Diederich Hinrichsen

Diederich Hinrichsen's AcademicInfluence.com Rankings

Mathematics

#3485

World Rank

#5132

Historical Rank

Measure Theory

#3063

World Rank

#3635

Historical Rank

mathematics Degrees

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Mathematics

Diederich Hinrichsen's Degrees

PhD Mathematics University of Bremen

Why Is Diederich Hinrichsen Influential?

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According to Wikipedia, Diederich Hinrichsen is a German mathematician who, together with Hans W. Knobloch, established the field of dynamical systems theory and control theory in Germany. Life and work Diederich Hinrichsen was born in 1939, and studied mathematics, physics, literature, philosophy, and economics from 1958 to 1965 in Hamburg.

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Diederich Hinrichsen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mathematical Systems Theory I (2006) (405)
Stochastic $H^\infty$ (1998) (359)
Stability radii of linear systems (1986) (345)
Stability radius for structured perturbations and the algebraic Riccati equation (1986) (308)
Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness (2010) (264)
Stochastic H∞ (1998) (262)
H∞-type control for discrete-time stochastic systems (1999) (260)
Real and Complex Stability Radii: A Survey (1990) (218)
Exponential estimates for time delay systems (2004) (148)
Robust Stability of positive continuous time systems (1996) (145)
Control of Uncertain Systems (1990) (122)
An improved error estimate for reduced-order models of discrete-time systems (1990) (87)
Stability radii of positive discrete‐time systems under affine parameter perturbations (1998) (76)
Robust Stability of Linear Evolution Operators on Banach Spaces (1994) (71)
Spectral value sets: a graphical tool for robustness analysis (1993) (71)
Stability radii of higher order positive difference systems (2003) (67)
Newton's method for a rational matrix equation occurring in stochastic control (2001) (58)
New robustness results for linear systems under real perturbations (1988) (56)
Destabilization by output feedback (1992) (56)
Stability Radii of Systems with Stochastic Uncertainty and Their Optimization by Output Feedback (1996) (55)
Robustness of stability of time-varying linear systems (1989) (53)
A note on some differences between real and complex stability radii (1990) (47)
An algorithm for the computation of the structured complex stability radius (1989) (43)
Stability radii of linear discrete‐time systems and symplectic pencils (1991) (43)
Robustness measures for linear systems with application to stability radii of Hurwitz and Schur polynomials (1992) (41)
Modelling, state space analysis, stability and robustness (2005) (39)
Interconnected Systems with Uncertain Couplings: Explicit Formulae for mu-Values, Spectral Value Sets, and Stability Radii (2006) (35)
Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces (2003) (35)
Optimization problems in the robustness analysis of linear state space systems (1989) (35)
Robust stability of linear systems described by higher-order dynamic equations (1993) (33)
Solution modules and system equivalence (1980) (33)
AN APPLICATION OF STATE SPACE METHODS TO OBTAIN EXPLICIT FORMULAE FOR ROBUSTNESS MEASURES OF POLYNOMIALS (1989) (29)
Generalized Hermite Matrices and Complete Invariants of Strict System Equivalence (1983) (28)
\mi-Analysis and robust stability of positive linear systems (1998) (28)
On spectral variations under bounded real matrix perturbations (1991) (27)
Spectral value sets of closed linear operators (2000) (27)
State Feedback Stabilization with Guaranteed Transient Bounds (2002) (26)
Stability of polynomials with conic uncertainty (1995) (25)
Stability Radii of Positive Discrete-Time Systems (1994) (24)
Orbit closures of singular matrix pencils (1992) (23)
On stability radii of infinite–dimensional time–varying discrete––time systems (1994) (21)
Optimal Control of Functional Differential Systems (1978) (21)
Canonical Forms and Orbit Spaces of Linear Systems (1986) (21)
Stability radii of discrete-time stochastic systems with respect to blockdiagonal perturbations (2000) (20)
A complete characterization of orbit closures of controllable singular systems under restricted system equivalence (1990) (19)
Riccati equation approach to maximizing the complex stability radius by state feedback (1990) (19)
Minimal partial realization by descriptor systems (2001) (18)
Topological aspects of the partial realization problem (1992) (18)
Feedback Control of Linear and Nonlinear Systems (1982) (17)
ON CONVEX DIRECTIONS FOR STABLE POLYNOMIALS (1997) (17)
Robust stability and transient behaviour of positive linear systems (2007) (16)
Robust exponential stability of time-varying linear systems (1993) (16)
Parametrization of (C,A)-invariant subspaces (1981) (16)
On the robustness of stable discrete time linear systems (1991) (16)
A wild quiver in linear systems theory (1987) (14)
On the disturbance attenuation problem for a wide class of time invariant linear stochastic systems (1999) (13)
A pencil approach to high gain feedback and generalized state space systems (1995) (12)
A Jordan canonical form for reachable linear systems (1989) (11)
Robustness measures for linear state space systems under complex and real parameter perturbations (1990) (11)
