An ISS small gain theorem for general networks

Author:

Dashkovskiy Sergey,Rüffer Björn S.,Wirth Fabian R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Reference32 articles.

1. Angeli D, Sontag E (2004) Interconnections of monotone systems with steady-state characteristics. In: Optimal control, stabilization and nonsmooth analysis, Lecture Notes in Control and Inform. Sci., vol. 301. Springer, Berlin, pp 135–154

2. Angeli D, De Leenheer P and Sontag ED (2004). A small-gain theorem for almost global convergence of monotone systems. Syst Control Lett 52(5): 407–414

3. Berman A and Plemmons RJ (1979). Nonnegative matrices in the mathematical sciences. Academic [Harcourt Brace Jovanovich Publishers], New York

4. Dashkovskiy S, Rüffer BS, Wirth FR (2006a) Construction of ISS Lyapunov functions for networks. Tech. Rep. 06-06, Zentrum für Technomathematik, University of Bremen, Technical Report

5. Dashkovskiy S, Rüffer BS, Wirth FR (2006b) Discrete time monotone systems: Criteria for global asymptotic stability and applications. In: Proceedings of the 17th international symposium on mathematical theory of networks and systems (MTNS), Kyoto, Japan, pp 89–97

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