Neural Networks Modeling and Control

Chapter 2

Mathematical preliminaries

Abstract

This chapter introduces the following concepts: uncertain nonlinear systems in discrete time with unknown delays, recurrent high-order neural networks, and training based on the EKF. These topics are frequently mentioned in the following chapters.

Keywords

neural identifier; time delay systems; extended Kalman filter; neural identification; neural state estimation

Chapter Outline

• 2.1  Time delay systems
  • 2.1.1  Delay
  • 2.1.2  System with time delay
  • 2.1.3  Nonlinear discrete system with time delays
• 2.2  Recurrent high-order neural networks
  • 2.2.1  Discrete high-order recurrent neural networks
  • 2.2.2  Extended Kalman filter training

Chapter points

• •  Uncertain nonlinear systems
• •  High-order neural networks

2.1 Time delay ...