caa a22 4500 606205497 CHVBK 20210128101007.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00034-015-0034-4 doi (NATIONALLICENCE)springer-10.1007/s00034-015-0034-4 Finite-Time Stabilization of Switching Markov Jump Systems with Uncertain Transition Rates [Elektronische Daten] [Xiaoli Luan, Changzhong Zhao, Fei Liu] In this paper, the problems of finite-time stability and stabilization for continuous-time switching Markov jump systems with uncertain transition rates are investigated, where some elements in the transition rate matrix are not known precisely, but their bounds are known or completely unknown. The main results are achieved by piecewise integrating the Markov processes and allowing the stochastic multiple Lyapunov function to increase at every switching instant with a limited switching rate such that the state trajectories are kept within the prescribed bound in a short time interval. Finally, two examples illustrate the validity of the obtained results. Springer Science+Business Media New York, 2015 Switching Markov jump linear systems nationallicence Finite-time stabilization nationallicence Uncertain transition rates nationallicence Piecewise integrating nationallicence Luan Xiaoli Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut Zhao Changzhong Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut Liu Fei Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3741-3756 0278-081X 34:12<3741 2015 34 34 https://doi.org/10.1007/s00034-015-0034-4 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/s00034-015-0034-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Luan Xiaoli Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 700 1- Zhao Changzhong Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 700 1- Liu Fei Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/12(2015-12-01), 3741-3756 0278-081X 34:12<3741 2015 34 34