## Hinrichsen, Diederich

Compute Distance To:
 Author ID: hinrichsen.diederich Published as: Hinrichsen, Diederich; Hinrichsen, D. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 104 Publications since 1966, including 6 Books 6 Contributions as Editor Reviewing Activity: 45 Reviews Biographic References: 1 Publication Co-Authors: 36 Co-Authors with 101 Joint Publications 731 Co-Co-Authors
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### Co-Authors

 9 single-authored 28 Pritchard, Anthony J. 10 Prätzel-Wolters, Dieter 10 Nguyen Khoa Son 8 Manthey, Wilfried 8 O’Halloran, Joyce 7 Helmke, Uwe R. 5 Kharitonov, Vladimir Leonidovich 4 Colonius, Fritz 3 El Bouhtouri, A. 3 Kelb, Bernd 3 Krause, Ulrich 3 Rath, Hans-Josef 3 Wanschura, M. 2 Atanassova, Lilija C. 2 Curtain, Ruth Frances 2 Damm, Tobias 2 Gluesing-Luerssen, Heide 2 Ilchmann, Achim 2 Linnemann, Arno 2 Philippsen, Hans-Werner 1 Álvarez Prieto, Ángel 1 Bauer, Heinz 1 Collar, Andrés Fraguela 1 Gallestey, Eduardo 1 Isidori, Alberto 1 Karow, Michael 1 Mårtensson, Bengt 1 Motscha, Matthias 1 Münzner, Hans 1 Oeljeklaus, Eberhard 1 Pappas, Georgios S. 1 Pham Huu Anh Ngoc 1 Plischke, Elmar 1 Townley, Stuart B. 1 Willems, Jan Camiel 1 Wirth, Fabian Roger
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### Serials

 8 SIAM Journal on Control and Optimization 8 Systems & Control Letters 8 Linear Algebra and its Applications 5 International Journal of Control 4 MCSS. Mathematics of Control, Signals, and Systems 4 International Journal of Robust and Nonlinear Control 3 Vietnam Journal of Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Automatica 2 IEEE Transactions on Automatic Control 2 Kybernetika 2 IMA Journal of Mathematical Control and Information 2 Systems Analysis, Modelling Simulation 2 Automatisierungstechnik 2 Texts in Applied Mathematics 1 Linear and Multilinear Algebra 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Annales de l’Institut Fourier 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Regelungstechnik 1 Revista Ciencias Matemáticas 1 Differential and Integral Equations 1 Applied Mathematics and Computer Science 1 Automation and Remote Control 1 Stochastics and Stochastics Reports 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the American Mathematical Society 1 Operations-Research-Verfahren 1 Lecture Notes in Control and Information Sciences 1 Methods of Operations Research 1 Aportaciones Matematicas. Textos 1 IEEE Control Systems
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### Fields

 89 Systems theory; control (93-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 15 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 6 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 1,264 times in 822 Documents Cited by Year
Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. Zbl 1074.93003
Hinrichsen, Diederich; Pritchard, Anthony J.
2005
Stochastic $$H^\infty$$. Zbl 0914.93019
Hinrichsen, D.; Pritchard, A. J.
1998
Stability radius for structured perturbations and the algebraic Riccati equation. Zbl 0626.93054
Hinrichsen, Diederich; Pritchard, A. J.
1986
Stability radii of linear systems. Zbl 0631.93064
Hinrichsen, Diederich; Pritchard, A. J.
1986
$$H^\infty$$-type control for discrete-time stochastic systems. Zbl 0934.93022
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
1999
Robust stability of positive continuous time systems. Zbl 0859.93046
Son, N. K.; Hinrichsen, D.
1996
Real and complex stability radii: A survey. Zbl 0729.93056
Hinrichsen, Diederich; Pritchard, A. J.
1990
Robustness of stability of time-varying linear systems. Zbl 0702.34048
Hinrichsen, Diederich; Ilchmann, Achim; Pritchard, A. J.
1989
Exponential estimates for time delay systems. Zbl 1157.34355
Kharitonov, V. L.; Hinrichsen, D.
2004
Robust stability of linear evolution operators on Banach spaces. Zbl 0817.93055
Hinrichsen, D.; Pritchard, A. J.
