Aristide Halanay, Vladimir Rasvan

Stability and Stable Oscillations in Discrete Time Systems

• Gebundenes Buch

Produktbeschreibung

The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 300
• Erscheinungstermin: 31. Oktober 2000
• Englisch
• Abmessung: 235mm x 157mm x 21mm
• Gewicht: 588g
• ISBN-13: 9789056996710
• ISBN-10: 9056996711
• Artikelnr.: 21451623

Autorenporträt

Aristide Halanay, Vladimir Rasvan

Inhaltsangabe

Part I: Introduction 1. Models with Discrete Storage of the Information 2.
Discrete-Time Models Induced by Impulses Occurring in Continous Time
Systems 3. Discrete Systems Occourring from Sampled Data Control Systems 4.
Numerical Treatment of Continous-Time Systems II: Stability Theory 5.
Linear Discrete Time Systems with Constant Coefficients 6. General
Properties of Linear Systems 7. Stability by the First Approximation 8.
Linear Discrete-Time Systems with Periodic Coefficients 9. Liapunov
Functions 10. Invariance Principle. Barbashin-Krasovskii-La Salle Theorem
11. Stability in Discrete Models of Chemical Kinetics 12. Stability Results
in Neurodynamics 13. Stability Via Input/Output Properties III: Absolute
Stability of Control Systems 14. The Simplist Absolute Stability Criterion
of Ya. Z. Tsypkin 15. More Special Classes of Nonlinearities; Quadratic
Constraints of Yakubovich Type 16. An Absolute Stability Criterion for the
Case of Nondecreasing Nonlinearity 17. The Brockett-Willems Type Criterion
for Systems with Nondecreasing Nonlinearity 18. Liapunov Functions and
Frequency Domain Inequalities in Absolute Stability. The Lemma of
Kalman-Szego-Popov-Yakubovich (Single Input Case) 19. A New Condition of
Absolute Stability for Systems with Slope Restricted Nonlinearity 20. The
Kalman-Szego-Popov-Yakubovich Result for Multi-Input Systems 21. Absolute
Stability Conditions for Systems with Several Nonlinearities IV: Stable
Oscillations 22. Periodic Solutions of Forced Linear Systems with Periodic
Coefficiencients (Forced Oscillations) 23. Almost Periodic Sequences 24.
Forced Almost Periodic Oscillations 25. Linear Systems in a Product Space.
Stable Invariant Surfaces 26. Nonlinear Periodic and Almost Periodic
Oscillations 27. Invariant Manifolds for Nonlinear Systems in a Product
Space 28. Frequency Domain Conditions for Stable Oscillations of Control
Systems 4. Stable Oscillations