His scientific interests lie mostly in Optimal control, Control theory, Mathematical optimization, Mathematical model and Maximum principle. Heinz Schättler mostly deals with Singular control in his studies of Optimal control. The study incorporates disciplines such as Bang–bang control and Cell cycle in addition to Singular control.
His Control theory research incorporates themes from Parameter space and Degradation. In the subject of general Mathematical optimization, his work in Exponential utility and Stochastic control is often linked to Moral hazard and Convexity, thereby combining diverse domains of study. His biological study spans a wide range of topics, including Flow, Approximations of π, Pontryagin's minimum principle, Regular polygon and Perspective.
His primary areas of investigation include Optimal control, Mathematical optimization, Singular control, Control theory and Cancer chemotherapy. He is involved in the study of Optimal control that focuses on Maximum principle in particular. Heinz Schättler interconnects Anti angiogenesis, Quadratic equation, Piecewise and Constant in the investigation of issues within Mathematical optimization.
His Singular control research incorporates elements of Equilibrium point, Bang–bang control, Transversality and Bone marrow. His research investigates the connection with Control theory and areas like Topology which intersect with concerns in State space. The various areas that Heinz Schättler examines in his Cancer chemotherapy study include Pharmacokinetics, Oncology and Drug.
Heinz Schättler mainly investigates Optimal control, Singular control, Mathematical optimization, Mathematical model and Cancer chemotherapy. In his study, he carries out multidisciplinary Optimal control and Homogeneous research. His Singular control study incorporates themes from Order, Interpretation and Field.
His Mathematical optimization research is multidisciplinary, incorporating elements of Bilinear interpolation and Theory of computation. The Mathematical model study combines topics in areas such as Stability, Structure, Theoretical computer science and Feature. His Immune system research focuses on Bioinformatics and how it connects with Metronomic Chemotherapy.
The scientist’s investigation covers issues in Optimal control, Singular control, Chemotherapy, Metronomic Chemotherapy and Oncology. Optimal control is a primary field of his research addressed under Mathematical optimization. Heinz Schättler focuses mostly in the field of Singular control, narrowing it down to matters related to Cancer chemotherapy and, in some cases, Tumor heterogeneity.
His work on Maximum tolerated dose as part of general Chemotherapy research is frequently linked to Homogeneous, thereby connecting diverse disciplines of science. His Immune system research is multidisciplinary, relying on both Cancer research, Cyclophosphamide and Bioinformatics. His Dimension study which covers Applied mathematics that intersects with Constant, Continuum, Equilibrium point and Stable manifold.
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Local bifurcations and feasibility regions in differential-algebraic systems
V. Venkatasubramanian;H. Schattler;J. Zaborszky.
IEEE Transactions on Automatic Control (1995)
Geometric Optimal Control: Theory, Methods and Examples
Heinz M. Schättler;Urszula Ledzewicz.
(2012)
The First-Order Approach to the Continuous-Time Principal–Agent Problem with Exponential Utility
Heinz Schättler;Jaeyoung Sung.
Journal of Economic Theory (1993)
Geometric Optimal Control
Heinz Schättler;Urszula Ledzewicz.
(2012)
Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability]
V. Venkatasubramanian;H. Schattler;J. Zaborsky.
Proceedings of the IEEE (1995)
Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
U. Ledzewicz;H. Schättler.
Journal of Optimization Theory and Applications (2002)
AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem
Urszula Ledzewicz;Heinz Schättler.
Siam Journal on Control and Optimization (2007)
Global voltage dynamics: study of a generator with voltage control, transmission, and matched MW load
V. Venkatasubramanian;H. Schattler;J. Zaborszky.
conference on decision and control (1990)
On optimal delivery of combination therapy for tumors
Alberto d’Onofrio;Urszula Ledzewicz;Helmut Maurer;Heinz Schättler.
Bellman Prize in Mathematical Biosciences (2009)
Optimal Control for Mathematical Models of Cancer Therapies: An Application of Geometric Methods
Heinz Schättler;Urszula Ledzewicz.
(2015)
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