Controllability of Matrix Lyapunov Systems and Lyapunov-type Integro-differential Equations

摘要

In the present article, Lyapunov-like matrix first order differential equations and matrix first or- der integro-differential equations (IDE) are studied to find necessary and sufficient conditions for controllability of a system. As a necessary tool, a variation of parameters formula is also devel-oped. Further, nonlinear IDE has been considered for controllability.