This article is cited in 7 papers

Deterministic Systems

Periodic motions and criteria of absolute stability, instability, and controllability of two-dimensional bilinear systems

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas

Abstract: Two-dimensional time-varying linear systems under parametric interval uncertainty are studied. A variational method based on phase portrait is developed for investigating controllable systems. Analytical criteria for absolute stability, instability, and complete controllability are formulated. The complete controllability criterion is shown to be implied by the criteria of absolute stability and instability.

PACS: 02. 30 Yy

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

Received: 03.02.2006

 English version: Automation and Remote Control, 2006, 67:8, 1194–1214

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