Title :
Stability of systems with randomly time-varying parameters
Author_Institution :
University of California, Berkeley, CA, USA
fDate :
9/1/1960 12:00:00 AM
Abstract :
The stability of a system which alternates between stable and unstable configurations at random times may be investigated conveniently using Kronecker products. The system is stable with probability one if, and only if, all the eigenvalues of a specified matrix lie within the unit circle. If stability in the presence of a parameter adjustment is to be investigated, a root-locus plot of the eigenvalues is convenient.
Keywords :
Circuit faults; Control systems; Convergence; Eigenvalues and eigenfunctions; Linear systems; Probability; Random variables; Stability; Switches; Time varying systems;
Journal_Title :
Automatic Control, IRE Transactions on
DOI :
10.1109/TAC.1960.1105035
