TY - JOUR
T1 - A flexible terminal approach to stochastic stability and stabilization of continuous-time semi-Markovian jump systems with time-varying delay
AU - Zhang, Dian
AU - Cheng, Jun
AU - Ki Ahn, Choon
AU - Ni, Hongjie
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China ( 61703150 , 11701163 ), the Natural Science Foundation of Shandong Provinces of China ( ZR2018LC010 ), the Program for Innovative Research Team of the Higher Education Institutions of Hubei Province ( T201812 ).
Funding Information:
This work was supported by the National Natural Science Foundation of China (61703150, 11701163), the Natural Science Foundation of Shandong Provinces of China (ZR2018LC010), the Program for Innovative Research Team of the Higher Education Institutions of Hubei Province (T201812).
PY - 2019/2/1
Y1 - 2019/2/1
N2 - This paper addresses the stochastic stability and stabilization problems for a class of semi-Markovian jump systems (SMJSs) with time-varying delay, where the time-varying delay τ(t) is assumed to satisfy τ1 ≤ τ(t) ≤ τ2. Based on the flexible terminal approach, the time-varying delay τ(t) is first transformed such that τ1(t) ≤ τ(t) ≤ τ2(t). By utilizing a novel semi-Markovian Lyapunov Krasoviskii functional (SMLKF) and an improved reciprocally convex inequality (RCI), sufficient conditions are established to guarantee a feasible solution. Two illustrated examples are shown the effectiveness of the main results.
AB - This paper addresses the stochastic stability and stabilization problems for a class of semi-Markovian jump systems (SMJSs) with time-varying delay, where the time-varying delay τ(t) is assumed to satisfy τ1 ≤ τ(t) ≤ τ2. Based on the flexible terminal approach, the time-varying delay τ(t) is first transformed such that τ1(t) ≤ τ(t) ≤ τ2(t). By utilizing a novel semi-Markovian Lyapunov Krasoviskii functional (SMLKF) and an improved reciprocally convex inequality (RCI), sufficient conditions are established to guarantee a feasible solution. Two illustrated examples are shown the effectiveness of the main results.
KW - Reciprocally convex inequality
KW - Semi-Markovian jump system
KW - Stochastic stability
KW - Time-varying delay
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U2 - 10.1016/j.amc.2018.09.035
DO - 10.1016/j.amc.2018.09.035
M3 - Article
AN - SCOPUS:85054314608
VL - 342
SP - 191
EP - 205
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
SN - 0096-3003
ER -