1994
Stability radii of positive discrete-time systems under affine parameter perturbations. Zbl 0918.93036
Hinrichsen, D.; Son, N. K.
1998
Spectral value sets: A graphical tool for robustness analysis. Zbl 0785.93030
Hinrichsen, Diederich; Kelb, B.
1993
Stability radii of higher order positive difference systems. Zbl 1157.93468
Hinrichsen, D.; Son, Nguyen Khoa; Ngoc, Pham Huu Anh
2003
Newton’s method for a rational matrix equation occurring in stochastic control. Zbl 0982.65050
Damm, T.; Hinrichsen, D.
2001
Stability radii of linear discrete-time systems and symplectic pencils. Zbl 0754.93060
Hinrichsen, Diederich; Son, N. K.
1991
Destabilization by output feedback. Zbl 0763.93068
Hinrichsen, Diederich; Pritchard, A. J.
1992
An algorithm for the computation of the structured complex stability radius. Zbl 0692.93023
Hinrichsen, Diederich; Kelb, Bernd; Linnemann, Arno
1989
Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. 1st ed., corrected printing. Zbl 1183.93002
Hinrichsen, Diederich; Pritchard, Anthony J.
2010
Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials. Zbl 0747.93017
Hinrichsen, Diederich; Pritchard, A. J.
1992
Optimal control of functional differential systems. Zbl 0438.49015
Colonius, F.; Hinrichsen, D.
1978
Generalized Hermite matrices and complete invariants of strict system equivalence. Zbl 0509.93017
Hinrichsen, Diederich; Praetzel-Wolters, Dieter
1983
On stability radii of infinite-dimensional time-varying discrete-time systems. Zbl 0812.93055
Wirth, Fabian; Hinrichsen, Diederich
1994
Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces. Zbl 1019.65035
Damm, T.; Hinrichsen, D.
2003
An improved error estimate for reduced-order models of discrete-time systems. Zbl 0702.93020
Hinrichsen, Diederich; Pritchard, A. J.
1990
Solution modules and system equivalence. Zbl 0469.93036
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1980
Stability radii of systems with stochastic uncertainty and their optimization by output feedback. Zbl 0870.93034
Hinrichsen, D.; Pritchard, A. J.
1996
A note on some differences between real and complex stability radii. Zbl 0698.93067
Hinrichsen, Diederich; Pritchard, A. J.
1990
Spectral value sets of closed linear operators. Zbl 0982.47007
Gallestey, E.; Hinrichsen, D.; Pritchard, A. J.
2000
Robust stability of linear systems described by higher order dynamic equations. Zbl 0788.93069
Pappas, Georgios; Hinrichsen, Diederich
1993
Stability of uncertain systems. Zbl 0816.93065
Hinrichsen, D.; Pritchard, A. J.
1994
Topological aspects of the partial realization problem. Zbl 0748.93040
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
1992
Parametrization of (C,A)-invariant subspaces. Zbl 0472.93023
Hinrichsen, Diederich; Münzner, Hans Friedrich; Prätzel-Wolters, Dieter
1981
Interconnected systems with uncertain couplings: Explicit formulae for $$\mu$$-values, spectral value sets, and stability radii. Zbl 1118.15009
Karow, Michael; Hinrichsen, Diederich; Pritchard, Anthony J.
2006
Canonical forms and orbit spaces of linear systems. Zbl 0663.93010
Helmke, Uwe; Hinrichsen, Diederich
1986
On spectral variations under bounded real matrix perturbations. Zbl 0747.65021
Hinrichsen, Diederich; Pritchard, A. J.
1992
Orbit closures of singular matrix pencils. Zbl 0754.15007
Hinrichsen, Diederich; O’Halloran, J.
1992
$$\mu$$-analysis and robust stability of positive linear systems. Zbl 0914.93051
Hinrichsen, Diederich; Son, Nguyen K.
1998
Stability of polynomials with conic uncertainty. Zbl 0856.93077
Hinrichsen, D.; Kharitonov, V. L.
1995
Minimal partial realization by descriptor systems. Zbl 0986.93017
Hinrichsen, D.; Manthey, W.; Helmke, U.
