Abstract
In this paper, the design of state estimation for the complex network with one-step induced delay are studied that only need a part of the network node’s output measurement, based on structural controllability. Firstly, vwe selected the driver nodes according to the maximum matching method instead of the topological degree’s size, and then estimated all nodes’ information with these driver node’s measurement output. By using the Lyapunov stability theory and the stochastic analysis method, the conditions for the existence of the gain matrix of the state estimator are presented in the form of linear inequalities. Finally, the simulation example is given to verify the present theoretical analysis in this study.
This work is supported by National Natural Science Foundation (NNSF) of China under Grant 61374180 and 61573194.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Gardillo, A., Scellato, S., Latora, V., et al.: Structural properties of planar graphs of urban street patterns. Phys. Rev. E 73(6), 066–072 (2006)
Jeong, H., Tombor, B., et al.: The large-scale organization of metabolic networks. Nature 407(6804), 65154–65164 (2000)
Wang, X., Li, X., Chen, G.: Complex network theory and its application. Tsinghua University Press, Beijing
Zhu, Z., Zhou, C., Hu, W.: Design of robust states observer for networked control systems with short time-delay. Control Decis. 20(3), 66–73 (2005)
Roy, R., Murphy Jr., T.W., Maier, T.D., et al.: Dynamical control of a chaotic laser: experiment stabilization of a globally coupled system. Phys. Rev. Lett. 68(9), 1259–1262 (1992)
Fan, C.X., Jiang, G.P., Jiang, F.H.: Synchronization between two complex dynamical network using scalar signals under pinning control. IEEE Trans. Circ. Syst. Pap. 57(11), 2991–2998 (2010)
Zhu, Z., Zhou, C., Hu, W.: Design of robust states observer for networked control systems with short time-delay. Control Decis. 20(3), 103–108 (2005)
Du, D., Qi, B., Fei, M.: Quantized control for networked control systems with multi-channel hybrid network-induced delay constraints. Syst. Sci. Math Sci. 35(4), 397–406 (2015)
Liu, X., Chen, T.: Synchronization of nonlinear coupled networks via aperiodically intermittent pinning control. IEEE Trans. Neural Netw. Learn. Syst. 26(1), 113–125 (2015)
Xu, C.-G., Guo, W.-H., Yang, C.-H.: Synchronous control of singular discrete time-delay complex dynamic network. J. Syst. Eng. 12(25), 115–120 (2010)
Liu, Y.Y., Slotine, J.J., Barabrási, A.L.: Controllability of complex networks. Nature 473(167), 100–105 (2011)
Yu, W., Wen, G., Lu, J., et al.: Pinning observability in complex networks. IET Control Theory Appl. 8(18), 2136–2144 (2014)
Liu, X., Chen, T.: Synchronization of nonlinear coupled networks via aperiodically intermittent pinning control. IEEE Trans. Neural Netw. Learn. Syst. 07(26), 45–60 (2015)
Wang, L., Wei, G., Shu, H.: State estimation for complex networks with randomly occurring coupling delays. Neuro Comput. 122(4), 513–520 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Wang, W., Wan, Y., Liang, X. (2017). State Estimation for Complex Network with One Step Induced Delay Based on Structural Controllability and Pinning Control. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_58
Download citation
DOI: https://doi.org/10.1007/978-981-10-6373-2_58
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6372-5
Online ISBN: 978-981-10-6373-2
eBook Packages: Computer ScienceComputer Science (R0)