Selected Publications (since 1990)

BOOKS

(with A.~J.~Pritchard) ``Mathematical Systems Theory I. Modelling, State Space Analysis, Stability and Robustness.'' {\em Texts in Applied Mathematics} {\bf 48}, Springer-Verlag, Berlin Heidelberg 2005, 804 pages.
(with J.L. Fernandez, A. Fraguela Collar, A. Alvarez Prieto) ``Topologia General'', Augmented second edition: {\em Aportaciones Matem\'{a}ticas, Textos} {\bf 22}, Sociedad Matem\'{a}tica Mexicana, M\'{e}xico D.F. 2003, 668 pages.
(with V. Blondel, J. Rosenthal, P. Van Dooren, eds.), Fourth Special Issue on Linear Systems and Control, {\em Linear Algebra and its Applications} 351-352 (2002), 1-826.

PAPERS

Interconnected systems
Spectral value sets (Pseudospectra, Spectral portraits)
Transient behaviour
Stability radii and disturbance attenuation for stochastic systems
Robust stability of positive systems
Robust stability and stability radii of deterministic systems
Stability of uncertain polynomials
(Block) Hankel matrices, rational functions and partial realizations
Orbit closures, high gain feedback and singular systems

1. Interconnected systems

2. Spectral value sets (Pseudospectra)

(with E. Gallestey, A. J. Pritchard) `` Spectral Value Sets of Closed Linear Operators ''. {\em Proc R. Soc. Lond. A} {\bf 456} (2000), 1397-1418. 745 KBytes.
(with B. Kelb) ``Stability radii and spectral value sets for real matrix perturbations''. in: {\em Systems and Networks: Mathematical Theory and Applications, Vol.II Invited and Contributed Papers}, Akademie-Verlag, Berlin 1994, 217-220. 320 KBytes.
(with B. Kelb) ``Spectral value sets: a graphical tool for robustness analysis''.{\em Systems and Control Letters} 21 (1993), 127-136. 7856 KBytes.
(with A. J. Pritchard) ``On spectral variations under bounded real matrix perturbations '', {\em Numerische Mathematik} 60 (1992), 509-524. 601 KBytes.
(with A. J. Pritchard) `` On the robustness of stable discrete time linear systems '', in: {\em New Trends in Systems Theory} , Proc. Conf. Genoa 1990, Birkh\"auser 1991, 393-400. 400 KBytes.

3. Transient behaviour

(with E. Plischke) ``` Robust stability and transient behaviour of positive linear systems'', {\em Vietnam Journal of Mathematics}, (Special Issue in honor of Hoang Tuy {2007/08}). To appear.
(with V. L. Kharitonov) , `` Exponential estimates for time delay systems ''.{\em Systems\&Control Letters} {\bf 53} (2004), 395-405. 324 KBytes.
(with E. Plischke, F. Wirth) , `` State feedback stabilization with guaranteed transient bounds ''. Proc. {\em Symp. on Mathematical Theory of Networks and Systems}, Paper 2134, MTNS-2002, Notre Dame (Indiana, USA), CD-ROM, 2002. 256 KBytes.
(with E. Plischke, A. J. Pritchard) , ``On the transient behaviour of stable linear systems ''. {\em Proc. 6th European Control Conf.}, CD-ROM, Porto 2001. 491 KBytes.

