Document Type
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BL
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Record Number
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878052
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Main Entry
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Damarla, Seshu K.
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Title & Author
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Fractional order processes : : simulation, identification, and control /\ by Seshu Kumar Damarla and Madhusree Kundu.
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Publication Statement
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Boca Raton, FL :: CRC Press/Taylor & Francis Group,, [2019]
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, ©2019
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Page. NO
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1 online resource (xxiii, 339 pages)
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ISBN
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0429504438
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: 0429996896
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: 9780429504433
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: 9780429996894
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1138586749
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9781138586741
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Bibliographies/Indexes
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Includes bibliographical references and index.
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Contents
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Mathematical postulations -- Numerical method for simulation of physical processes represented by weakly singular Fredholm, Volterra, and Volterra-Fredholm integral equations -- Numerical method for simulation of physical processes modeled by Abel's integral equations -- Numerial method for simulation of physical processes described by fractional-order integro-differential equations -- Numerical method for simulation of physical processes represented by stiff and nonstiff fractional-order differential equations, and differential-algebraic equations -- Numerical method for simulation of fractional diffusion-wave equation -- Identification of fractional order linear and nonlinear systems from experimental or simulated data -- Design of fractional order controllers using triangular strip operational matrices -- Rational integer order system approximation for irrational fractional order systems -- Numerical method for solving fractional-order optimal control problems.
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Abstract
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The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO PID controller exhibiting iso-damping property during re-parameterization of a plant, is devised in the book. A new numerical method to find an equivalent finite dimensional integer order system for an infinite dimensional FO system is developed in the book. The book also introduces a numerical method to solve FO optimal control problems.
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Subject
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Chaotic behavior in systems-- Mathematical models.
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Subject
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Fractional calculus.
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Subject
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Intelligent control systems-- Mathematics.
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Subject
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Chaotic behavior in systems-- Mathematical models.
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Subject
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Fractional calculus.
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Subject
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MATHEMATICS-- Calculus.
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Subject
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MATHEMATICS-- Mathematical Analysis.
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Dewey Classification
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515/.83
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LC Classification
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QA314.D295 2019eb
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Added Entry
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Kundu, Madhusree
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