2001
A complete characterization of orbit closures of controllable singular systems under restricted system equivalence. Zbl 0701.93017
Hinrichsen, Diederich; O’Halloran, J.
1990
Stability radii of Metzler operators. Zbl 0919.47027
Fischer, A.; Hinrichsen, D.; Son, N. K.
1998
Optimization problems in the robustness analysis of linear state space systems. Zbl 0659.93053
Hinrichsen, Diederich; Motscha, Matthias
1988
Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations. Zbl 0961.93042
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
2000
Robust exponential stability of time-varying linear systems. Zbl 0782.93063
Hinrichsen, Diederich; Pritchard, A. J.
1993
An application of state space methods to obtain explicit formulae for robustness measures of polynomials. Zbl 0727.93048
Hinrichsen, Diederich; Pritchard, A. J.
1989
A wild quiver in linear systems theory. Zbl 0623.93008
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1987
Riccati equation approach to maximizing the complex stability radius by state feedback. Zbl 0721.93060
Hinrichsen, Diederich; Pritchard, A. J.; Townley, S. B.
1990
Robust stability and transient behaviour of positive linear systems. Zbl 1330.93184
Hinrichsen, D.; Plischke, E.
2007
State and input transformations for reachable systems. A polynomial approach. Zbl 0581.93012
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1985
A Jordan canonical form for reachable linear systems. Zbl 0678.93009
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1989
Randintegrale und nukleare Funktionenräume. Zbl 0165.14702
Hinrichsen, Diederich
1967
On Fischer-Frobenius transformations and the structure of rectangular block Hankel matrices. Zbl 0873.15013
Manthey, W.; Hinrichsen, D.; Helmke, U.
1996
A canonical form for static linear output feedback. Zbl 0539.93009
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1984
The Bruhat decomposition of finite Hankel matrices. Zbl 0589.15019
Hinrichsen, Diederich; Manthey, W.; Prätzel-Wolters, Dieter
1986
A Jordan control canonical form for singular systems. Zbl 0663.93011
Glüsing-Lüerßen, H.; Hinrichsen, Diederich
1988
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
1997
Stability radii and spectral value sets for real matrix perturbations. Zbl 0925.93795
Hinrichsen, D.; Kelb, B.
1994
A pencil approach to high gain feedback and generalized state space systems. Zbl 0862.93033
Hinrichsen, Diederich; O’Halloran, Joyce
1995
On convex directions for stable polynomials. Zbl 0928.93044
Kharitonov, V. L.; Hinrichsen, D.
1997
Canonical forms and parametrization problems in linear systems theory. Zbl 0624.93013
Hinrichsen, Diederich
1985
Metrical and topological aspects of linear control theory. Zbl 0676.93038
Hinrichsen, Diederich
1987
A cell decomposition of the space of real Hankel matrices of rank $$\leq n$$ and some applications. Zbl 0693.15010
Helmke, Uwe; Hinrichsen, Diederich; Manthey, W.
1989
Robustness measures for linear state space systems under complex and real parameter perturbations. Zbl 0714.93010
Hinrichsen, Diederich; Pritchard, A. J.
1990
Adapted integral representations by measures on Choquet boundaries. Zbl 0146.37101
Hinrichsen, D.
1966
Einige Eigenschaften lokal-kompakter konvexer Mengen und ihrer projektiven Limiten. Zbl 0152.12302
Hinrichsen, D.; Bauer, Heinz
1967
Stability radii of positive discrete-time systems. Zbl 0917.93056
Hinrichsen, D.; Son, N. K.
1997
On the robustness of stable discrete time linear systems. Zbl 0736.93053
Hinrichsen, Diederich; Pritchard, A. J.
1991
Stability radii of positive dynamical systems. Zbl 0900.93307
Hinrichsen, D.; Son, N. K.
1996
Limits of generalized state space systems under proportional and derivative feedback. Zbl 0935.93040
Hinrichsen, D.; O’Halloran, J.
1997
A note on the orbit closure problem for the generalized feedback group. Zbl 0925.93401
Hinrichsen, D.; O’Halloran, J.
