caa a22 4500 606205926 CHVBK 20210128101009.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00034-014-9893-3 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9893-3 Mean-Square Exponential Stability and Stabilisation of Stochastic Singular Systems with Multiple Time-Varying Delays [Elektronische Daten] [Jian-Ning Li, Yibo Zhang, Ya-Jun Pan] The stability and stabilisation problems for a series of continuous stochastic singular systems with multiple time-varying delays are studied in this paper. First, a useful lemma is proposed and a delay-distribution-dependent Lyapunov functional is constructed. Then, a novel delay-distribution-dependent condition is given to ensure the unforced stochastic singular systems to be regular and impulse-free. The mean-square exponential stability of the whole system is guaranteed under the proposed lemma. As a result, a suitable feedback controller is designed via strict linear matrix inequality such that the system's stabilisation problem is guaranteed. Finally, numerical examples are illustrated to show the proposed result are less conservative than the existing ones and the potential of such technology. Springer Science+Business Media New York, 2014 Singular system nationallicence Mean-square exponential stability nationallicence Linear matrix inequality nationallicence $$\alpha $$ α -Stability nationallicence Robust control nationallicence Li Jian-Ning Institute of System Science and Control Engineering, School of Automation, Hangzhou Dianzi University, 310018, Hangzhou, People's Republic of China aut Zhang Yibo Institute of Automation, Zhejiang Sci-Tech University, 310018, Hangzhou, Zhejiang, People's Republic of China aut Pan Ya-Jun Department of Mechanical Engineering, Dalhousie University, P.O. Box 15000, B3H 4R2, Halifax, NS, Canada aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/4(2015-04-01), 1187-1210 0278-081X 34:4<1187 2015 34 34 https://doi.org/10.1007/s00034-014-9893-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9893-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Jian-Ning Institute of System Science and Control Engineering, School of Automation, Hangzhou Dianzi University, 310018, Hangzhou, People's Republic of China aut NATIONALLICENCE 700 1- Zhang Yibo Institute of Automation, Zhejiang Sci-Tech University, 310018, Hangzhou, Zhejiang, People's Republic of China aut NATIONALLICENCE 700 1- Pan Ya-Jun Department of Mechanical Engineering, Dalhousie University, P.O. Box 15000, B3H 4R2, Halifax, NS, Canada aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/4(2015-04-01), 1187-1210 0278-081X 34:4<1187 2015 34 34