An investigation into the stability of single-type multiply connected automatic control systems with holonomic ties between subsystems
type: Item
instance of: scholarly article
title: An investigation into the stability of single-type multiply connected automatic control systems with holonomic ties between subsystems
zbMATH Open document ID: 0928.93049
author: B. G. Il'yasov
author: Yu. S. Kabal'nov
published in: Automation and Remote Control
publication date: 1999-04-26T00:00:00Z
review text: For single-type multiply connected automatic control (MAC) systems, a new stability criterion (necessary and sufficient condition) is formulated in the frequency domain. The method is not sensitive to the order of the differential equations describing the separate subsystems. Moreover, it allows to evaluate the influence of the dynamic properties of the separate subsystems and their interconnections on the stability of the overall system. From this criterion, a sufficient condition for stability is derived in an algebraic form, it circumvents the need for operating with some analytic expressions, as requested by the frequency-domain approach. An example illustrates the usefulness of these new results.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 93C80
zbMATH DE Number: 1279760
zbMATH Keywords: multiply connected systems
zbMATH Keywords: stability criterion
zbMATH Keywords: frequency domain
zbMATH Keywords: subsystems
reviewed by: Octavian Pastravanu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1279760