Exponential stability for a system of second and first order delay differential equations
نویسندگان
چکیده
Exponential stability of the second order linear delay differential equation in $x$ and $u$-control $$ \ddot{x}(t)+a_1(t)\dot{x}(h_1(t))+a_2(t)x(h_2(t))+a_3(t)u(h_3(t))=0 is studied, where indirect feedback control $\dot{u}(t)+b_1(t)u(g_1(t))+b_2(t)x(g_2(t))=0$ connects $u$ with solution. Explicit sufficient conditions guarantee that both decay exponentially.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2022
ISSN: ['1873-5452', '0893-9659']
DOI: https://doi.org/10.1016/j.aml.2022.108127