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Stability and Oscillations of Nonlinear Pulse-Modulated Systems

✍ Scribed by Arkadii Kh. Gelig, Alexander N. Churilov (auth.)


Publisher
Birkhäuser Basel
Year
1998
Tongue
English
Leaves
367
Edition
1
Category
Library

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✦ Synopsis


There are two main fields of application of pulse-modulated sys­ tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed­ attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at­ tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse­ width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo­ dulated control, is often embarrassed by the sophisticated mathe­ matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu­ lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.

✦ Table of Contents


Front Matter....Pages i-xvi
Mathematical Description of Pulse-Modulated Systems....Pages 1-27
Stability of Equilibria. Miscellaneous Methods....Pages 29-49
Stability of Equilibria. Averaging Method....Pages 51-96
Stability of Processes. Averaging Method....Pages 97-127
Forced Periodic Oscillations. Method of Equations of Periods....Pages 129-167
Oscillations of PWM Systems. Fixed-Point Method....Pages 169-210
Oscillations of PFM Systems.Fixed-Point Method....Pages 211-232
Periodic Oscillations. Method of Harmonic Balance and Its Justification....Pages 233-249
Auto-Oscillations in Pulse Modulated Systems....Pages 251-269
Pulse-Width Modulated Systems of Phase Synchronization....Pages 271-297
Back Matter....Pages 299-362

✦ Subjects


Appl.Mathematics/Computational Methods of Engineering; Mathematics, general


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