A Scalable Robust Stability Criterion for Systems With Heterogeneous LTI Components
- 17 February 2010
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 55 (10) , 2219-2234
Abstract
A scalable robust stability criterion for interconnected systems with heterogeneous linear time-invariant components is presented in this paper. The criterion involves only the properties of individual components and the spectrum of the interconnection matrix, which can be verified with relatively low computational effort, and more importantly maintains scalability of the analysis. Our main result shows that if the components are single-input-single-output (SISO), then the criterion has an appealing graphical interpretation which resembles the classical Nyquist criterion.Keywords
This publication has 17 references indexed in Scilit:
- Characterization of robust stability of a class of interconnected systemsAutomatica, 2009
- Communication constraints in the average consensus problemAutomatica, 2008
- Scalable robust stability for nonsymmetric heterogeneous networksAutomatica, 2007
- Scalable Decentralized Robust Stability Certificates for Networks of Interconnected Heterogeneous Dynamical SystemsIEEE Transactions on Automatic Control, 2006
- Diagonal stability of a class of cyclic systems and its connection with the secant criterionAutomatica, 2006
- Information Flow and Cooperative Control of Vehicle FormationsIEEE Transactions on Automatic Control, 2004
- Internet congestion controlIEEE Control Systems, 2002
- System analysis via integral quadratic constraintsIEEE Transactions on Automatic Control, 1997
- Control of symmetrically interconnected plantsAutomatica, 1994
- Feedback Systems: Input-Output PropertiesJournal of Dynamic Systems, Measurement, and Control, 1975