Admissibility Conditions of Dynamic Input-Output Economic Model with Multiple Delays

摘要

A new dynamic input-out economic model with multiple delays and with probably singular capital coefficient matrices is proposed.A delay-dependent admissibility condition and a delay-independent admissibility condition of the dynamic input-out economic model are addressed respectively.By simple transformation,the economic model is written as a discrete-time singular systems with multiple constant delays,then a delay-dependent and a delay-independent admissibility conditions are presented and expressed in terms of linear matrix inequalities (LMIs) by Lyapunov approach.Finally,numerical examples of the dynamic input-out economic model are illustrated,which show the effectiveness of the proposed methods.