This article is cited in 2 papers

Deterministic Systems

Duality of the notions of controllability and observability for degenerate linear hybrid systems

A. A. Shcheglova

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: Consideration was given to the linear system of equations in continuous and discrete time with constant matrices of coefficients which is not explicit in the derivative of the continuous component of the desired vector function. The notion of conjugate system was introduced, and an analog of the Kalman duality theorem relating the notions of total controllability and observability was proved.

PACS: 02.30.Yy

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 22.12.2005

 English version: Automation and Remote Control, 2006, 67:9, 1445–1465

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