1994
On the disturbance attenuation problem for a wide class of time invariant linear stochastic systems. Zbl 0917.93020
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
1999
Stability radii of positive discrete-time systems. Zbl 0978.93051
Hinrichsen, D.; Son, N. K.
1998
On a cell decomposition for Hankel matrices and rational functions. Zbl 0796.47013
Manthey, W.; Hinrichsen, Diederich
1994
A note on the geometry of partial realization. Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
1990
A canonical form for multinomial systems. Zbl 0581.93011
Hinrichsen, Diederich
1984
On structured singular values and robust stability of positive systems under affine perturbations. Zbl 1066.93507
Hinrichsen, Diederich; Nguyen Khoa Son
1996
Normalformen vom Hermite-Typ und die Berechnung dominanter Hermite- Indizes strukturierter Systeme. Zbl 0534.93012
Hinrichsen, D.; Linnemann, A.
1984
Composite systems with uncertain couplings of fixed structure: scaled Riccati equations and the problem of quadratic stability. Zbl 1176.93034
Hinrichsen, Diederich; Pritchard, Anthony J.
2009
The orbit closure problem for matrix pencils: Necessary conditions and an application to high gain feedback. Zbl 0736.93032
Hinrichsen, Diederich; O’Halloran, Joyce
1991
A substitution theorem for joint production models with disposal processes. Zbl 0467.90017
Hinrichsen, Diederich; Krause, Ulrich
1981
Unique representation in convex sets by extraction of marked components. Zbl 0506.90068
Hinrichsen, D.; Krause, U.
1983
Convex directions for stable polynomials and quasipolynomials: A survey of recent results. Zbl 0922.93045
Atanassova, L.; Hinrichsen, D.; Kharitonov, V. L.
1998
Gershgorin-Brualdi perturbations and Riccati equations. Zbl 1124.93045
Hinrichsen, Diederich; Pritchard, Anthony J.
2007
Choice of techniques in joint production models. Zbl 0403.90019
Hinrichsen, D.; Krause, U.
1979
A stability radius for time-varying linear systems. Zbl 0815.93060
Hinrichsen, D.; Ilchmann, Achim; Pritchard, A. J.
1992
Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. 1st ed., corrected printing. Zbl 1183.93002
Hinrichsen, Diederich; Pritchard, Anthony J.
2010
Composite systems with uncertain couplings of fixed structure: scaled Riccati equations and the problem of quadratic stability. Zbl 1176.93034
Hinrichsen, Diederich; Pritchard, Anthony J.
2009
Robust stability and transient behaviour of positive linear systems. Zbl 1330.93184
Hinrichsen, D.; Plischke, E.
2007
Gershgorin-Brualdi perturbations and Riccati equations. Zbl 1124.93045
Hinrichsen, Diederich; Pritchard, Anthony J.
2007
Interconnected systems with uncertain couplings: Explicit formulae for $$\mu$$-values, spectral value sets, and stability radii. Zbl 1118.15009
Karow, Michael; Hinrichsen, Diederich; Pritchard, Anthony J.
2006
Mathematical systems theory. I. Modelling, state space analysis, stability and robustness. Zbl 1074.93003
Hinrichsen, Diederich; Pritchard, Anthony J.
2005
Exponential estimates for time delay systems. Zbl 1157.34355
Kharitonov, V. L.; Hinrichsen, D.
2004
Stability radii of higher order positive difference systems. Zbl 1157.93468
Hinrichsen, D.; Son, Nguyen Khoa; Ngoc, Pham Huu Anh
2003
Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces. Zbl 1019.65035
Damm, T.; Hinrichsen, D.
2003
Newton’s method for a rational matrix equation occurring in stochastic control. Zbl 0982.65050
Damm, T.; Hinrichsen, D.
2001
Minimal partial realization by descriptor systems. Zbl 0986.93017
Hinrichsen, D.; Manthey, W.; Helmke, U.
2001
Spectral value sets of closed linear operators. Zbl 0982.47007
Gallestey, E.; Hinrichsen, D.; Pritchard, A. J.
2000
Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations. Zbl 0961.93042
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
2000
$$H^\infty$$-type control for discrete-time stochastic systems. Zbl 0934.93022
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
1999
On the disturbance attenuation problem for a wide class of time invariant linear stochastic systems. Zbl 0917.93020
El Bouhtouri, A.; Hinrichsen, D.; Pritchard, A. J.
