In this paper, we analyzed the finite time and practical stability of the invariant linear continuous systems with time delay forumlated as x'(t) = A 0 x(t) + A 1 x (t -τ). The sufficient stability conditions were presented for this class of systems. The derivation of the novel delay independent conditions for the finite time stability of such systems was performed using the Lyapunov-Krassovski functional. In this approach, the functional did not need: a) to be positive in the entire state-space and b) to have negative derivatives along the trajectories of the system. The numerical example and the system simulation were performed to demonstrate the applicability of the derived stability conditions. 5364 978-1-4799-7016-2/15/$31.00 c 2015 IEEE
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.