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Author : Hsiao-Dong Chiang,Luís F. C. Alberto
Publisher : Cambridge University Press
Page : 483 pages
File Size : 40,5 Mb
Release : 2015-08-13
Category : Mathematics
ISBN : 9781107035409
An authoritative treatment by leading researchers covering theory and optimal estimation, along with practical applications.
Author : Saejoon Kim
Publisher : Unknown
Page : 164 pages
File Size : 47,6 Mb
Release : 1996
Category : Electronic
ISBN : CORNELL:31924072966736
Author : Xiaoxin Liao,L.Q. Wang,P. Yu
Publisher : Elsevier
Page : 719 pages
File Size : 44,7 Mb
Release : 2007-08-01
Category : Mathematics
ISBN : 9780080550619
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers
Author : J. P. LaSalle
Publisher : SIAM
Page : 81 pages
File Size : 53,7 Mb
Release : 1976-01-01
Category : Mathematics
ISBN : 9780898710229
An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.
Author : Zhendong Sun,Shuzhi Sam Ge
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 51,9 Mb
Release : 2011-01-06
Category : Technology & Engineering
ISBN : 9780857292568
There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.
Author : Wassim M. Haddad,VijaySekhar Chellaboina
Publisher : Princeton University Press
Page : 975 pages
File Size : 41,5 Mb
Release : 2011-09-19
Category : Mathematics
ISBN : 9781400841042
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Author : Peter A. Cook
Publisher : Prentice Hall
Page : 234 pages
File Size : 45,6 Mb
Release : 1986
Category : Science
ISBN : UOM:39015011188730
Author : Mark Edelman,Elbert E. N. Macau,Miguel A. F. Sanjuan
Publisher : Springer
Page : 315 pages
File Size : 54,8 Mb
Release : 2017-11-17
Category : Science
ISBN : 9783319681092
The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.
Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 49,6 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author : Wassim M. Haddad,Sergey G. Nersesov
Publisher : Princeton University Press
Page : 389 pages
File Size : 55,7 Mb
Release : 2011-11-14
Category : Mathematics
ISBN : 9781400842667
Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures. Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control. This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.
Author : Mansour Eslami
Publisher : Springer Science & Business Media
Page : 601 pages
File Size : 48,6 Mb
Release : 2013-11-09
Category : Technology & Engineering
ISBN : 9783662016329
This book provides a comprehensive treatment of the development and present state of the theory of sensitivity of dynamic systems. It is intended as a textbook and reference for researchers and scientists in electrical engineering, control and information theory as well as for mathematicians. The extensive and structured bibliography provides an overview of the literature in the field and points out directions for further research.
Author : Kotik K Lee
Publisher : World Scientific
Page : 479 pages
File Size : 44,6 Mb
Release : 1992-05-14
Category : Mathematics
ISBN : 9789814507271
The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.
Author : Hsiao-Dong Chiang
Publisher : Unknown
Page : 328 pages
File Size : 46,7 Mb
Release : 1986
Category : Electronic
ISBN : UCAL:C2928798
Author : Junichi Yokota
Publisher : Unknown
Page : 60 pages
File Size : 43,8 Mb
Release : 1995
Category : Electronic
ISBN : CORNELL:31924083790208
Author : Albert C. J. Luo
Publisher : Springer Nature
Page : 418 pages
File Size : 54,9 Mb
Release : 2020-01-30
Category : Mathematics
ISBN : 9783030229108
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control. Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums; Discusses dynamics of infinite-equilibrium systems; Demonstrates higher-order singularity.