1999
Stochastic $$H^\infty$$. Zbl 0914.93019
Hinrichsen, D.; Pritchard, A. J.
1998
Stability radii of positive discrete-time systems under affine parameter perturbations. Zbl 0918.93036
Hinrichsen, D.; Son, N. K.
1998
$$\mu$$-analysis and robust stability of positive linear systems. Zbl 0914.93051
Hinrichsen, Diederich; Son, Nguyen K.
1998
Stability radii of Metzler operators. Zbl 0919.47027
Fischer, A.; Hinrichsen, D.; Son, N. K.
1998
Stability radii of positive discrete-time systems. Zbl 0978.93051
Hinrichsen, D.; Son, N. K.
1998
Convex directions for stable polynomials and quasipolynomials: A survey of recent results. Zbl 0922.93045
Atanassova, L.; Hinrichsen, D.; Kharitonov, V. L.
1998
Generalized partial realizations. Zbl 0890.93017
Manthey, W.; Helmke, U.; Hinrichsen, D.
1997
On convex directions for stable polynomials. Zbl 0928.93044
Kharitonov, V. L.; Hinrichsen, D.
1997
Stability radii of positive discrete-time systems. Zbl 0917.93056
Hinrichsen, D.; Son, N. K.
1997
Limits of generalized state space systems under proportional and derivative feedback. Zbl 0935.93040
Hinrichsen, D.; O&rsquo;Halloran, J.
1997
Robust stability of positive continuous time systems. Zbl 0859.93046
Son, N. K.; Hinrichsen, D.
1996
Stability radii of systems with stochastic uncertainty and their optimization by output feedback. Zbl 0870.93034
Hinrichsen, D.; Pritchard, A. J.
1996
On Fischer-Frobenius transformations and the structure of rectangular block Hankel matrices. Zbl 0873.15013
Manthey, W.; Hinrichsen, D.; Helmke, U.
1996
Stability radii of positive dynamical systems. Zbl 0900.93307
Hinrichsen, D.; Son, N. K.
1996
On structured singular values and robust stability of positive systems under affine perturbations. Zbl 1066.93507
Hinrichsen, Diederich; Nguyen Khoa Son
1996
Stability of polynomials with conic uncertainty. Zbl 0856.93077
Hinrichsen, D.; Kharitonov, V. L.
1995
A pencil approach to high gain feedback and generalized state space systems. Zbl 0862.93033
Hinrichsen, Diederich; O&rsquo;Halloran, Joyce
1995
Robust stability of linear evolution operators on Banach spaces. Zbl 0817.93055
Hinrichsen, D.; Pritchard, A. J.
1994
On stability radii of infinite-dimensional time-varying discrete-time systems. Zbl 0812.93055
Wirth, Fabian; Hinrichsen, Diederich
1994
Stability of uncertain systems. Zbl 0816.93065
Hinrichsen, D.; Pritchard, A. J.
1994
Stability radii and spectral value sets for real matrix perturbations. Zbl 0925.93795
Hinrichsen, D.; Kelb, B.
1994
A note on the orbit closure problem for the generalized feedback group. Zbl 0925.93401
Hinrichsen, D.; O&rsquo;Halloran, J.
1994
On a cell decomposition for Hankel matrices and rational functions. Zbl 0796.47013
Manthey, W.; Hinrichsen, Diederich
1994
Spectral value sets: A graphical tool for robustness analysis. Zbl 0785.93030
Hinrichsen, Diederich; Kelb, B.
1993
Robust stability of linear systems described by higher order dynamic equations. Zbl 0788.93069
Pappas, Georgios; Hinrichsen, Diederich
1993
Robust exponential stability of time-varying linear systems. Zbl 0782.93063
Hinrichsen, Diederich; Pritchard, A. J.
1993
Destabilization by output feedback. Zbl 0763.93068
Hinrichsen, Diederich; Pritchard, A. J.
1992
Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials. Zbl 0747.93017
Hinrichsen, Diederich; Pritchard, A. J.
