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Perturbation (Mathematics)

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

    CRC Press 2011; US$ 119.95

    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$ 99.50

    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$ 129.99

    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...

  • Constructions of Strict Lyapunov Functionsby Michael Malisoff; Frédéric Mazenc

    Springer 2009; US$ 159.99

    The construction of strict Lyapunov functions is a challenging problem that is of significant research interest. This title contains a repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. more...

  • Weak Linksby Peter Csermely

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2009; US$ 54.99

    Why do women stabilize our societies? Why can we enjoy and understand Shakespeare? Why is Mona Lisa's smile beautiful? Is there any answer to these questions? The author (recipient of several science communication prizes) uses weak (low affinity, probability) interactions as a thread to introduce a variety of networks from proteins to ecosystems. more...

  • Applications of Nonlinear Dynamicsby Visarath In; Patrick Longhini; Antonio Palacios

    Springer 2008; US$ 129.00

    Includes such examples as complex networks of magnetic sensor systems, coupled nano-mechanical oscillators, nano-detectors, microscale devices, stochastic resonance in multi-dimensional chaotic systems, biosensors, and stochastic signal quantization. more...

  • Perturbation Methodsby Ali H. Nayfeh

    Wiley 2008; US$ 122.00

    The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W.... more...

  • Stability of Dynamical Systemsby Xiaoxin Liao; L.Q. Wang; P. Yu

    Elsevier Science 2007; US$ 175.00

    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... more...

  • Singular Perturbation Theoryby Robin Johnson

    Springer 2006; US$ 129.99

    The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics, and combustion... more...

  • Linear Discrete Parabolic Problemsby Nikolai Bakaev

    Elsevier Science 2005; US$ 170.00

    This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives... more...