Robust stability of additively perturbed interconnected systems
- 1 December 1984
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 29 (12) , 1069-1075
- https://doi.org/10.1109/tac.1984.1103437
Abstract
The concept of generalized block diagonal dominance is used to derive robust stability results for additively perturbed interconnected systems. These results characterize the robustness of interconnected systems by putting upper bounds on the spectral norms of the various sub-blocks of admissible perturbationsKeywords
This publication has 13 references indexed in Scilit:
- The application of generalized diagonal dominance to linear system stability theoryInternational Journal of Control, 1982
- Correction to "Feedback properties of multivariable systems: The role and use of the return difference matrix"IEEE Transactions on Automatic Control, 1982
- Stability margins of diagonally perturbed multivariable feedback systemsIEE Proceedings D Control Theory and Applications, 1982
- Achieving diagonal dominanceSystems & Control Letters, 1981
- Principal gains and principal phases in the analysis of linear multivariable feedback systemsIEEE Transactions on Automatic Control, 1981
- Multivariable feedback design: Concepts for a classical/modern synthesisIEEE Transactions on Automatic Control, 1981
- Robust stability of systems with application to singular perturbationsAutomatica, 1979
- Gain and phase margin for multiloop LQG regulatorsIEEE Transactions on Automatic Control, 1977
- Functions of One Complex VariablePublished by Springer Nature ,1973
- Block diagonally dominant matrices and generalizations of the Gerschgorin circle theoremPacific Journal of Mathematics, 1962