caa a22 4500 606206213 CHVBK 20210128101010.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00034-014-9964-5 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9964-5 Robust Stabilization of Markovian Jump Linear Singular Systems with Wiener Process and Generally Incomplete Transition Rates [Elektronische Daten] [Guowei Yang, Yonggui Kao, Lei Shi] This paper is devoted to the investigation of robust stability and robust stabilizability for a class of uncertain Markovian jump continuous-time singular systems with Wiener process and generally uncertain transition rates (GUTRs). This new uncertain model is more general than the existing ones and can be applicable to more practical situations because of its uncertain parameters and transition rates. Each transition rate can be completely unknown, or only its estimate value is known. Our interests are focused on establishing sufficient criteria on robust stability and the design of a state feedback controller such that the robust stochastic stability is guaranteed, even if the singular system incorporates GUTRs, Wiener process disturbance and norm-bounded uncertainties. These sufficient criteria are derived in terms of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed method. Springer Science+Business Media New York, 2015 Markov jump linear singular systems nationallicence Generally uncertain transition probabilities nationallicence Linear matrix inequality (LMI) nationallicence Stochastic stability nationallicence Stabilization nationallicence Yang Guowei School of Technology, Nanjing Audit University, 211815, Nanjing, People's Republic of China aut Kao Yonggui Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut Shi Lei Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2475-2498 0278-081X 34:8<2475 2015 34 34 https://doi.org/10.1007/s00034-014-9964-5 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/s00034-014-9964-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yang Guowei School of Technology, Nanjing Audit University, 211815, Nanjing, People's Republic of China aut NATIONALLICENCE 700 1- Kao Yonggui Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut NATIONALLICENCE 700 1- Shi Lei Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/8(2015-08-01), 2475-2498 0278-081X 34:8<2475 2015 34 34