Abstract

The decentralized control of discrete time stochastic linear systems is considered in this paper. The decentralized control laws are obtained by determining a sequential Nash equilibrium point for a set of quadratic cost functions. In the absence of disturbances, the Nash equilibrium set has the property of driving the state of the closed-loop system to the origin in finite time or asymptotically. In addition, the control law is a linear function of the instantaneous output measurements and can be computed on-line using relatively simple algorithms.

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