Deterministic Systems

Stable systems of large dimensions

V. I. Opoĭitsev

Moscow

Abstract: The relation between the dimension and stability of a linear system are determined. Assertions that as the dimension increases the measure of the set of unstable matrices tends to zero are given a specific sense. Their motivation and meaningful interpretation are provided.

UDC: 62-501.42


Received: 29.04.1985

 English version: Automation and Remote Control, 1986, 47:6, 768–774

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