Abstract
Abstract By introducing both linear and nonlinear local state feedback controllers, criteria are established for the decentralized stabilization of time-invariant and time-varying stochastic large scale systems. These criteria are given by the hypotheses for diffusion coefficients and expressed by the matrix Riccati equations. In time-invariant case, the hypotheses for matrix Riccati equations can be ensured by the conditions of stabilizability and observability of the isolated stochastic subsystems.
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