This article is cited in 10 papers

Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems

N. V. Smirnov

Saint-Petersburg State University

Abstract: In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.

UDC: 531.36:62-50

Received: 20.10.2000
Revised: 10.11.2001

DOI: 10.4213/mzm443

 English version: Mathematical Notes, 2002, 72:4, 495–504

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