Update cookies preferences

Generalized Synchronization And Generalized Consensus Of System Arrays [Hardback]

(Univ Of Sci & Tech Beijing, China), (City Univ Of Hong Kong, China)
Other books in subject:
  • Hardback
  • Price: 97,30 €
  • This book is not in stock. Book will arrive in about 2-4 weeks. Please allow another 2 weeks for shipping outside Estonia.
  • Quantity:
  • Add to basket
  • Delivery time 4-6 weeks
  • Add to Wishlist
Generalized Synchronization And Generalized Consensus Of System ArraysLarger Image
Other books in subject:
Permanent link: https://www.kriso.ee/db/9789811214271.html

What is synchronization? This book will show how the concept of closeness of states or frequencies between two dynamical systems has evolved from synchronization to consensus. Part 1 introduces the concepts and mathematical descriptions of Generalized Synchronization (GS) while Part 2 covers Generalized Consensus (GC). It is suitable for researchers and practitioners undertaking the studies of synchronization and consensus of multi-agent systems, graduate students and senior undergraduate students with the backgrounds in calculus, linear algebra and ordinary differential equations, equipped with computer programming skills, in mathematics, physics, engineering and even social sciences.

Preface vii
1 Generalized Synchronization in Coupled Array Systems
1(76)
1.1 Introduction
1(2)
1.2 Basic Concepts and Definitions
3(17)
1.2.1 GS of a Discrete Array of Difference Systems
4(6)
1.2.2 GS of a Continuous Array of Differential Systems
10(6)
1.2.3 PGS of Non-autonomous Bidirectional CDADS
16(2)
1.2.4 PGS of Non-autonomous Bidirectional CCADS
18(2)
1.3 GS Theorems for Discrete and Continuous Arrays of Dynamic Systems
20(13)
1.3.1 GS Theorem for Discrete Arrays
20(1)
1.3.2 GS Theorem for Bidirectional Discrete Arrays
21(1)
1.3.3 GS Theorem for Non-autonomous Discrete Arrays
22(1)
1.3.4 GS Theorem for Non-autonomous Bidirectional Discrete Arrays
23(1)
1.3.5 GS Theorem for an Array of Differential Systems
24(1)
1.3.6 GS Theorem for a Bidirectional Array of Differential Systems
25(2)
1.3.7 GS Theorem for a Non-autonomous Array of Differential Systems
27(2)
1.3.8 GS Theorem for a Non-autonomous Bidirectional Array of Differential Systems
29(3)
1.3.9 PGC Theorem for Non-autonomous Bidirectional CDADS 31.3.10 PGS Theorem for Non-autonomous Bidirectional CCADS
32(1)
1.4 Application of GS Theorems
33(39)
1.4.1 Application of GS Theorem to CDADS
33(7)
1.4.2 Application of GS Theorem to Non-autonomous CDADS
40(5)
1.4.3 Application of GS Theorem to Non-autonomous Bidirectional CDADS
45(4)
1.4.4 Application of GS Theorem to Bidirectional CCADS
49(5)
1.4.5 Application of GS Theorem to Non-autonomous Bidirectional CCADS
54(6)
1.4.6 Application of PGS Theorem to Non-autonomous Bidirectional CDADS
60(8)
1.4.7 Application of PGS Theorem to Non-autonomous Bidirectional CCADS
68(4)
1.5 Conclusions
72(5)
2 Generalized Consensus in Coupled Array Systems
77(58)
2.1 Introduction
77(1)
2.2 Basic Concepts and Definitions
78(5)
2.2.1 GC of an Array of Difference Systems
79(1)
2.2.2 GC of an Array of Differential Systems
80(2)
2.2.3 PGC of Non-autonomous Bidirectional CDADS
82(1)
2.2.4 PGC of Non-autonomous Bidirectional CCADS
83(1)
2.3 GC Theorems for Discrete and Continuous Arrays of Dynamic Systems
83(15)
2.3.1 GC Theorem for Discrete Arrays
83(2)
2.3.2 GC Theorem for Discrete Bidirectional Arrays
85(1)
2.3.3 GC Theorem for Discrete Non-autonomous Arrays
86(1)
2.3.4 GC Theorem for Discrete Non-autonomous Bidirectional Arrays
87(1)
2.3.5 GC Theorem for an Array of Differential Systems
88(1)
2.3.6 GC Theorem for a Bidirectional Array of Differential Systems
89(2)
2.3.7 GC Theorem for a Non-autonomous Array of Differential Systems
91(2)
2.3.8 GC Theorem for a Non-autonomous Bidirectional Array of Differential Systems
93(1)
2.3.9 PGC Theorem for Non-autonomous Bidirectional CDADS
94(2)
2.3.10 PGC Theorem for Non-autonomous Bidirectional CCADS
96(2)
2.4 Application of GC Theorems
98(34)
2.4.1 Application of GC Theorem to CDADS
98(5)
2.4.2 Application of GC Theorem to Non-autonomous Bidirectional CDADS
103(3)
2.4.3 Application of PGC Theorem to Non-autonomous Bidirectional CDADS
106(7)
2.4.4 Application of GC Theorem to CCADS
113(5)
2.4.5 Application of GC Theorem to Non-autonomous Bidirectional CCADS
118(8)
2.4.6 Application of PGC Theorem to Non-autonomous Bidirectional CCADS
126(6)
2.5 Conclusions
132(3)
3 Conclusions
135(4)
Bibliography 139(6)
Index 145