This article is cited in 12 papers

Deterministic Systems

On partial detectability of the nonlinear dynamic systems

V. I. Vorotnikov^a, Yu. G. Martyshenko<sup>b

a</sup> Ural State Technical University
^b Nizhny Tagil Technological Institute (branch) of Ural State Technical University

Abstract: Conditions were obtained under which the uniform stability (uniform asymptotic stability) in one part of the variables of the zero equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position relative to another, larger part of variables. Conditions were also obtained under which the uniform stability (uniform asymptotic stability) in one part of variables of the “partial” (zero) equilibrium position of the nonlinear nonstationary system of ordinary differential equations implies the uniform stability (uniform asymptotic stability) of this equilibrium position. These conditions complement a number of the well-known results of the theory of partial stability and partial detectability of the nonlinear dynamic systems. Application of the results obtained to the problems of partial stabilization of the nonlinear control systems was considered.

PACS: 02.30.Yy

Presented by the member of Editorial Board: L. B. Rapoport

Received: 04.06.2007

 English version: Automation and Remote Control, 2009, 70:1, 20–32

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