1992
Topological aspects of the partial realization problem. Zbl 0748.93040
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
1992
On spectral variations under bounded real matrix perturbations. Zbl 0747.65021
Hinrichsen, Diederich; Pritchard, A. J.
1992
Orbit closures of singular matrix pencils. Zbl 0754.15007
Hinrichsen, Diederich; O&rsquo;Halloran, J.
1992
A stability radius for time-varying linear systems. Zbl 0815.93060
Hinrichsen, D.; Ilchmann, Achim; Pritchard, A. J.
1992
Stability radii of linear discrete-time systems and symplectic pencils. Zbl 0754.93060
Hinrichsen, Diederich; Son, N. K.
1991
On the robustness of stable discrete time linear systems. Zbl 0736.93053
Hinrichsen, Diederich; Pritchard, A. J.
1991
The orbit closure problem for matrix pencils: Necessary conditions and an application to high gain feedback. Zbl 0736.93032
Hinrichsen, Diederich; O&rsquo;Halloran, Joyce
1991
Real and complex stability radii: A survey. Zbl 0729.93056
Hinrichsen, Diederich; Pritchard, A. J.
1990
An improved error estimate for reduced-order models of discrete-time systems. Zbl 0702.93020
Hinrichsen, Diederich; Pritchard, A. J.
1990
A note on some differences between real and complex stability radii. Zbl 0698.93067
Hinrichsen, Diederich; Pritchard, A. J.
1990
A complete characterization of orbit closures of controllable singular systems under restricted system equivalence. Zbl 0701.93017
Hinrichsen, Diederich; O&rsquo;Halloran, J.
1990
Riccati equation approach to maximizing the complex stability radius by state feedback. Zbl 0721.93060
Hinrichsen, Diederich; Pritchard, A. J.; Townley, S. B.
1990
Robustness measures for linear state space systems under complex and real parameter perturbations. Zbl 0714.93010
Hinrichsen, Diederich; Pritchard, A. J.
1990
A note on the geometry of partial realization. Zbl 0726.93016
Manthey, W.; Helmke, Uwe; Hinrichsen, Diederich
1990
Robustness of stability of time-varying linear systems. Zbl 0702.34048
Hinrichsen, Diederich; Ilchmann, Achim; Pritchard, A. J.
1989
An algorithm for the computation of the structured complex stability radius. Zbl 0692.93023
Hinrichsen, Diederich; Kelb, Bernd; Linnemann, Arno
1989
An application of state space methods to obtain explicit formulae for robustness measures of polynomials. Zbl 0727.93048
Hinrichsen, Diederich; Pritchard, A. J.
1989
A Jordan canonical form for reachable linear systems. Zbl 0678.93009
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1989
A cell decomposition of the space of real Hankel matrices of rank $$\leq n$$ and some applications. Zbl 0693.15010
Helmke, Uwe; Hinrichsen, Diederich; Manthey, W.
1989
Optimization problems in the robustness analysis of linear state space systems. Zbl 0659.93053
Hinrichsen, Diederich; Motscha, Matthias
1988
A Jordan control canonical form for singular systems. Zbl 0663.93011
Glüsing-Lüerßen, H.; Hinrichsen, Diederich
1988
A wild quiver in linear systems theory. Zbl 0623.93008
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1987
Metrical and topological aspects of linear control theory. Zbl 0676.93038
Hinrichsen, Diederich
1987
Stability radius for structured perturbations and the algebraic Riccati equation. Zbl 0626.93054
Hinrichsen, Diederich; Pritchard, A. J.
1986
Stability radii of linear systems. Zbl 0631.93064
Hinrichsen, Diederich; Pritchard, A. J.
1986
Canonical forms and orbit spaces of linear systems. Zbl 0663.93010
Helmke, Uwe; Hinrichsen, Diederich
1986
The Bruhat decomposition of finite Hankel matrices. Zbl 0589.15019
Hinrichsen, Diederich; Manthey, W.; Prätzel-Wolters, Dieter
1986
State and input transformations for reachable systems. A polynomial approach. Zbl 0581.93012
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1985
Canonical forms and parametrization problems in linear systems theory. Zbl 0624.93013
Hinrichsen, Diederich
1985
A canonical form for static linear output feedback. Zbl 0539.93009
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1984
A canonical form for multinomial systems. Zbl 0581.93011
Hinrichsen, Diederich
1984
Normalformen vom Hermite-Typ und die Berechnung dominanter Hermite- Indizes strukturierter Systeme. Zbl 0534.93012
Hinrichsen, D.; Linnemann, A.
