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Dynamical Systems with Saturation Nonlinearities

Analysis and Design

  • Book
  • © 1994

Overview

Editors:
  1. Derong Liu
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  2. Anthony N. Michel
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Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 195)

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Table of contents (11 chapters)

  1. Front Matter

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  2. Introduction to dynamical systems with saturation nonlinearities

    Pages 1-8

  3. Qualitative theory of control systems with control constraints and state saturation: Two fundamental issues

    Pages 9-19

  4. Asymptotic stability of dynamical systems with state saturation

    Pages 20-36

  5. Null controllability of discrete-time dynamical systems with control constraints and state saturation

    Pages 37-49

  6. Stability analysis of one-dimensional and multidimesional state-space digital filters with overflow nonlinearities

    Pages 51-59

  7. Criteria for the absence of overflow oscillations in fixed-point digital filters using generalized overflow characteristics

    Pages 60-76

  8. Stability analysis of state-space realizations for multidimensional filters with overflow nonlinearities

    Pages 77-102

  9. Introduction to part III

    Pages 105-113

  10. Analysis and synthesis of a class of neural networks with piecewise linear saturation activation functions

    Pages 114-130

  11. Sparsely interconnected neural networks for associative memories with applications to cellular neural networks

    Pages 131-153

  12. Robustness analysis of a class sparsely interconnected neural networks with applications to design problem

    Pages 154-176

  13. Back Matter

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Keywords

About this book

This three-part monograph addresses topics in the areas of control systems, signal processing and neural networks. Procedures and results are determined which constitute the first successful synthesis procedure for associative memories by means of artificial neural networks with arbitrarily pre-specified full or partial interconnecting structure and with or without symmetry constraints for the connection matrix.

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