caa a22 4500 475801148 CHVBK 20180406123737.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1023/A:1009698529106 doi (NATIONALLICENCE)springer-10.1023/A:1009698529106 A Novel Approach Solving for Linear Matrix Inequalities Using Neural Networks [Elektronische Daten] [Chun-Liang Lin, Teng-Hsien Huang] Linear matrix inequalities (LMIs) play avery important role in postmodern control by providinga framework that unifies many concepts. While numerouspapers have appeared cataloging applications of LMIsto control system analysis and design, there have beenfew publications in the literature describing thenumerical solution of these problems. Specially, neural network processing has rarely been used to solve those problems.This paper attempts topropose a new approach to solving a class of LMIsusing recurrent neural networks. The nature ofparallel and distributed processing renders thesenetworks, which possess the computational advantages overthe traditional sequential algorithms in real-timeapplications. The proposed networks are proven to be largelyasymptotical and capable of solving LMIs.Some illustrative examples are provided todemonstrate the proposed results. Kluwer Academic Publishers, 2000 linear matrix inequality nationallicence Lyapunov equation nationallicence recurrent neural network nationallicence Riccati equation nationallicence quadratic stability nationallicence Lin Chun-Liang Department of Automatic Control Engineering, Feng Chia University, 40724, Taichung, Taiwan, R.O.C. aut Huang Teng-Hsien Department of Automatic Control Engineering, Feng Chia University, 40724, Taichung, Taiwan, R.O.C. aut Neural Processing Letters Kluwer Academic Publishers 11/2(2000-04-01), 153-169 1370-4621 11:2<153 2000 11 11063 https://doi.org/10.1023/A:1009698529106 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009698529106 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Chun-Liang Department of Automatic Control Engineering, Feng Chia University, 40724, Taichung, Taiwan, R.O.C aut NATIONALLICENCE 700 1- Huang Teng-Hsien Department of Automatic Control Engineering, Feng Chia University, 40724, Taichung, Taiwan, R.O.C aut NATIONALLICENCE 773 0- Neural Processing Letters Kluwer Academic Publishers 11/2(2000-04-01), 153-169 1370-4621 11:2<153 2000 11 11063 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer