Stability and Oscillations of Nonlinear Pulse-Modulated Systems

Inbunden, Engelska, 1998

AvArkadii Kh. Gelig,Alexander N. Churilov

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The mathematical methods for studying stability and oscillations in control systems with various types of pulse modulation (pulse-width, pulse-frequency, combined and phases in different modifications) are treated in this volume. The approaches developed by the authors include the averaging methods which enable the reader to extend pulse-modulated systems, to absolute stability theory and the fixed-point approach for study of forced oscillations. The book should be useful for researchers, engineers and professionals in control theory and applied mathematics working in the fields of control theory, functional differential equations, dynamical systems and pde's.

Produktinformation

Utgivningsdatum1998-08-25
Mått155 x 235 x 26 mm
Vikt740 g
FormatInbunden
SpråkEngelska
Antal sidor362
Upplaga1998
FörlagBirkhauser Boston Inc
ISBN9780817639877

Tillhör följande kategorier

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.