Nonlinear hybrid continuous/discrete-time models

The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They bo...

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Hlavní autor: Akhmet, Marat
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Paris : Atlantis Press 2011.
Cham : Springer Nature
Edice:Atlantis Studies in Mathematics for Engineering and Science 8
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Edition sous un autre format:• Nonlinear Hybrid Continuous/Discrete-Time Models, Texte imprimé, 9789491216381
• Nonlinear Hybrid Continuous/Discrete-Time Models, Texte imprimé, 9789491216046
• Nonlinear Hybrid Continuous/Discrete-Time Models, by Marat Akhmet, Amsterdam, Atlantis Press, 2011, Atlantis Studies in Mathematics for Engineering and Science, 978-94-9121602-2
Obsah:
  • 1. Introduction
  • 2. Linear and quasi-linear systems with piecewise constant argument
  • 3. The reduction principle for systems with piecewise constant argument
  • 4. The small parameter and differential equations with piecewise constant argument
  • 5. Stability
  • 6. The state-dependent piecewise constant argument
  • 7. Almost periodic solutions
  • 8. Stability of neural networks
  • 9. The blood pressure distribution
  • 10. Integrate-and-fire biological oscillators.