4. Stability radii and disturbance attenuation for stochastic systems

(with T. Damm ), ``Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces ''. {\em Lin. Algebra and its Appl.} 363 (2003), 43-64 , 300 KBytes.
(with T. Damm ), ``Newton's method for a rational matrix equation occuring in stochastic control ''. {\em Lin. Algebra and its Appl.} 332-334 (2001), 81-109, 376 KBytes.
(with A. El Bouhtouri, A. J. Pritchard), `` Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations ''. {\em Automatica} 36 (2000), 1033--1040, 237 KBytes.
(with A. El Bouhtouri, A. J. Pritchard), `` On the disturbance attenuation problem for a wide class of time invariant linear stochastic systems ''. {\em Stochastics and Stochastics Reports } 65 (1999), 255-297, 697 KBytes.
(with A. El Bouhtouri, A. J. Pritchard), `` $H^\infty$ type control for discrete-time stochastic systems ''. {\em International J. Robust and Nonlinear Control} 9 (1999), 923-948, 565 KBytes.
(with A. J. Pritchard), ``Stochastic $H_\infty$''. {\em SIAM J. Control and Optimization} 36 (1998), 1504-1538, 470 KBytes.
(with A. J. Pritchard) ``Stability radii of systems with stochastic uncertainty and their optimization by output feedback''. {\em SIAM J. Control and Optimization} 34 (1996), 1972-1998. 772 KBytes.
(with A. J. Pritchard) ``Stability radii for infinite dimensional systems with stochastic uncertainty''. {\em Proc. 3rd. European Control Conference}, Rome 1995, 3291-3293. 244 KBytes.
(with A. J. Pritchard) ``Stability margins for systems with deterministic and stochastic uncertainty''. {\em Proc. 33rd Conf. Decision and Control}, Florida 1994, 3825-3826. 272 KBytes.

5. Robust stability of positive systems

(with P.H.A. Ngoc, N. K. Son) ``Stability radii of positive higher order difference system ''. {\em Systems\&Control Letters} {\bf 49} (2003), 377-388. 208 KBytes.
(with A. Fischer, N.K. Son) `` Stability radii of Metzler operators ''.{\em Vietnam J. Mathematics} 26 (1998), 147-163. 336 KBytes.
(with N.K. Son) `` Stability radii of positive discrete-time systems under affine parameter perturbations ''. {\em International J. Robust and Nonlinear Control} 8, 1169-1188, 1998. 605 KBytes.
(with N.K. Son). `` Stability of positive systems under blockdiagonal perturbations'', {Proc. 3rd Internat. Symp. Methods and Models in Automation and Robotics}, Miedzyzdroje, Poland, 1996, vol. 1, 27-34. Extended version:\\ ``$\mu$-analysis and robust stability of positive linear systems '', {\em Appl. Math. and Comp. Sci.} 8, 253-268, 1998. 192 KBytes.
(with N.K. Son). ``On structured singular values and robust stability of positive systems under affine perturbations''. {\em Vietnam J. Mathematics} 24 (1996), 113-119. 329 KBytes.
(with N.K. Son). ``Robust stability of positive continuous time systems''. {\em Numer. Funct. Anal. Optim.} 17 (1996), 649-659. 496 Kbytes.
(with N.K. Son). ``Stability radii of positive discrete-time systems''.{\em Proc. Third International Conference on Approximation and Optimization, Puebla, Mexico, 1995}, 13 pages. 144 KBytes. (Proc. available on the EMIS Master Server: http://www.emis.de/proceedings/index.html)

6. Robust stability and stability radii of deterministic systems

(with A. J. Pritchard) ``Robust stability of linear evolution operators on Banach spaces''. {\em SIAM J. Control and Optimization} 32 (1994), 1503-1541. 875 KBytes.
(with F. Wirth) ``On stability radii of infinite dimensional time-varying discrete-time systems''. {\em IMA J. Mathematical Control and Information} 11 (1994), 253-276. 424 KBytes.
(with A. J. Pritchard) ``Stability of uncertain systems''. in: {\em Systems and Networks: Mathematical Theory and Applications, Vol.I Key Invited Lectures}, Akademie-Verlag, Berlin 1994, 159-182. 632 KBytes.
(with A. J. Pritchard) ``Robust exponential stability of time--varying linear systems under time--varying parameter perturbations''. {\em International J. Robust and Nonlinear Control} 3 (1993), 63-83. 648 KBytes.
(with G. Pappas) ``Robust stability of linear systems described by higher order dynamic equations ''. {\em IEEE Trans. Autom. Control} 38 (1993), 1430-1435. 438 KBytes.
(with A.J. Pritchard) ``Robustness measures for linear systems with applications to stability radii of Hurwitz and Schur polynomials'', {\em International J. of Control} 55 (1992). 809-844.
(with A. J. Pritchard) ``Destabilization by output feedback''. {\em Differential and Integral Equations} 5 (1992), 357-386. 744 KBytes.
(with N. K. Son) ``Stability radii of linear discrete--time systems and symplectic pencils''. {\em International J. Robust and Nonlinear Control} 1 (1991), 79-97. 856 KBytes.
(with A. J. Pritchard) ``Real and complex stability radii: a survey'', in: D. Hinrichsen and B. M{\aa}rtensson (eds.) {\em Control of Uncertain Systems, Proc. International Workshop Bremen 1989}, Birkh\"auser 1990, 119-162.
(with A. J. Pritchard) ``A note on some differences between real and complex stability radii'', {\em Systems and Control Letters} 14 (1990), 401-409.

