Abstract
In this work, an approach to stabilizing compensator design is presented that is suitable for a large class of discrete-time non-linear stochastic systems with incomplete state information. The non-linearity is contained either in the state or the measurement equation and it involves a white-noise vector sequence. The proposed compensator is a combination of a constant gain observer and a constant feedback control gain. The stabilizability conditions depend upon the system and chosen design parameter characteristics and are given for both mean-square and almost sure stochastic boundedness and stability of the controlled system. A specific subclass of these systems, subject to certain control laws, is shown to possess stabilizability conditions that can be tested a priori.
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