The Set of Stable Polynomials of Linear Discrete Systems: Its Geometry

Authors:
Yu. P. Nikolaev
Affiliations:
Institute of Electromechanics and Automation, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2002

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Automatica (Journal of IFAC)

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Abstract

The multidimensional stability domain of linear discrete systems is studied. Its configuration is determined from the parameters of its intersection with coordinate axes, coordinate planes, and certain auxiliary planes. Counterexamples for the discrete variant of the Kharitonov theorem are given.