Advertisement

Stability and Oscillations of Nonlinear Pulse-Modulated Systems

  • Arkadii Kh. Gelig
  • Alexander N. Churilov
Book

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 1-27
  3. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 29-49
  4. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 51-96
  5. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 97-127
  6. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 129-167
  7. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 169-210
  8. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 211-232
  9. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 233-249
  10. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 251-269
  11. Arkadii Kh. Gelig, Alexander N. Churilov
    Pages 271-297
  12. Back Matter
    Pages 299-362

About this book

Introduction

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.

Keywords

Control engineering applied math/optimization communication equation function nonlinear science theorem

Authors and affiliations

  • Arkadii Kh. Gelig
    • 1
  • Alexander N. Churilov
    • 2
  1. 1.Department of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Department of Computer ScienceSt. Petersburg Marine Technical UniversitySt. PetersburgRussia

Bibliographic information