Topics in matrix analysis
End-to-end congestion control for the internet: delays and stability
IEEE/ACM Transactions on Networking (TON)
IEEE Transactions on Circuits and Systems Part I: Regular Papers
A scalable robust stability criterion for systems with heterogeneous LTI components
ACC'09 Proceedings of the 2009 conference on American Control Conference
Stabilization of complex switched networks with two types of delays via impulsive control
ACC'09 Proceedings of the 2009 conference on American Control Conference
Delay robustness in consensus problems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
Scalable decentralized stability certificates in networks i.e. decentralized stability guarantees for an arbitrary interconnection of heterogeneous dynamical systems, are often based on certain symmetry assumptions in the way the systems are interconnected. Such structure simplifies the mathematical analysis significantly, nevertheless a potential pitfall needs to be addressed: the stability proof might offer no robustness guarantees to deviations from protocol symmetry. This is, for example, the case for Internet congestion control stability results for arbitrary networks i.e. the stability proofs break down with an arbitrarily small deviation from protocol symmetry. We propose in the paper conditions that can guarantee scalable robust stability in a nonsymmetric interconnection setting for a class of networks that includes Internet congestion control models and consensus protocols. The certificates derived are decentralized and scale with the degree of nonsymmetry.