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This paper is concerned with the distributed control and stabilizationproblems for linear discrete-time large scale systems with imposed constraints.The main contributions of this paper are: Firstly, by using the maximumprinciple (necessary condition) for the finite horizon optimal controldeveloped in this paper, the optimal distributed controller is thus derived,which can be easily calculated; Secondly, by defining the Lyapunov functionwith the optimal cost function, we show that the systems with imposedconstraints can be stabilized by the optimal distributed controller for theinfinite horizon case. The main techniques adopted in this paper are themaximum principle and the solution to the forward and backward differenceequations (FBDE), which are the basis in solving distributed control andstabilization problems for linear systems with constraints.

Distributed Control and Stabilization for Discrete-time Large Scale Systems With Imposed Constraints