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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 1982 Issue 11, Pages 25–32 (Mi at5647)

Deterministic Systems

A way òî analyze unambiguity of linear mappings and its application to observability problems

Yu. V. Bezzubov

Moscow

Abstract: The observability of nonlinear $n$-th. order system is analysed by using Gail and Kikaido's sufficient criteria of 1-1-correspondence which require that the phase region be rectangular and the sign of all $N\gg n$ major minors of the Jakobi matrix be investigated. In the new technique the sufficient (necessary and sufficient) ñ conditions of 1-1-correspondence are found without constraints on the structure of the region by solving one ($N_1<N$) inequality (or severls inequalities).

UDC: 62-501.57


Received: 01.04.1981


 English version:
Automation and Remote Control, 1982, 43:11, 1383–1389

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© Steklov Math. Inst. of RAS, 2026