This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.
机构:
Harbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R ChinaHarbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R China
Kao, Yonggui
Wang, Changhong
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机构:
Harbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R ChinaHarbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R China
Wang, Changhong
Karimi, H. R.
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机构:
Univ Agder, Fac Sci & Technol, Dept Engn, N-4898 Grimstad, NorwayHarbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R China
Karimi, H. R.
Bi, Ran
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机构:
Shenzhen Univ Town, Sch Mech Engn & Automat, Harbin Inst Technol, Shenzhen, Peoples R ChinaHarbin Inst Technol, Control & Inertial Technol Res Ctr, Harbin 150001, Heiloniang Prov, Peoples R China
机构:
Harbin Inst Technol, Dept Math, Sch Sci, Weihai 264209, Shandong, Peoples R ChinaHarbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
Kao, Yonggui
Wang, Changhong
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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
机构:
South China Univ Technol, Syst Engn Inst, Guangzhou 510640, Peoples R ChinaSouth China Univ Technol, Syst Engn Inst, Guangzhou 510640, Peoples R China
Li, Yixuan
Deng, Feiqi
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机构:
South China Univ Technol, Syst Engn Inst, Guangzhou 510640, Peoples R ChinaSouth China Univ Technol, Syst Engn Inst, Guangzhou 510640, Peoples R China
Deng, Feiqi
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,
2024,
131