Some Results on Stabilizability of Large-Scale Control Systems with Indetrminancy

In this paper a large-scale contol system described by a class of functional differential equations with unknown coefficients satisfying certain constraints is considered. A larg-scale control that is linear relative to the system variables and satisfies the asymptotic stability of its zero solution is constructed. It is shown that the exponential stabilizabilty of a class of large-scale control systems with indeterminancy is equivalent to the stabilizabilty of its approximating linear system under certain conditions.