astolfi, IEEE Control Systems Magazine, February 2009

Caracteristici

Second edition of the first unified book covering the analysis of all the major types of dynamical systems models Exercises and minimal prerequisites make the work suitable as a textbook for graduate courses in stability theory of dynamical systems Real-world applications to manufacturing, computer load balancing problems, and many more Includes supplementary material: sn.pub/extras