Finite-time polystability of a class of delayed networks

Under some simple conditions, the finite-time boundedness of a network about its all variables is derived by only considering the finite-time boundedness of its partial variables. First, based on some inequality techniques and employing the Lyapunov method, some delay-independent sufficient criteria are derived to ensuring the finite-time boundedness of all state variables of the discussed delay networks. Secondly, a new delay-independent criterion of finite-time boundedness for a part states and finite-time stability for the other part states of the discussed system is also given. Finally, one numerical example is given to show the effectiveness and usefulness of the results.