1984
Generalized Hermite matrices and complete invariants of strict system equivalence. Zbl 0509.93017
Hinrichsen, Diederich; Praetzel-Wolters, Dieter
1983
Unique representation in convex sets by extraction of marked components. Zbl 0506.90068
Hinrichsen, D.; Krause, U.
1983
Parametrization of (C,A)-invariant subspaces. Zbl 0472.93023
Hinrichsen, Diederich; Münzner, Hans Friedrich; Prätzel-Wolters, Dieter
1981
A substitution theorem for joint production models with disposal processes. Zbl 0467.90017
Hinrichsen, Diederich; Krause, Ulrich
1981
Solution modules and system equivalence. Zbl 0469.93036
Hinrichsen, Diederich; Prätzel-Wolters, Dieter
1980
Choice of techniques in joint production models. Zbl 0403.90019
Hinrichsen, D.; Krause, U.
1979
Optimal control of functional differential systems. Zbl 0438.49015
Colonius, F.; Hinrichsen, D.
1978
Randintegrale und nukleare Funktionenräume. Zbl 0165.14702
Hinrichsen, Diederich
1967
Einige Eigenschaften lokal-kompakter konvexer Mengen und ihrer projektiven Limiten. Zbl 0152.12302
Hinrichsen, D.; Bauer, Heinz
1967
Adapted integral representations by measures on Choquet boundaries. Zbl 0146.37101
Hinrichsen, D.
1966
all top 5

### Cited by 940 Authors

 38 Zhang, Weihai 30 Hinrichsen, Diederich 29 Pham Huu Anh Ngoc 22 Nguyen Khoa Son 21 Drăgan, Vasile 19 Townley, Stuart B. 16 Ilchmann, Achim 15 Helmke, Uwe R. 15 Pritchard, Anthony J. 15 The Anh Bui 14 Guiver, Chris 14 Lam, James 14 Logemann, Hartmut 12 Shaked, Uri 11 Aguirre-Hernández, Baltazar 11 Morozan, Toader 10 Fuhrmann, Paul A. 10 Gershon, Eli 10 Wirth, Fabian Roger 10 Zhang, Tianliang 9 Hou, Ting 9 Thuan, Do Duc 9 Xu, Shengyuan 9 Zaballa, Ion 8 Benner, Peter 8 Chen, Borsen 8 Damm, Tobias 8 Nguyen Huu Du 8 Puerta, Ferran 8 Shaikin, M. E. 7 Jeribi, Aref 7 Mehrmann, Volker 6 Ammar, Aymen 6 Baragaña, Itziar 6 Colonius, Fritz 6 Guglielmi, Nicola 6 Ivanov, Ivan Ganchev 6 Jacob, Birgit 6 Jiang, Xiushan 6 Kharitonov, Vladimir Leonidovich 6 Ma, Hongji 6 Manthey, Wilfried 6 Naito, Toshiki 6 Valcher, Maria Elena 5 Böttcher, Albrecht 5 Czornik, Adam 5 de la Sen, Manuel 5 Embree, Mark 5 Gao, Ming 5 Hodgson, Dave J. 5 López-Renteria, Jorge-Antonio 5 Mao, Xuerong 5 Michiels, Wim 5 Puerta, Xavier 5 Qiu, Li 5 Sharma, Punit 5 Zhang, Huanshui 4 Beck, Carolyn L. 4 Braverman, Elena 4 Davison, Edward Joseph 4 Deng, Feiqi 4 Fan, Hung-Yuan 4 Farhood, Mazen 4 Feng, Jun’e 4 Filasová, Anna 4 Freiling, Gerhard 4 Hieu, Le Trung 4 Kressner, Daniel 4 Krokavec, Dusan 4 Li, Yan 4 Lin, Xiangyun 4 Linh, Vu Hoang 4 Ma, Limin 4 Malyshev, Alexander N. 4 Niezabitowski, Michał 4 Oberst, Ulrich 4 Osetinskii, N. I. 4 Park, Juhyun (Jessie) 4 Pastravanu, Octavian C. 4 Prätzel-Wolters, Dieter 4 Rebarber, Richard 4 Reis, Timo 4 Rüffer, Björn Sebastian 4 Sadkane, Miloud 4 Sasu, Adina Luminiţa 4 Sasu, Bogdan 4 Sheng, Li 4 Shu, Zhan 4 Sokolov, Viatcheslav I. 4 Song, Bo 4 Thanh, Duong Dang Xuan 4 Van Dooren, Paul M. 4 Verduzco, Fernando 3 Aberkane, Samir 3 Chen, Jie 3 Chen, Tongwen 3 Colaneri, Patrizio 3 Daoud, Houcem 3 Dassios, Ioannis K. 3 Díaz-González, Edgar-Cristian ...and 840 more Authors
all top 5

