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Triangular configuration of uncertain systems stabilizable by means of feedback controller. (English) Zbl 1034.93051

The paper deals with a class of controlled linear systems with coefficients involving some nonrandom uncertainties. It is assumed that in the case of zero time lag and constant parameters, the system is controllable and observable, whatever values the uncertainties of the system may take within the given ranges. It is shown that, in such a case, the system necessarily has a triangular configuration, stabilizable by means of a state variable feedback controller.

MSC:

93D15 Stabilization of systems by feedback
93B10 Canonical structure
93C23 Control/observation systems governed by functional-differential equations
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