New results on robust finite-time stability of singular large-scale complex systems with interconnected delays |
| |
| Institution: | 1. Department of Mathematics, Hanoi Pedagogical University 2, Vinh Phuc, Viet Nam;2. ICRTM, Institute of Mathematics, VAST, 18 Hoang Quoc Viet Road, Hanoi, Viet Nam;1. Department of Mathematics, Cochin University of Science and Technology, Kerala, India;2. Department of Mathematics, Gandhigram Rural Institute, Dindigul, Tamilnadu, India;1. AnHui Province Key Laboratory of Special Heavy Load Robot and School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;3. School of Information Science and Engineering, Chengdu University, Chengdu 610106, China;1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Ha Noi10307, Viet Nam;2. Department of Mathematics, University of Bari, Via E. Orabona 4, Bari 70126, Italy;3. INdAM Research Group GNCS, P.le Aldo Moro 5, Roma 00185, Italy |
| |
| Abstract: | In this paper, we provide an efficient approach based on combination of singular value decomposition (SVD) and Lyapunov function methods to finite-time stability of linear singular large-scale complex systems with interconnected delays. By representing the singular large-scale system as a differential-algebraic system and using Lyapunov function technique, we provide new delay-dependent conditions for the system to be regular, impulse-free and robustly finite-time stable. The conditions are presented in the form of a feasibility problem involving linear matrix inequalities (LMIs). Finally, a numerical example is presented to show the validity of the proposed results. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