### Cited in 160 Serials

 94 Systems & Control Letters 73 Linear Algebra and its Applications 70 Automatica 52 International Journal of Control 33 MCSS. Mathematics of Control, Signals, and Systems 29 Mathematical Problems in Engineering 22 International Journal of Robust and Nonlinear Control 20 Applied Mathematics and Computation 19 Journal of Mathematical Analysis and Applications 17 Journal of the Franklin Institute 12 Journal of Computational and Applied Mathematics 12 Journal of Differential Equations 12 SIAM Journal on Control and Optimization 11 Automation and Remote Control 11 European Journal of Control 10 Numerical Functional Analysis and Optimization 10 Asian Journal of Control 9 SIAM Journal on Matrix Analysis and Applications 9 Journal of Systems Science and Complexity 9 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Stochastic Analysis and Applications 7 Journal of Dynamics and Differential Equations 6 Numerische Mathematik 6 Circuits, Systems, and Signal Processing 6 Journal of Difference Equations and Applications 6 Positivity 6 Advances in Difference Equations 5 International Journal of Systems Science 5 Linear and Multilinear Algebra 5 Chaos, Solitons and Fractals 5 BIT 5 Optimal Control Applications & Methods 5 Abstract and Applied Analysis 5 Nonlinear Analysis. Hybrid Systems 4 Computers & Mathematics with Applications 4 Integral Equations and Operator Theory 4 Applied Mathematics Letters 4 Multidimensional Systems and Signal Processing 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 SIAM Journal on Scientific Computing 3 Journal of Mathematical Biology 3 Mathematical Notes 3 Annales de l’Institut Fourier 3 Applied Mathematics and Optimization 3 Fuzzy Sets and Systems 3 Kybernetika 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Theoretical Population Biology 3 Acta Applicandae Mathematicae 3 Computational Mathematics and Modeling 3 Numerical Algorithms 3 Journal of Mathematical Sciences (New York) 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Vietnam Journal of Mathematics 3 International Journal of Applied Mathematics and Computer Science 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Optimization Theory and Applications 2 Journal of Pure and Applied Algebra 2 Mathematical Systems Theory 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Applied Numerical Mathematics 2 International Journal of Adaptive Control and Signal Processing 2 Dynamics and Control 2 Numerical Linear Algebra with Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 International Transactions in Operational Research 2 Journal of Vibration and Control 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete Dynamics in Nature and Society 2 Differential Equations 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Asian-European Journal of Mathematics 2 International Journal of Differential Equations 2 Journal of Theoretical Biology 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Discrete Applied Mathematics 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Matematički Vesnik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Topology and its Applications ...and 60 more Serials
all top 5

### Cited in 43 Fields

 615 Systems theory; control (93-XX) 130 Ordinary differential equations (34-XX) 125 Linear and multilinear algebra; matrix theory (15-XX) 81 Numerical analysis (65-XX) 61 Probability theory and stochastic processes (60-XX) 47 Difference and functional equations (39-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 39 Operator theory (47-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Operations research, mathematical programming (90-XX) 21 Biology and other natural sciences (92-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Functional analysis (46-XX) 13 Computer science (68-XX) 8 Partial differential equations (35-XX) 8 Integral equations (45-XX) 6 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 5 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Algebraic topology (55-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX)

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