On the Use of a Block Analog of the Gerschgorin Circle-Theorem in the Design of Decentralized Control of a Class of Large-Scale Systems
Open Access
- 1 January 1981
- journal article
- Published by Norwegian Society of Automatic Control in Modeling, Identification and Control: A Norwegian Research Bulletin
- Vol. 2 (2) , 107-118
- https://doi.org/10.4173/mic.1981.2.5
Abstract
The paper deals with the design of decentralized control of interconnected dynamic systems. It is assumed that each subsystem has its own control input and that the interconnections are through the states of the other subsystems. The purpose of the present paper is to investigate the possibility of using the so-called block Gerschgorin theorem to evaluate the stability of the total system, given the local controllers. This theorem enables us to determine inclusion regions for the eigenvalues of the total system and these regions are usually sharper than those obtained by the usual Gerschgorin circle theoremKeywords
This publication has 3 references indexed in Scilit:
- Survey of decentralized control methods for large scale systemsIEEE Transactions on Automatic Control, 1978
- On decentralized estimation†International Journal of Control, 1978
- Generation of Multilevel Control and Estimation Schemes for Large-Scale Systems: A Perturbational ApproachIEEE Transactions on Systems, Man, and Cybernetics, 1977