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Piecewise Linear Dynamical Systems
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Book Synopsis Piecewise-smooth Dynamical Systems by : Mario Bernardo
Download or read book Piecewise-smooth Dynamical Systems written by Mario Bernardo and published by Springer Science & Business Media. This book was released on 2008-01-01 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level. Almost no mathematical background is assumed other than basic calculus and algebra.
Book Synopsis The Analysis of Piecewise Linear Dynamical Systems by : N.B.O.L. Pettit
Download or read book The Analysis of Piecewise Linear Dynamical Systems written by N.B.O.L. Pettit and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Piecewise Linear Dynamical Systems by : Njal Brian Opicho Lenzing Pettit
Download or read book Analysis of Piecewise Linear Dynamical Systems written by Njal Brian Opicho Lenzing Pettit and published by Research Studies PressLtd. This book was released on 1995 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book arises out of a growing awareness of the need to study hybrid systems which mix continuous dynamic behaviour with discrete events. This is driven by the increasing occurrence of large complex systems coupled with a demand to improve reliability and performance of such systems. However, at present no tools exist to analyse and design these types of system other than simulation, prototyping and engineering experience. One important class of hybrid systems is that of piecewise linear dynamical systems, as these encompass systems with nonlinearities such as saturation and hysteresis together with controllers that use logic such as rule-based controllers, programmable logic controllers and gain scheduled controllers. This book presents an analysis technique for studying piecewise linear systems and extracting information such as global stability and the interaction of the system dynamics and controller logic.
Book Synopsis Piecewise Linear Dynamical Systems by : Mustafa Şaylı
Download or read book Piecewise Linear Dynamical Systems written by Mustafa Şaylı and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis of Large Scale Piecewise Linear Dynamical Systems by : Theodoros D. Manavis
Download or read book Analysis of Large Scale Piecewise Linear Dynamical Systems written by Theodoros D. Manavis and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complementarity Methods in the Analysis of Piecewise Linear Dynamical Systems by : Mehmet Kanat Çamlıbel
Download or read book Complementarity Methods in the Analysis of Piecewise Linear Dynamical Systems written by Mehmet Kanat Çamlıbel and published by . This book was released on 2001 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Analysis of Piecewise Linear Dynamical Systems by : V.A. Gaiko
Download or read book Global Analysis of Piecewise Linear Dynamical Systems written by V.A. Gaiko and published by . This book was released on 2007 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcations and Chaos in Piecewise-smooth Dynamical Systems by : Zhanybai T. Zhusubaliyev
Download or read book Bifurcations and Chaos in Piecewise-smooth Dynamical Systems written by Zhanybai T. Zhusubaliyev and published by World Scientific. This book was released on 2003 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technical problems often lead to differential equations with piecewise-smooth right-hand sides. Problems in mechanical engineering, for instance, violate the requirements of smoothness if they involve collisions, finite clearances, or stick-slip phenomena. Systems of this type can display a large variety of complicated bifurcation scenarios that still lack a detailed description.This book presents some of the fascinating new phenomena that one can observe in piecewise-smooth dynamical systems. The practical significance of these phenomena is demonstrated through a series of well-documented and realistic applications to switching power converters, relay systems, and different types of pulse-width modulated control systems. Other examples are derived from mechanical engineering, digital electronics, and economic business-cycle theory.The topics considered in the book include abrupt transitions associated with modified period-doubling, saddle-node and Hopf bifurcations, the interplay between classical bifurcations and border-collision bifurcations, truncated bifurcation scenarios, period-tripling and -quadrupling bifurcations, multiple-choice bifurcations, new types of direct transitions to chaos, and torus destruction in nonsmooth systems.In spite of its orientation towards engineering problems, the book addresses theoretical and numerical problems in sufficient detail to be of interest to nonlinear scientists in general.
