Dynamical Systems with Saturation Nonlinearities

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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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.

• Asymptotic Stability
• Control Systems
• Digital Filters
• Nonlinear Dynamical Systems
• Signal
• artificial neural networks
• calculus
• control
• control system
• design
• dynamical systems
• dynamische Systeme
• neural networks
• signal processing
• stability

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