Asymptotic stability of neutral stochastic pantograph systems with Markovian switching.

Autor: Zou, Zihan, Song, Yinfang, Zhu, Quanxin, Zhao, Chi
Předmět:
Zdroj: International Journal of Control; Jun2024, Vol. 97 Issue 6, p1311-1324, 14p
Abstrakt: This paper investigates the asymptotic stability of neutral stochastic pantograph systems with Markovian switching (NSPSMS). The stochastic LaSalle theorem has been set up to locate the attractive sets for NSPSMS without linear growth condition. Subsequently, combining the stochastic LaSalle theorem and uniformly continuous theory, almost surely asymptotic stability and pth moment asymptotic stability are analysed. Furthermore, we also present one new criterion on the pth moment polynomial stability and almost surely polynomial stability for NSPSMS, where the coefficients of the delay term are time invariable. Finally, three examples are provided to exhibit the efficiency of the proposed results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index