Chapter 2: Generalized Consensus in an Array of Nonlinear Dynamic Systems with Applications to Chaotic CNN

The following sections are included:

• Introduction

• Basic Concepts and Definitions

  • GC of an Array of Difference Systems

  • GC of an Array of Differential Systems

  • PGC of Non-autonomous Bidirectional CDADS

  • PGC of Non-autonomous Bidirectional CCADS

• GC Theorems for Discrete and Continuous Arrays of Dynamic Systems

  • GC Theorem for Discrete Arrays

  • GC Theorem for Discrete Bidirectional Arrays

  • GC Theorem for Discrete Non-autonomous Arrays

  • GC Theorem for Discrete Non-autonomous Bidirectional Arrays

  • GC Theorem for an Array of Differential Systems

  • GC Theorem for a Bidirectional Array of Differential Systems

  • GC Theorem for a Non-autonomous Array of Differential Systems

  • GC Theorem for a Non-autonomous Bidirectional Array of Differential Systems

  • PGC Theorem for Non-autonomous Bidirectional CDADS

  • PGC Theorem for Non-autonomous Bidirectional CCADS

• Application of GC Theorems

  • Application of GC Theorem to CDADS

  • Application of GC Theorem to Non-autonomous Bidirectional CDADS

  • Application of PGC Theorem to Non-autonomous Bidirectional CDADS

  • Application of GC Theorem to CCADS

  • Application of GC Theorem to Non-autonomous Bidirectional CCADS

  • Application of PGC Theorem to Non-autonomous Bidirectional CCADS

• Conclusions