Nonlinear Pinning Control of Complex Dynamical Networks: Analysis and Applications

ISBN-13: 9781032020877 / Angielski / Twarda / 2021 / 202 str.

Edgar N. Sanchez; Carlos J. Vega; Oscar J. Suarez

Opis

The book presents two nonlinear control strategies for complex dynamical networks. First, sliding-mode control is used, and then the inverse optimal control approach is employed. This book contains mathematical analysis, simulation examples, and real applications for the proposed schemes.

Spis treści

I Analyses and Preliminaries
1 Introduction
1.1 Complex Dynamical Networks
1.2 Pinning Control
1.3 Sliding-Mode Control
1.4 Optimal Nonlinear Control
1.5 Artificial Neural Networks
1.6 Gene Regulatory Networks
1.7 Microgrids
1.8 Motivation
1.9 Book Structure
1.10 Notation
1.11 Acronyms
Bibliography

2 Preliminaries
2.1 Nonlinear Systems Stability
2.2 Chaotic Systems
2.3 Complex Dynamical Networks
2.4 Sliding-Mode Control
2.5 Optimal Control
2.6 Recurrent  High-Order Neural Networks
Bibliography

II Sliding-Mode Control
3 Model-Based Control
3.1 Sliding-Mode Pinning Control
3.2 Simulation Results
3.3 Conclusions
Bibliography

4 Neural Model
4.1 Formulation
4.2 Neural Identifier
4.3 Output Synchronization
4.4 Simulation Results
4.5 Conclusions
Bibliography

III Optimal Control
5 Model-Based Control
5.1 Trajectory Tracking  of Complex Networks
5.2 Non-Identical Nodes
5.3 Conclusions
Bibliography

6 Neural Model
6.1 Trajectory Tracking  of Complex Networks
6.2 Non-Identical Nodes
6.3 Discrete-Time Case
6.4 Conclusions
Bibliography

IV Applications
7 Pinning Control for the p53-Mdm2 Network
7.1 p53-Mdm2 Model Regulated  by p14ARF
7.2 Mathematical  Description
7.3 Pinning Control Methodology
7.4 Behaviors of the p53-Mdm2 Network  Regulated  by  p14ARF without Control Action
7.5 Behaviors of the p53-Mdm2 Network Regulated by p14ARF with Control Action
7.6 Conclusions
Bibliography

8 Secondary Control of Microgrids
8.1 Microgrid Control Structure
8.2 Distributed  Cooperative Secondary Control
8.3 Simulation Results
8.4 Conclusions
Bibliography
Index