Otomar Hájek
Czech mathematician
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Mathematics
Otomar Hájek's Degrees
- PhD Mathematics Czech Technical University in Prague
Why Is Otomar Hájek Influential?
(Suggest an Edit or Addition)According to Wikipedia, Otomar Hájek was a Czech-American mathematician, known for his contributions to dynamical systems, game theory and control theory. He was born in Belgrade in Serbia, moving with his family to Prague in 1935, to the Netherlands in 1939 and via Algerie and southern France to London in 1940 where they lived until 1945 when they returned to Prague. After high school in 1949 he studied mathematics at Charles University in Prague, resulting in a Ph.D. in 1963 on a thesis entitled Dynamical systems in the plane. At the same place he joined the mathematics and physics faculty in 1965, before moving in 1968 to Cleveland and Case Western Reserve University where he worked until 1995 as professor, becoming an emeritus in 1996.
Otomar Hájek's Published Works
Published Works
- Discontinuous differential equations, II (1979) (151)
- Local Semi-Dynamical Systems (1969) (113)
- Exponential trichotomy of differential systems (1988) (88)
- Dynamical Systems in the Plane. (1968) (55)
- Pursuit Games: An Introduction to the Theory and Applications of Differential Games of Pursuit and Evasion (2008) (47)
- Exponential dichotomy and trichotomy of nonlinear differential equations (1990) (41)
- Control theory in the plane (1991) (38)
- Analysis of switched linear systems in the plane, part 2: Global behavior of trajectories, controllability and attainability (1987) (37)
- Geometric Theory of Time-Optimal Control (1971) (30)
- Notes on quotient maps (1966) (23)
- Analysis of switched linear systems in the plane, part 1: Local behavior of trajectories and local cycle geometry (1987) (23)
- Terminal manifolds and switching locus (1972) (22)
- L1-optimization in linear systems with bounded controls (1979) (16)
- Review: S. G. Pandit and S. G. Deo, Differential systems involving impulses (1985) (15)
- Controllability properties of constrained linear systems (1992) (12)
- On the number of roots of exp-trig polynomials (1977) (11)
- Sections of dynamical systems in $E^2$ (1965) (10)
- Structure of dynamical systems (1965) (10)
- Reachability properties of constrained linear systems (1992) (10)
- Duality for differential games and optimal control (1974) (10)
- Theory of processes, II (1967) (9)
- Prolongations in topological dynamics (1970) (9)
- Absolute stability of noncompact sets (1971) (8)
- Local characterisation of local semi-dynamical systems (1968) (5)
- On a general method for solving time-optimal linear control problems (1982) (5)
- Non-minimality of 3-Manifolds (1973) (4)
- Homological fixed point theorems. III (1964) (4)
- Exponential Dichotomy of Nonlinear Systems of Ordinary Differential Equations (1985) (4)
- Cores of targets in linear control systems (1974) (3)
- Prolongation of sections in local dynamical systems (1966) (3)
- Bilinear Control: Geometric Properties of Reachable Sets (1988) (3)
- Disconjugacy and optimal control (1979) (2)
- Direct decompositions of lattices, I (1957) (2)
- Cycle periods of plane dynamical systems (1964) (2)
- Representation of finite-length modular lattices (1965) (2)
- Toward a general theory of pursuit and evasion (1977) (1)
- On Brunovský's example (1980) (1)
- Bilinear Control: Rank-one Inputs (2005) (1)
- Flows and periodic motions (1965) (1)
- Algorithm 173: assign (1963) (1)
- Linear semi-dynamical systems (1968) (1)
- Global Differentiable Dynamics (1971) (1)
- A Connection between Optimal Control and Disconjugacy (1976) (1)
- Advanced Problems: 6609-6611 (1989) (1)
- Advanced Problems: 5209-5217 (1964) (0)
- Compactness and asymptotic stability (1970) (0)
- The positive prolongation (1969) (0)
- Betti numbers of regions of attraction (1964) (0)
- Bilinear Control Systems. Special Types (2002) (0)
- Local semi-dynamical systems: Basic definitions and properties (1969) (0)
- Controllability notions: equivalency and sets of controllable points (1992) (0)
- Flow near an invariant set (1969) (0)
- The start point set (1969) (0)
- Metric Completion Simplified (1968) (0)
- Minimality; Characteristic O (1969) (0)
- Direct decompostions of lattices, II (1962) (0)
- Advanced Problems: 6168-6173 (1977) (0)
- Functional equations for trigonometric functions (1955) (0)
- Stability and orbital stability (1969) (0)
- Pursuit Games: A Survey (1975) (0)
- Examples of Control Systems (2009) (0)
- Solutions: Negative continuation (1969) (0)
- DIRECT DECOMPOSITIONS OF LATTICES, II (2020) (0)
- Identification of control systems by performance (1971) (0)
- Global differentiable dynamics : proceedings of the conference held at Case Western Reserve University, Cleveland, Ohio, June 2-6, 1969 (1971) (0)
- Functional-differential equations (1969) (0)
- Advanced Problems: 6529-6530 (1986) (0)
- Limit points which are not sequentially attainable (1971) (0)
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