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Perturbation (Mathematics)

  • Robust Filtering for Uncertain Systemsby Huijun Gao; Xianwei Li

    Springer 2014; US$ 109.00

    This monograph provides the reader with a systematic treatment of robust filter design, a key issue in systems, control and signal processing, because of the fact that the inevitable presence of uncertainty in system and signal models often degrades the filtering performance and may even cause instability. The methods described are therefore not subject... more...

  • Lyapunov-type Inequalitiesby Juan Pablo Pinasco

    Springer 2013; US$ 54.99

    ?The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of  eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations. For p=2, the coupling and the order of the equations... more...

  • Asymptotic Analysis and Perturbation Theoryby William Paulsen

    Taylor and Francis 2013; US$ 109.95

    Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals. Suitable for those who have completed the standard calculus sequence, the book assumes no prior knowledge... more...

  • Nonconservative Stability Problems of Modern Physicsby Oleg N. Kirillov

    De Gruyter 2013; US$ 182.00

    This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.The book shall serve to present and prospective specialists providing the current... more...

  • Introduction to Perturbation Methodsby Mark H. Holmes

    Springer 2013; US$ 79.95

    This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers... more...

  • A Vector Approach To Oscillationsby Henry G. Booker

    Elsevier Science 2012; US$ 31.95

    A Vector Approach to Oscillations focuses on the processes in handling oscillations. Divided into four chapters, the book opens with discussions on the technique of handling oscillations. Included in the discussions are the addition and subtraction of oscillations using vectors; the square root of two vectors; the role of vector algebra in oscillation... more...

  • Uncertain Dynamical Systemsby A.A. Martynyuk; Yu. A. Martynyuk-Chernienko

    Taylor and Francis 2011; US$ 129.95

    This self-contained book provides systematic instructive analysis of uncertain systems of the following types: ordinary differential equations, impulsive equations, equations on time scales, singularly perturbed differential equations, and set differential equations. Each chapter contains new conditions of stability of unperturbed motion of the above-mentioned... more...

  • Stability and Control of Large-Scale Dynamical Systemsby Wassim M. Haddad; Sergey G. Nersesov

    Princeton University Press 2011; US$ 105.00

    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... more...

  • Stability and Stabilization of Nonlinear Systemsby Iasson Karafyllis; Zhong-Ping Jiang

    Springer 2011; US$ 209.00

    Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability... more...

  • Erklärung von Preisverhalten am Nicht-Leben-Rückversicherungsmarkt anhand von nichtlinearen und rückgekoppelten Systemenby Christian Wolter; Elmar Helten; Andreas Richter

    Verlag Versicherungswirtschaft 2010; US$ 39.68

    Die Grundidee und das Ziel des vorliegenden Buches ist es, ein Modell aufzubauen, welches das Verhalten der Marktpreise am Nicht-Leben-Rückversicherungsmarkt und speziell das Phänomen der Versicherungszyklen erklären kann. Um dies zu erreichen, werden in der vorliegenden Arbeit sechs Schritte durchgeführt. 1. Beschreibung des Phänomens der Versicherungszyklen... more...