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MST
2010
101views more  MST 2010»
13 years 3 months ago
Automatic Presentations and Semigroup Constructions
atic presentation for a relational structure is, informally, an abstract representation of the elements of that structure by means of a regular language such that the relations ca...
Alan J. Cain, Graham P. Oliver, Nikola Ruskuc, Ric...
MOC
2002
72views more  MOC 2002»
13 years 4 months ago
Long-term stability of variable stepsize approximations of semigroups
This paper is concerned with the stability of rational one-step approximations of C0 semigroups. Particular emphasis is laid on long-term stability bounds. The analysis is based on...
Nikolai Bakaev, Alexander Ostermann
SIAMCO
2000
89views more  SIAMCO 2000»
13 years 4 months ago
Stability Radius and Internal Versus External Stability in Banach Spaces: An Evolution Semigroup Approach
In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems. These include autonomous and...
Stephen Clark, Yuri Latushkin, Stephen Montgomery-...
SCL
2008
62views more  SCL 2008»
13 years 4 months ago
Nuclearity of Hankel operators for ultradifferentiable control systems
Nuclearity of the Hankel operator is a known sufficient condition for convergence of Lyapunov-balanced truncations. We show how a previous result on nuclearity of Hankel operators...
Mark R. Opmeer
DM
2008
102views more  DM 2008»
13 years 4 months ago
Largest subsemigroups of the full transformation monoid
In this paper we are concerned with the following question: for a semigroup S, what is the largest size of a subsemigroup T S where T has a given property? The semigroups S that w...
R. Gray, J. D. Mitchell
DLT
2003
13 years 6 months ago
On Deterministic Finite Automata and Syntactic Monoid Size, Continued
We continue our investigation on the relationship between regular languages and syntactic monoid size. In this paper we confirm the conjecture on two generator transformation semi...
Markus Holzer, Barbara König