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This paper considers the problem of H∞ output feedback controller design for stochastic nonlinear systems. The synthesis of the controller is based on the concept of dissipativity for stochastic systems which was introduced by the authors in a previous work. The stochastic dissipativity concept facilitates the establishment of a bounded real lemma (BRL) for stochastic systems, on the basis of which...
The theory of H∞ control for linear systems is extended to the case of nonlinear systems of a special structure. The resulting theory is applied to the problem of controlling an electronic circuit with a tunnel diode that is affected by power disturbances.
In this paper we develop an Hinfin filtering theory, from the dissipation point of view, for a large class of time-continuous stochastic nonlinear systems. In particular, we use the notion of stochastic dissipative systems analogously to the familiar notion of dissipation associated with deterministic systems and utilize it as a basis for the development of our theory. We first establish a connection...
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