On exponential stability of switched functional differential equations with average dwell-time.

Autor: Ngoc, Pham Huu Anh, Hieu, Le Trung, Tran, Thai Bao
Předmět:
Zdroj: Communications in Contemporary Mathematics; Dec2024, Vol. 26 Issue 10, p1-15, 15p
Abstrakt: We present a novel approach to the exponential stability of switched functional differential equations. Our approach does not involve Lyapunov functions. It is simple and based upon spectral properties of Metzler matrices, a comparison principle and the average dwell-time technique. Consequently, some new explicit criteria for the exponential stability of switched functional differential equations are derived. Some illustrative examples are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index