A cell decomposition of the space of real Hankel matrices of rank ⩽ n and some applications (1989) (11)
A Jordan control canonical form for singular systems (1988) (10)
H 1 TYPE CONTROL FOR DISCRETE-TIME STOCHASTICSYSTEMSA (1999) (10)
Stability Radii and Spectral Value Sets for Real Matrix Perturbations (1993) (9)
A canonical form for static linear output feedback (1984) (9)
The Bruhat decomposition of finite Hankel matrices (1986) (9)
Composite Systems with Uncertain Couplings of Fixed Structure: Scaled Riccati Equations and the Problem of Quadratic Stability (2008) (8)
On fischer-frobenius transformations and the structure of rectangular block hankel matrices (1996) (8)
Robustness of stability of linear state space systems with respect to time-varying, nonlinear and dynamic perturbations (1989) (8)
Limits of generalized state space systems under proportional and derivative feedback (1997) (7)
On Stability Radii of Innnite Dimensional Time{varying Discrete Time Systems (1994) (7)
Limits under high gain proportional (and derivative) feedback (1995) (5)
On the robustness of root locations of polynomials under complex and real perturbations (1988) (5)
Jordan echelon forms for linear state and input transformations (1986) (4)
Unique representation in convex sets by extraction of marked components (1983) (4)
The set of controllable multi-input systems is generically convex (2019) (4)
DIFFERENTIAL STATE SPACE DESCRIPTIONS OF NONLINEAR TIME VARIANT HEREDITARY DIFFERENTIAL SYSTEMS (1977) (3)
Orbit closures of matrix pencils and system limits under high gain feedback (1990) (3)
ON STRUCTURED SINGULAR VALUES AND ROBUST STABILITY OF POSITIVE SYSTEMS UNDER AFFINE PERTURBATIONS (1996) (3)
Generalized Partial Realizations (1997) (3)
On a cell decomposition for Hankel matrices and rational functions. (1994) (3)
Stability Radii for Innnite Dimensional Systems with Stochastic Uncertainty (1995) (3)
Spectral value sets of infinite-dimensional systems (1999) (3)
The Bruhat parametrization of infinite real Hankel matrices of rank ⩽ n (1986) (3)
A Note on the Geometry of Partial Realization (1990) (3)
Metrical and topological aspects of linear control theory (1987) (3)
On a rational matrix equation occuring in stochastic control (1999) (3)
On the Spectral Value Set Problem in Infinite Dimen- Sions (1997) (3)
Gershgorin-Brualdi perturbations and Riccati equations (2007) (3)
Convex directions for stable polynomials and quasipolynomials: A survey of recent results (1998) (2)
The Orbit Closure Problem for Matrix Pencils: Neccessary Conditions and an Application to High Gain Feedback (1991) (2)
Convex directions for complex Hurwitz stable polynomials and quasipolynomials (1997) (2)
Robust stability of linear stochastic systems (1999) (2)
Fourth special issue on linear systems and control - Preface (2002) (2)
A note on the degeneration of systems under pencil equivalence (1991) (2)
On robust stability of positive differentiable linear systems (1995) (2)
On convex stability directions for real quasipolynomials (1996) (2)
A stability radius for time-varying linear systems (2005) (2)
A Riccati Approach to Disturbance Attenuation of Discrete Time Stochastic Systems (1998) (1)
Normalformen vom Hermite-Typ und die Berechnung dominanter Hermite-Indizes strukturierter Systeme / Hermite-type canonical forms and the computation of dominant Hermite-indices for structured systems (1984) (1)
Are delay-differential systems generically controllable? (2022) (1)
A Riccati Equation for Stochastic H 1 (1997) (1)
Adapted integral representations by measures on Choquet boundaries (1966) (1)
Stability Radii of Interconnected Positive Systems with Uncertain Couplings (2009) (1)
Approximation of Spectral Value Sets (1998) (1)
The degeneration of reachable singular systems under feedback-transformations (1994) (1)
A Riccati equation for stochastic H∞ (1997) (1)
Stability radii and spectral value sets for generalized Gershgorin perturbations (2006) (0)
Explicit formulae for stability radii of positive polynomial matrices (2002) (0)
On the parameter dependence of a class of rational matrix equations occurring in stochastic optimal control (2000) (0)
Stability radii of positive dynamical systems (1996) (0)
Robustness of transient behavior (2002) (0)
Stochastic H 1 Preliminary Version (0)
Problem 6.3 Robustness of transient behavior (2009) (0)
Introduction to State Space Theory (2005) (0)
Anthony J. Pritchard (1937-2007) [Obituary] (2008) (0)
Matrix (in)equalities for Linear Stochastic Systems (1998) (0)
The Moduli Space of Controllable Singular Systems under Restricted System Equivalence (1990) (0)
Stability radii of interconnected systems with uncertain couplings (2010) (0)
Some Theses Concerning the Application of Mathematical System Theory in the Social Sciences (1976) (0)
On the orbit closure problem for matrix pencils and controllable singular systems (1989) (0)
Feedback control of linear and nonlinear systems : proceedings of the Joint Workshop on Feedback and Synthesis of Linear and Nonlinear Systems, Bielefeld/Rom (1982) (0)
Control of Uncertain Systems: Proceedings of an International Workshop Bremen, West Germany, June 1989 (1990) (0)
Obituary to A. J. Pritchard (2008) (0)

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Diederich Hinrichsen's Academic­Influence.com Rankings