Finitetime optimal consensus control for secondorder multiagent systems
Pages: 929  943,
Issue 3,
July
2014
doi:10.3934/jimo.2014.10.929 Abstract
References
Full text (622.3K)
Related Articles
Rui Li  School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China (email)
Yingjing Shi  School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu, China (email)
1 
E. A. Blanchard, R. C. Loxton and V. Rehbock, A computational algorithm for a class of nonsmooth optimal control problems arising in aquaculture operations, Applied Mathematics and Computation, 219 (2013), 87388746. 

2 
Y. C. Cao and W. Ren, Optimal linearconsensus algorithms: An LQR perspective, IEEE Transactions on Systems, Man, and Cybernetics Part B: Cybernetics, 40 (2010), 810830. 

3 
R. Carli, G. Como, P. Frasca and F. Garin, Distributed averaging on digital erasure networks, Automatica J. IFAC, 47 (2011), 115121. 

4 
T. Dierks, Formation Control of Mobile Robots and Unmanmed Aerial Vehicles, Ph.D thesis, Missouri University of Science and Technology, 2009. 

5 
J. Fax and M. Murray, Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49 (2004), 14651476. 

6 
V. Gazi and K. M. Passino, Stability analysis of social foraging swarms, IEEE Transactions on Systems Man Cybernet., 34 (2004), 539557. 

7 
V. Gupta, V. Hassibi and R. M. Murray, On sensor fusion in the presence of packetdropping communication channels, in 44th IEEE Conference on Decision and Control, 2005, 35473552. 

8 
D. Jakovetic, J. Xavier and J. M. F. Moura, Cooperative convex optimization in networked systems: Augmented Lagrangian algorithms with directed Gossip communication, IEEE Transactions on Signal Processing, 59 (2011), 38893902. 

9 
C. H. Jiang, Q. Lin, C. J. Yu, K. L. Teo and G.R. Duan, An exact penalty method for free terminal time optimal control problem with continuous inequality constraints, J. Optim. Theory Appl., 154 (2012), 3053. 

10 
P. Lin and Y. M. Jia, Consensus of secondorder discretetime multiagent systems with nonuniform timedelays and dynamically changing topologies, Automatica J. IFAC, 45 (2009), 21542158. 

11 
Y. Liu and K. M. Passino, Stable social foraging swarms in a noisy environment, IEEE Transactions on Automatic Control, 49 (2004), 3044. 

12 
R. C. Loxton, K. L. Teo and V. Rehbock, Computational method for a class of switched system optimal control problems, IEEE Transactions on Automatic Control, 54 (2009), 24552460. 

13 
R. C. Loxton, K. L. Teo, V. Rehbock and K. F. C. Yiu, Optimal control problems with a continuous inequality constraint on the state and control, Automatica J. IFAC, 45 (2009), 22502257. 

14 
R. C. Loxton, K. L. Teo and V. Rehbock, Optimal control problems with multiple characteristic time points in the objective and constraints, Automatica J. IFAC, 44 (2008), 29232929. 

15 
R. OlfatiSaber, J. A. Fax and R. M. Murray, Consensus and cooperation in networked multiagent systems, Proceedings of IEEE, 95 (2007), 215233. 

16 
R. OlfatiSaber and R. M. Murray, Consensus problems in networks of agents with switching topology and timedelays, IEEE Transactions on Automatic Control, 49 (2004), 15201533. 

17 
R. OlfatiSaber and J. S. Shamma, Consensus filters for sensor networks and distributed sensor fusion, in 44th IEEE Conference on Decision and Control, 2005, 66986703. 

18 
W. Ren and R. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50 (2005), 655661. 

19 
W. Ren, R. W. Beard and E. M. Atkins, Information consensus in multivehicle cooperative control: Collective group behavior through local interaction, IEEE Control System Magazine, 27 (2007), 7182. 

20 
H. Sayyaadi and M. R. Doostmohammadian, Finitetime consensus in directed switching network topologies and timedelayed communications, Scientia Iranica, 18 (2011), 7585. 

21 
E. Semsar and K. Khorasani, Optimal control and game theoretic approaches to cooperative control of a team of multivehicle unmanned systems, in Proceedings of the 2007 IEEE International Conference on, Networking, Sensing and Control, London, 2007, 628633. 

22 
A. TahbazSalehi and A. Jadbabaie, A necessary and sufficient condition for consensus over random networks, IEEE Transactions on Automatic Control, 53 (2008), 791795. 

23 
K. L. Teo, L. S. Jennings, H. W. J. Lee and V. Rehbock, The control parameterization enhancing transform for constrained optimal control problems, Journal of the Australian Mathematical Society, Series B, 40 (1999), 314335. 

24 
K. L. Teo, C. J. Goh and K. H. Wong, A unified computational approach to optimal control problems, in World Congress of Nonlinear Analysts '92, De Gruyter, 1996, 27632774. 

25 
L. Wang and F. Xiao, Finitetime consensus problems for networks of dynamic agents, IEEE Transactions on Automatic Control, 55 (2010), 950955. 

26 
X. L. Wang and Y. G. Hong, Finitetime consensus for multiagent networks with secondorder agent dynamics, in Proceedings of the 17th IFAC World Congress, The International Federation of Automatic Control, 2008, 1518515190. 

27 
F. Xiao and L. Wang, Consensus protocols for discretetime multiagent systems with timevarying delays, Automatica J. IFAC, 44 (2008), 25772582. 

28 
L. Xiao and S. Boyd, Fast linear iterations for distributed averaging, Systems Control Letters, 53 (2004), 6578. 

29 
W. Zhang and J. H. Hu, Optimal multiagent coordination under tree formation constraints, IEEE Transactions on Automatic Control, 53 (2008), 692705. 

Go to top
