TY - JOUR
T1 - Intermittent boundary control for fixed-time stability of reaction–diffusion systems
AU - Jia, Wenwen
AU - Xie, Jingu
AU - Guo, Haihua
AU - Wu, Yongbao
PY - 2024/4
Y1 - 2024/4
N2 - This work is a pilot effort to investigate the fixed-time stability (FxTS) of reaction–diffusion systems under aperiodically intermittent boundary control (AIBC). The average control rate and a new Lyapunov function are proposed to overcome the challenges of handling the FxTS of reaction–diffusion systems with AIBC. Moreover, the proposed method is applicable to the study of finite-time stability and exponential stability of reaction–diffusion systems under AIBC. Based on the Wirtinger's inequality and the Lyapunov method, a FxTS criterion for a reaction–diffusion system with AIBC is given. Finally, two examples are discussed along with the simulated results to verify the effectiveness of the proposed method. © 2024 Elsevier Ltd
AB - This work is a pilot effort to investigate the fixed-time stability (FxTS) of reaction–diffusion systems under aperiodically intermittent boundary control (AIBC). The average control rate and a new Lyapunov function are proposed to overcome the challenges of handling the FxTS of reaction–diffusion systems with AIBC. Moreover, the proposed method is applicable to the study of finite-time stability and exponential stability of reaction–diffusion systems under AIBC. Based on the Wirtinger's inequality and the Lyapunov method, a FxTS criterion for a reaction–diffusion system with AIBC is given. Finally, two examples are discussed along with the simulated results to verify the effectiveness of the proposed method. © 2024 Elsevier Ltd
KW - Aperiodically intermittent boundary control
KW - Average control rate
KW - Fixed-time stability
KW - Reaction–diffusion system
UR - http://www.scopus.com/inward/record.url?scp=85186953666&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85186953666&origin=recordpage
U2 - 10.1016/j.chaos.2024.114704
DO - 10.1016/j.chaos.2024.114704
M3 - RGC 21 - Publication in refereed journal
SN - 0960-0779
VL - 181
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 114704
ER -