The paper is concerned with positive observer design for positive Markovian jump systems with incomplete transition rates and time delays that are mode-dependent and time-varying. Firstly, by applying an appropriate co-positive type Lyapunov-Krasovskii function and free-connection weighting vectors, sufficient conditions are proposed to ensure stochastic stability of the error positive system and existence of the positive observer. All the proposed conditions are derived in linear programming. Finally, an example is given to demonstrate the validity of the main results.
机构:
SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
SW Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China
Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R ChinaSW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
Tian, Junkang
Li, Yongming
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SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R ChinaSW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
Li, Yongming
Zhao, Jinzhou
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SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R ChinaSW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
Zhao, Jinzhou
Zhong, Shouming
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Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R ChinaSW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China
机构:
Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
Li, Fanbiao
Wu, Ligang
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Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
Wu, Ligang
Shi, Peng
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Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, AustraliaHarbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
机构:
Harbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China
Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R ChinaHarbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China
Wei, Yanling
Qiu, Jianbin
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Harbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China
Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R ChinaHarbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China
Qiu, Jianbin
Fu, Shasha
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Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R ChinaHarbin Inst Technol, State Key Lab Robot & Syst, Harbin 150001, Peoples R China