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» An integrality theorem of root systems
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FM
1999
Springer
161views Formal Methods» more  FM 1999»
13 years 11 months ago
Combining Theorem Proving and Continuous Models in Synchronous Design
Support for system speci cation in terms of modelling and simulation environments has become a common practice in safety-critical applications. Also, a current trend is the automat...
Simin Nadjm-Tehrani, Ove Åkerlund
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
14 years 2 days ago
On a small gain theorem for networks of iISS systems
— 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 ...
Hiroshi Ito, Sergey Dashkovskiy, Fabian Wirth
CDC
2010
IEEE
13 years 2 months ago
Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation
This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-tostate ...
Hiroshi Ito, Randy A. Freeman, Antoine Chaillet
CORR
2010
Springer
84views Education» more  CORR 2010»
13 years 5 months ago
Rewriting and Well-Definedness within a Proof System
Term rewriting has a significant presence in various areas, not least in automated theorem proving where it is used as a proof technique. Many theorem provers employ specialised p...
Issam Maamria, Michael Butler
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 4 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...