Aristide Halanay, Vladimir Rasvan

Stability and Stable Oscillations in Discrete Time Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

The expertise of a professional mathmatician and a theoretical engineer provides a fresh perspective of stability and stable oscillations. The current state of affairs in stability theory, absolute stability of control systems, and stable oscillations of both periodic and almost periodic discrete systems is presented, including many applications in

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 296
• Erscheinungstermin: 31. Oktober 2000
• Englisch
• ISBN-13: 9781482283280
• Artikelnr.: 57902791

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