On the stability of theAmatrix inside the unit circle
- 1 August 1975
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 20 (4) , 533-535
- https://doi.org/10.1109/tac.1975.1100995
Abstract
In this short paper several theorems related to the necessary and sufficient conditions for the characteristic roots (eigenvalues) of a matrix A to lie inside the unit circle are presented. In particular, the following conditions are proved. 1) Linear combinations b i of the coefficients of i inKeywords
This publication has 4 references indexed in Scilit:
- Remarks on "The mechanics of bilinear transformation"IEEE Transactions on Audio and Electroacoustics, 1973
- Conditions for a matrix to have only characteristic roots with negative real partsJournal of Mathematical Analysis and Applications, 1968
- Stability and Aperiodicity Constraints for System DesignIEEE Transactions on Circuit Theory, 1963
- Stability criteria for linear systems and realizability criteria for RC networksMathematical Proceedings of the Cambridge Philosophical Society, 1957