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- Sergey Dashkovskiy, Björn Rüffer, Fabian R. Wirth
- IEEE 51st IEEE Conference on Decision and Control…
- 2010

We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as… (More)

- Sergey Dashkovskiy, Björn Rüffer, Fabian R. Wirth
- MCSS
- 2007

We provide a generalized version of the nonlinear small gain theorem for the case of more than two coupled input-to-state stable systems. For this result the interconnection gains are described in a… (More)

- Robert Shorten, Fabian R. Wirth, Oliver Mason, Kai Wulff, Christopher K. King
- SIAM Review
- 2007

The study of the stability properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. The objective of this paper is to outline some of… (More)

- Robert Shorten, Fabian R. Wirth, Douglas J. Leith
- IEEE/ACM Trans. Netw.
- 2006

- Andrii Mironchenko, Fabian R. Wirth
- IEEE Transactions on Automatic Control
- 2018

We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach spaces, time-delay… (More)

- Roman Geiselhart, Rob H. Gielen, Mircea Lazar, Fabian R. Wirth
- Systems & Control Letters
- 2014

This paper presents an alternative approach for obtaining a converse Lyapunov theorem for discrete–time systems. The proposed approach is constructive, as it provides an explicit Lyapunov function.… (More)

- Nicola Guglielmi, Fabian R. Wirth, Marino Zennaro
- SIAM J. Matrix Analysis Applications
- 2005

- Hiroshi Ito, Sergey Dashkovskiy, Fabian R. Wirth
- Automatica
- 2012

This paper addresses the problem of verifying stability of networks whose subsystems admit dissipation inequalities of integral input-to-state stability (iISS). We focus on two ways of constructing a… (More)

- Hiroshi Ito, Sergey Dashkovskiy, Fabian R. Wirth
- Proceedings of the 48h IEEE Conference on…
- 2009

This paper considers networks consisting of integral input-to-state stable (iISS) subsystems and addresses the problem of verifying iISS property of a given network. First, we focus on construction… (More)

- Fabian R. Wirth
- SIAM J. Control and Optimization
- 2005

We study families of linear time-varying systems, where time-variations have to satisfy restrictions on the dwell time, that is on the minimum distance between discontinuities, as well as on the… (More)