Inverse problem for a system of second order differential
equations described by the triple set of matrices (A,B,C).
Gyroscopic stabilization of circulatory systems.
Stability of second order linear systems.
Publications:
W. Kliem & Chr. Pommer.
On the stability of linear nonconservative systems.
Quart.Appl.Math. 43 , 457-461 (1986).
Christian Pommer & Wolfhard Kliem.
Simultaneously normalizable matrices.
Linear Algbra Appl. 94 , 113-125 (1987).
Viggo Tarnow and Christian Pommer.
Attenuation of sound mufflers with absorption and lateral resonances.
J.Acoust.Soc.Am.Vol. 83 (6) , 2240-2245 (1988).
S.D. Furta, W. Kliem and C. Pommer.
On the Buckling of an Elastic Rotating Beam.
Eur. J. Mech., A/Solids, Vol. 16 (2) , 307-324 (1997).
W. Kliem, C. Pommer, J. Stoustrup.
Stability of Rotor Systems: A Complex Modelling Approach.
ZAMP, Vol. 49 (4), 644-655 (1998).
Hryniv, R., Kliem, W., Lancaster, P., Pommer,C.,
A Precise Bound for gyroscopic Stabilization.
ZAMM, Z. Angew. Math. Mech. Vol. 80 (8), 507-516 (2000).
Wolfhard Kliem and Christian Pommer,
Lyapunov Functions and Solutions of the Lyapunov Matrix Equation for Marginally
Stable Systems.
Operator Theory: Advances and Applications, Vol. 130 , 233-233 (2001).
C.Pommer and W. Kliem,
Stability and response bounds of non-conservative linear systems.
Proceeding from the international conference: PHYSICS and CONTROL (PhysCon 2003).
Pommer,C., Kliem, W.,
Solution of the Lyapunov matrix equation for a system with a time-dependent stiffness matrix.
ZAMM, Z. Angew. Math. Mech. Vol. 84 (1) , 48-52 (2004).
W.Kliem, C.Pommer ,
Stability and response bounds of non-conservative linear systems.
Archive of Applied Mechanics, Vol. 73 (9-10) , 627-637 (2004).
Wolfhard Kliem, Alexei A. Mailybaev and Christian Pommer,
Conditions revisited for asymptotic stability of pervasive damped linear systems.
Journal of Sound and Vibration, Vol. 298 , 471 - 477 (2006).
Christian Pommer and Wolfhard Kliem,
Recent results on stability and response bounds of linear systems - a review.
Schock and Vibration Digest, Vol. 38 (6) , 489-496 (2006).
Christian Pommer and Wolfhard Kliem,
Rotor systems with internal asymmetries: solutions and instabilities.
Not accepted. (2007).
Wolfhard Kliem and Christian Pommer,
Indefinite damping in mechanical systems and gyroscopic stabilization.
Z. angew. Math. Phys. 60 , 785-795 (2009).
Christian Pommer,
On the Inverse Problem of a second order Matrix Polynomial.
Not accepted (2010).
Jacob Stoustrup, Christian Pommer and Wolfhard Kliem,
Stability of systems in second-order form based on structure
preserving similarity
transformations.
Z. angew. Math. Phys. 66 (5) , 2909-2919 (2015).
Wolfhard Kliem and Christian Pommer,
A note on Circulatory Systems: Old and new results.
Z. angew. Math. Mech. 97 (1) , 92-97 (2017).
Christian Pommer and Wolfhard Kliem,
Gyroscopic stabilization of a class of circulatory systems.
Z. angew. Math. Mech. 99 (3) , p. e201800096 (2019).
