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Stability theorems for multidimensional linear systems with variable parametersA Liapunov-type approach is used to derive two equivalent theorems which govern the stability of coupled linear systems with varying multiple parameters. The theorems generalize some of the existing theorems applicable to systems with constant parameters and the Sonin-Polya theorem applicable to a single-degree-of-freedom system with variable coefficients. As an illustration, the proposed theorems are applied to mechanical systems with varying inertia, stiffness, gyroscopic, and damping terms, and velocity and position-dependent forces.
Document ID
19810045724
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Shrivastava, S. K.
(NASA Johnson Space Center Structure and Mechanics Div., Houston, Tex.; Indian Institute of Science, Bangalore, India)
Date Acquired
August 11, 2013
Publication Date
March 1, 1981
Subject Category
Physics (General)
Accession Number
81A30128
Distribution Limits
Public
Copyright
Other

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