7. Stability of uncertain polynomials

(with L. Atanassova, V. L. Kharitonov). `` Convex directions for stable polynomials and quasipolynomials: A survey of recent results'', in: {\em L.Dugard and E.I. Verriest (eds.), Stability and control of time-delay systems}, Springer-Verlag, London 1997, 72--88. 228 KBytes.
(with V. L. Kharitonov) `` Stability of polynomials with conic uncertainties '', {\em Mathematics of Control, Signals and Systems} 8 (1995), 97-117.
(with V. L. Kharitonov) `` On convex directions for stable polynomials '', Report 309, Inst. f. Dynamische Systeme, Universit\"at Bremen 1994. Russian version in: {\em Automatika i Telemekhanika}, 1997, 81--92. 929 KBytes

8. (Block) Hankel matrices, rational functions and partial realizations

(with W. Manthey and U. Helmke). `` Minimal partial realization by descriptor systems ''. {\em Lin. Algebra and its Appl.} {\bf 326} (2001), 45-84. 396 KBytes.
(with U. Helmke, W. Manthey ). `` Generalized partial realizations ''. in:{\em U. Helmke, D. Pr\"atzel-Wolters and E. Zerz (eds.) Operators, Systems and Linear Algebra. Three Decades of Algebraic Systems Theory. (Fuhrmann-Festschrift)}. B. G. Teubner, Stuttgart 1997, 138--156. 541 KBytes.
(with W. Manthey and U. Helmke). `` On Fischer-Frobenius transformations and the structure of rectangular block Hankel matrices''. {\em Linear and Multilinear Algebra} 41 (1996), 255-288. 767 KBytes.
(with W. Manthey) ``On a cell decomposition for Hankel matrices and rational functions''. {\em J. reine angew. Mathematik} 451 (1994), 15 - 50. 384 KBytes.
(with W. Manthey, U. Helmke) ``Topological aspects of the partial realization problem'', {\em Mathematics of Control, Signals and Systems} 5 (1992), 117 - 149.

9. Orbit closures, high gain feedback and singular systems

(with J. O'Halloran) ``Limits of Generalized State Space Systems under Proportional and Derivative Feedback''. {\em Mathematics of Control, Signals and Systems}, 10 (1997), 97-124. 463 KBytes.
(with J. O'Halloran) ``A pencil approach to high gain feedback and generalized state space systems''. {\em Kybernetika} 31 (1995), 109-139. 720 KBytes.
(with H. Gl{\"u}sing-L{\"u}er{\ss}en) ``The degeneration of reachable singular systems under feedback-transformations,'' {\em Kybernetika} 30 (1994), 387-391.
(with J. O'Halloran) ``Orbit closures of singular matrix pencils''. {\em J. Pure and Applied Algebra} 81 (1992), 117-137. 528 KBytes.
(with J. O'Halloran) ``A complete characterization of orbit closures of controllable singular systems under restricted system equivalence'', {\em SIAM J. Control and Optimization} 28 (1990), 602--623

Last modified: November 2007