Quantitative Local Analysis of Nonlinear Systems
Author: Ufuk Topcu
Publisher:
Published: 2008
Total Pages: 316
ISBN-13:
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Nonlinear Systems Analysis
Author: M. Vidyasagar
Publisher: SIAM
Published: 2002-01-01
Total Pages: 515
ISBN-13: 9780898719185
DOWNLOAD EBOOKWhen M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.
Qualitative and Quantitative Analysis of Nonlinear Systems
Author: Michael Z. Zgurovsky
Publisher: Springer
Published: 2017-07-11
Total Pages: 265
ISBN-13: 3319598406
DOWNLOAD EBOOKHere, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
Methods Of Qualitative Theory In Nonlinear Dynamics (Part I)
Author: Leonid P Shilnikov
Publisher: World Scientific
Published: 1998-12-08
Total Pages: 418
ISBN-13: 9814496421
DOWNLOAD EBOOKBifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form.In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced students of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
Optimization Based Clearance of Flight Control Laws
Author: Andreas Varga
Publisher: Springer
Published: 2011-11-23
Total Pages: 453
ISBN-13: 3642226272
DOWNLOAD EBOOKThis book summarizes the main achievements of the EC funded 6th Framework Program project COFCLUO – Clearance of Flight Control Laws Using Optimization. This project successfully contributed to the achievement of a top-level objective to meet society’s needs for a more efficient, safer and environmentally friendly air transport by providing new techniques and tools for the clearance of flight control laws. This is an important part of the certification and qualification process of an aircraft – a costly and time-consuming process for the aeronautical industry. The overall objective of the COFCLUO project was to develop and apply optimization techniques to the clearance of flight control laws in order to improve efficiency and reliability. In the book, the new techniques are explained and benchmarked against traditional techniques currently used by the industry. The new techniques build on mathematical criteria derived from the certification and qualification requirements together with suitable models of the aircraft. The development of these criteria and models are also presented in the book. Because of wider applicability, the optimization-based clearance of flight control laws will open up the possibility to design innovative aircraft that today are out of the scope using classical clearance tools. Optimization-based clearance will not only increase safety but it will also simplify the whole certification and qualification process, thus significantly reduce cost. The achieved speedup will also support rapid modeling and prototyping and reduce “time to market”.
Applied Nonlinear Control
Author: Jean-Jacques E. Slotine
Publisher:
Published: 1991
Total Pages: 461
ISBN-13: 9780130400499
DOWNLOAD EBOOKIn this work, the authors present a global perspective on the methods available for analysis and design of non-linear control systems and detail specific applications. They provide a tutorial exposition of the major non-linear systems analysis techniques followed by a discussion of available non-linear design methods.
On the Use of Algebraic Methods in the Analysis and Design of Model-following Control Systems
Author: Heinz Erzberger
Publisher:
Published: 1968
Total Pages: 36
ISBN-13:
DOWNLOAD EBOOKNetworks of Dissipative Systems
Author: Murat Arcak
Publisher: Springer
Published: 2016-03-01
Total Pages: 105
ISBN-13: 331929928X
DOWNLOAD EBOOKThis book addresses a major problem for today’s large-scale networked systems: certification of the required stability and performance properties using analytical and computational models. On the basis of illustrative case studies, it demonstrates the applicability of theoretical methods to biological networks, vehicle fleets, and Internet congestion control. Rather than tackle the network as a whole —an approach that severely limits the ability of existing methods to cope with large numbers of physical components— the book develops a compositional approach that derives network-level guarantees from key structural properties of the components and their interactions. The foundational tool in this approach is the established dissipativity theory, which is reviewed in the first chapter and supplemented with modern computational techniques. The book blends this theory with the authors’ recent research efforts at a level that is accessible to graduate students and practising engineers familiar with only the most basic nonlinear systems concepts. Code associated with the numerical examples can be downloaded at extras.springer.com, allowing readers to reproduce the examples and become acquainted with the relevant software.
An Introduction to Dynamical Systems and Chaos
Author: G. C. Layek
Publisher: Springer Nature
Published:
Total Pages: 701
ISBN-13: 9819976952
DOWNLOAD EBOOKNormal Modes and Localization in Nonlinear Systems
Author: Alexander F. Vakakis
Publisher: John Wiley & Sons
Published: 2008-07-11
Total Pages: 552
ISBN-13: 3527617876
DOWNLOAD EBOOKThis landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
