caa a22 4500 463169018 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9172-6 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9172-6 Global Convergence of a Class of Discrete-Time Interconnected Pendulum-Like Systems [Elektronische Daten] [Y. Yang, Z. Duan, L. Huang] This paper focuses on a class of discrete-time interconnected pendulum-like systems. Sufficient conditions for the global convergence of systems with both structured and unstructured uncertainties in its linear part are established in terms of linear matrix inequalities (LMIs). In the traditional decentralized control of large scale systems, the effects of interconnections were seldom studied. In this paper, a square matrix specifying the interconnecting structure is introduced in order to discuss the effects of nonlinear interconnections. It is shown that the global convergence of the whole interconnected system can be achieved by designing an appropriate interconnection matrix. In order to solve the nonlinear matrix inequalities (NMIs) arising in the synthesis problem, a global optimization algorithm is presented which can be used to handle a class of NMI problems. An illustrative example is given to demonstrate the applicability and validity of the main results and the presented algorithm. Springer Science+Business Media, LLC, 2007 Pendulum-like systems nationallicence Global convergence nationallicence Interconnected systems nationallicence Linear matrix inequalities nationallicence Global optimization algorithm nationallicence Yang Y. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut Duan Z. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut Huang L. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 257-273 0022-3239 133:2<257 2007 133 10957 https://doi.org/10.1007/s10957-007-9172-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9172-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yang Y. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut NATIONALLICENCE 700 1- Duan Z. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut NATIONALLICENCE 700 1- Huang L. State Key Lab for Turbulence and Complex Systems, Department of Mechanics & Engineering Science, Peking University, Beijing, Peoples' Republic of China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 257-273 0022-3239 133:2<257 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer