Stability and Oscillations of Nonlinear Pulse-Modulated Systems için kapak resmi
Stability and Oscillations of Nonlinear Pulse-Modulated Systems
Başlık:
Stability and Oscillations of Nonlinear Pulse-Modulated Systems
ISBN:
9781461217602
Personal Author:
Edition:
1st ed. 1998.
Yayın Bilgileri:
Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1998.
Fiziksel Tanımlama:
XVI, 362 p. online resource.
Contents:
1 Mathematical Description of Pulse-Modulated Systems -- 2 Stability of Equilibria. Miscellaneous Methods -- 3 Stability of Equilibria. Averaging Method -- 4 Stability of Processes. Averaging Method -- 5 Forced Periodic Oscillations. Method of Equations of Periods -- 6 Oscillations of PWM Systems. Fixed-Point Method -- 7 Oscillations of PFM Systems. Fixed-Point Method -- 8 Method of Harmonic Balance and Its Justification -- 9 Auto-Oscillations in Pulse Modulated Systems -- 10 Pulse-Width Modulated Systems of Phase Synchro¬nization -- A.1 Controllability, Observability, Nondegeneracy, Hurwitz -- Property -- A.2 Lyapunov Matrix Equation and Inertia Theorems.. -- A.3 Kalman-Yakubovich Lemma -- A.4 Auxiliary Statements Related to the Kalman-Yaku-bovich Lemma -- A.5 Estimates of a Functional -- A.6 Solvability of Matrix Inequalities (PWM Systems) -- A.7 Solvability of Matrix Inequalities (PFM Systems) -- A.8 Positive Kernels of Integral Equations -- A.9 Stability of Systems with Integral Quadratic Bounds -- A.10 Miscellaneous Statements -- References.
Abstract:
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.
Added Author:
Dil:
English