© The Institution of Engineering and Technology
In this study, the authors consider the problem of Nash equilibrium solutions of multiagent game of information warfare in complex networks, of which the inner dynamics are nonlinear, the interactions among vertex states are with time delays, and vertex states are also with persistent disturbances. A successive approximation approach is used to obtain an optimal control law for different agents in the network systems. An illustration example is presented to demonstrate the characteristic of multiagent game in networks.
References


1)

A.L. Barabasi ,
R. Albert
.
Emergence of scaling in random networks.
Science
,
509 
511

2)

S.H. Strogatz
.
Exploring complex networks.
Nature
,
268 
276

3)

Z. Dezsö ,
E. Almaas ,
A. Lukás ,
B. Rácz ,
I. Szakadát ,
A.L. Barabási
.
Dynamics of information access on the web.
Phys. Rev. E

4)

M. Makeev ,
I. Deréyi ,
A. Barabási
.
Emergence of largescale vorticity during diffusion in a random potential under an alternating bias.
Phys. Rev. E

5)

Y. Dai ,
Y. Cai ,
X. Xu
.
Synchronization analysis and impulsive control of complex networks with coupling delays.
IET Control Theory Appl.
,
1167 
1174

6)

J. Zhou ,
J. Lü
.
Adaptive snchronization of an uncertain complex dynamical network.
IEEE Trans. Autom. Control

7)

J. Lü ,
G. Chen
.
A timevarying complex dynamical network model and its controlled synchronization criteria.
IEEE Trans. Autom. Control

8)

A. Hu ,
Z. Xu
.
Pinning a complex dynamical network via impulsive control.
Phys. Lett. A

9)

W. Xiong ,
D. Ho ,
C. Huang
.
Pinning synchronization of timevarying polytopic directed stochastic networks.
Phys. Lett. A

10)

W. Yua ,
G. Chena ,
J. Lü
.
On pinning synchronization of complex dynamical networks.
Automatica
,
429 
435

11)

Li, X., Wang, X., Chen, G.: `Synchronizaion in complex dynamical networksand it’s applications', Conf. Growing Networks and Graphics in Statistical Physics, Finance, Biology and Social Systems, 2003, Roma.

12)

A. Arenas ,
A. DíazGuilera ,
J. Kurths ,
Y. Moreno ,
C. Zhou
.
Synchronization in complex networks.
Phys. Rep.

13)

C. Li ,
G. Chen
.
Synchronization in general complex dynamical networks with coupling delays.
Physica A

14)

J. Zhou ,
T. Chen
.
Synchronization in general complex delayed dynamical networks.
IEEE Trans. Circuits Syst.

15)

X. Wang ,
Y. Cheng
.
Synchronization of the nondelayed and delayed coupling complex network via adaptive controlling.
Int. J. Nonlinear Sci.

16)

A. Bressan
.
From optimal control to noncooperative differential games: a homotopy approach.
Control Cybern. A

17)

S. Hamilton ,
W. Miller ,
A. Ott ,
O. Saydjari
.
The role of game theory in information warfare.

18)

He, W., Xia, C., Wang, H., Zhang, C., Ji, Y.: `A game theoretical attackdefense model oriented to network security risk assessment', Int. Conf. Computer Science and Software Engineering, 2008.

19)

E. Altman ,
T. Basar ,
T. Jimenez ,
N. Shimkin
.
Competitive routing in networks with polynomial costs.
IEEE Trans. Autom. Control

20)

Alpcan, T., Basar, T.: `A gametheoretic framework for congestion control in general topology networks', Proc. 41st IEEE Conf. Decision and Control, 2002.

21)

G. Stein
.
(1996)
Information attack: information warfare in 2025.

22)

G. Tang ,
Y. Zhao
.
Optimal control for nonlinear timedelay systems with persistent disturbances.
J. Optim. Theory Appl.

23)

E. Altman ,
T. Basar ,
R. Srikant
.
Nash equilibria for combined flow control and routing in networks: asymptotic behavior for a large number of users.
IEEE Trans. Autom. Control

24)

E. Vaisbord
.
An approximate method for the synthesis of optimal control.
Autom. Remote Control

25)

G. Tang ,
D. Gao
.
Feedforward and feedback optimal control for linear systems with persistent disturbances.
J. Syst. Simul.

26)

Z. Aganovic ,
Z. Gajic
.
The successive approximation procedure for finitetime optimal control of bilinear systems.
IEEE Trans. Autom. Control
,
9 ,
1932 
1935

27)

C. Darwin
.
(1966)
On the origin of species.

28)

J.M. Smith
.
(1982)
Evolution and the theory of games.
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