Exponential stability of the second order linear delay differential equation in x and u-control ẍ(t)+a1(t)ẋ(h1(t))+a2(t)x(h2(t))+a3(t)u(h3(t))=0is studied, where indirect feedback control u̇(t)+b1(t)u(g1(t))+b2(t)x(g2(t))=0 connects u with the solution. Explicit sufficient conditions guarantee that both x and u decay exponentially.
- A priori estimates
- Bohl–Perron theorem
- Exponential stability
- Linear delayed differential system
- Second order delay differential equation
ASJC Scopus subject areas
- Applied Mathematics