Speaker
Volker Mehrmann
(TU Berlin, Inst. f. Mathematik)
Description
Different representations of asymptotically/exponentially stable evolution equations are studied. These arise from the solution of Lyapunov inequalities. We discuss the construction of optimal representations via different criteria: Field of values, optimal decay, maximal coercivity, distance to instability. We discuss finite dimensional problems and infinite dimensional problems with bounded operators. Furthermore the evolution equations are studied in continuous and discrete time.
This summary of recent publications presents work with different coauthors: A. Arnold, C. Beattie, S. Egger, E. Nigsch, P. Van Dooren, H. Xu, H. Zwart
Author
Volker Mehrmann
(TU Berlin, Inst. f. Mathematik)