Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 96, Issue 6, Pages 1594-1602Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2022.2057873
Keywords
Stochastic reaction-diffusion system; G-Brownian motion; practical stability; exponential stability
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This paper investigates the stability issues of stochastic reaction-diffusion systems driven by G-Brownian motion (G-SRDSs) in relation to a part of the variables. Using G-Lyapunov techniques and G-Ito's formula, the criteria of global practical uniform kth moment exponential stability and global practical uniform quasi surely exponential stability are established. An example is provided to demonstrate the usefulness and feasibility of the proposed results.
The main purpose of this paper is to investigate the practical stability in relation to a part of the variables of stochastic reaction-diffusion systems driven by G-Brownian motion (G-SRDSs, in short). With the aid of G-Lyapunov techniques and G-Ito's formula, the criteria of the global practical uniform kth moment exponential stability and the global practical uniform quasi surely exponential stability in relation to a part of variables of G-SRDSs are established. An example is given to illustrate the usefulness and feasibility of the proposed results.
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