Book Synopsis A Generalised Phase Portrait for Piecewise Linear Dynamical Systems by : R. Wilson-Jones
Download or read book A Generalised Phase Portrait for Piecewise Linear Dynamical Systems written by R. Wilson-Jones and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Design of Piecewise Linear Hybrid Dynamical Systems by : Xenofon D. Koutsoukos
Download or read book Analysis and Design of Piecewise Linear Hybrid Dynamical Systems written by Xenofon D. Koutsoukos and published by . This book was released on 2000 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Piecewise Linear Modeling and Analysis by : Domine Leenaerts
Download or read book Piecewise Linear Modeling and Analysis written by Domine Leenaerts and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Piecewise Linear (PL) approximation of non-linear behaviour is a well-known technique in synthesis and analysis of electrical networks. However, the PL description should be efficient in data storage and the description should allow simple retrieval of the stored information. Furthermore, it would be useful if the model description could handle a large class of piecewise linear mappings. Piecewise Linear Modeling and Analysis explains in detail all possible model descriptions for efficiently storing piecewise linear functions, starting with the Chua descriptions. Detailed explanation on how the model parameter can be obtained for a given mapping is provided and demonstrated by examples. The models are ranked to compare them and to show which model can handle the largest class of PL mappings. All model descriptions are implicitly related to the Linear Complementarity Problem and most solution techniques for this problem, like Katzenelson and Lemke, are discussed according to examples that are explained in detail. To analyse PL electrical networks a simulator is mandatory. Piecewise Linear Modeling and Analysis provides a detailed outline of a possible PL simulator, including pseudo-programming code. Several simulation domains like transient, AC and distortion are discussed. The book explains the attractive features of PL simulators with respect to mixed-level and mixed-signal simulation while paying due regard also to hierarchical simulation. Piecewise Linear Modeling and Analysis shows in detail how many existing components in electrical networks can be modeled. These range from digital logic and analog basic elements such as transistors to complex systems like Phase-Locked Loops and detection systems. Simulation results are also provided. The book concludes with a discussion on how to find multiple solutions for PL functions or networks. Again, the most common techniques are outlined using clear examples. Piecewise Linear Modeling and Analysis is an indispensable guide for researchers and designers interested in network theory, network synthesis and network analysis.
Book Synopsis Control and Estimation of Piecewise Affine Systems by : Jun Xu
Download or read book Control and Estimation of Piecewise Affine Systems written by Jun Xu and published by Elsevier. This book was released on 2014-04-21 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a powerful tool to study nonlinear systems and hybrid systems, piecewise affine (PWA) systems have been widely applied to mechanical systems. Control and Estimation of Piecewise Affine Systems presents several research findings relating to the control and estimation of PWA systems in one unified view. Chapters in this title discuss stability results of PWA systems, using piecewise quadratic Lyapunov functions and piecewise homogeneous polynomial Lyapunov functions. Explicit necessary and sufficient conditions for the controllability and reachability of a class of PWA systems are considered along with controller and estimator design methods for PWA systems using linear matrix inequality (LMI) and bilinear matrix inequality (BMI) techniques. A PWA approach to a class of Takagi-Sugeno fuzzy system is discussed in depth. The book uses a number of mechanical systems, such as disk servo systems to illustrate the advantages of the proposed methods. Provides new insights on properties of PWA systems, including stability, stabilizability, reachability and controllability Presents a unified framework for analysis and synthesis of both continuous-time and discrete-time PWA systems Presents novel approaches for stability analysis and control design based on the promising SOS techniques
Book Synopsis Introduction to the Qualitative Theory of Differential Systems by : Jaume Llibre
Download or read book Introduction to the Qualitative Theory of Differential Systems written by Jaume Llibre and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists.
Book Synopsis Analysis of Piecewise Linear Dynamical Systems by : Njal Brian Opicho Lenzing Pettit
Download or read book Analysis of Piecewise Linear Dynamical Systems written by Njal Brian Opicho Lenzing Pettit and published by Wiley-Blackwell. This book was released on 1995 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first edition, Insiders' Guide to El Paso is the essential source for in-depth travel and relocation information to this legendary Texas panhandle area with wild west charm. Written by a local (and true insider), this guide offers a personal and practical perspective of El Paso and its surrounding environs.
Book Synopsis Hybrid Systems: Computation and Control by : Nancy Lynch
Download or read book Hybrid Systems: Computation and Control written by Nancy Lynch and published by Springer Science & Business Media. This book was released on 2000-03-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Hybrid Systems: Computation and Control, HSCC 2000, held in Pittsburgh, PA, USA in March 2000. The 32 revised full papers presented together with abstracts of four invited talks were carefully reviewed and selected from a total of 71 papers submitted. The focus of the works presented is on modeling, control, synthesis, design and verification of hybrid systems. Among the application areas covered are control of electromechanical systems, air traffic control, control of automated freeways, and chemical process control.
