Discrete-Time Networked Dynamic Systems

d3061b27-c1ab-463b-9baf-105d292bf80920210318075211212wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON SYSTEMS AND CONTROL1991-876310.37394/23203http://wseas.org/wseas/cms.action?id=4073220202022020201510.37394/23203.2020.15http://wseas.org/wseas/cms.action?id=23195Discrete-Time Networked Dynamic SystemsMagdi S.MahmoudDistributed Control Research Lab, Systems Engineering Department, KFUPM, Dhahran, SAUDI ARABIAIn this paper, we provides a general framework for the analysis of a class of linear discrete-time networked dynamic systems (DNDS). We focus our attention on DNDS where the underlying connection topology couples the agents at their outputs. A distinction is made between DNDS with homogeneous agent dynamics and DNDS with heterogeneous agent dynamics. It is emphasized that developing efficient solution methods for the design of such systems involve connecting and interpreting results from graph theory and convex optimization in a systems-theoretic context51320205132020212217https://www.wseas.org/multimedia/journals/control/2020/a445103-049.pdf10.37394/23203.2020.15.22http://www.wseas.org/multimedia/journals/control/2020/a445103-049.pdfW. Ren and R. W. Beard, “A survey of consensus problems in multiagent coordination”, Proc. ACC, Portland, OR, 2005.10.2514/2.4721M. Mesbahi and F. Y. Hadaegh, “Formation flying control of multiple spacecraft via graphs,matrix inequalities, and switching”, Proc. AIAAJGCD, vol. 24, no. 2, pp. 369–377, 2001.M. S. Mahmoud, “Networked control systems analysis and design: An overview”,The Arabian Journal of Science and Engineering: Invited Pa-per, vol. 41, no. 3, pp. 711–758, March 2016.P. K. C. Wang and F. Y. Hadaegh, “Coordinationand control of multiple micro-spacecraft moving in formation”,J. Astronaut. Sci., vol. 44, pp.315–355, 1996.10.1109/tac.2004.834433J. A. Fax and R. M. Murray, “Information flow and cooperative control of vehicle formations”,IEEE Trans. Automatic Control, vol. 49, no. 9,pp. 1465–1476, 2004.10.1109/acc.2007.4282502A. Rahmani and M. Mesbahi, “Pulling the strings on agreement: anchoring, controllability, and graph automorphisms, ACC, NY, 2007.10.1109/cdc.2008.4738920D. Zelazo and M. Mesbahi, “On the observability properties of homogeneous and heterogeneous networked dynamic systems”, IEEE CDC,Cancun, Mexico, 2008.R. S. Smith and F. Y. Hadaegh, “Control of deep space formation flying spacecraft; relative sensing and switched information”,AIAA JGCD,vol. 28, no. 1, 2005.C. Godsil and G. Royle,Algebraic Graph Theory, Springer, 2001.R. A. Horn and C. Johnson,Topics in MatrixAnalysis, Cambridge University Press, 1991.M. S. Mahmoud,Advanced Control Design with Application to Electromechanical Systems, Elsevier Butterworth-Heinemann, Brazil, April2018.B. Korte and J. Vygen, Combinatorial Optimization: Theory and Algorithms, Springer-Verlag,Berlin Heidelberg, 2000.C. R. Johnson,Matrix Theory and Applications,Proc. Symposia in Applied Mathematics (40),1990.10.1515/9781400831470F. Bullo, J. Cortes, and S. Martinez, Distributed Control of Robotic Networks: a Mathematical Approach to Motion Coordination Algorithms, Princeton, NJ: Princeton University Press, 2009.10.1515/9781400835355M. Mesbahi and M. Egerstedt,Graph Theoretic Methods in Multiagent Networks, Princeton, NJ:Princeton University Press, 2010.