Heinz Schättler

发表

Sequential Linear-Quadratic Method for Differential Games with Air Combat Applications

Heinz Schättler, I. Tunay, Hiro Mukai, 2003, Comput. Optim. Appl..

On the Dynamics of Tumor-Immune System Interactions and Combined Chemo- and Immunotherapy

Urszula Ledzewicz, Heinz Schättler, Alberto d’Onofrio, 2012 .

On the role of tumor heterogeneity for optimal cancer chemotherapy

Urszula Ledzewicz, Heinz Schättler, Shuo Wang, 2019, Networks Heterog. Media.

AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2007, SIAM J. Control. Optim..

Minimization of the base transit time in semiconductor devices using optimal control

Heinz Schättler, Paolo Rinaldi, 2003 .

Selective spiking in neuronal populations

Heinz Schättler, ShiNung Ching, Anirban Nandi, 2017, 2017 American Control Conference (ACC).

Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis.

Urszula Ledzewicz, Heinz Schättler, Benjamin Cardwell, 2011, Mathematical biosciences and engineering : MBE.

A local feedback synthesis of time-optimal stabilizing controls in dimension three

Heinz Schättler, H. Schättler, 1991, Math. Control. Signals Syst..

Hard limit induced oscillations

Heinz Schättler, Vaithianathan Venkatasubramanian, X. Jiang, 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy

Urszula Ledzewicz, Heinz Schättler, Yi Liu, 2009, 2009 American Control Conference.

Feasibilty boundaries for the oscillatory stability between clusters in interconnected power systems

Heinz Schättler, Istemihan Genc, 2003 .

Minimum-Time Frictionless Atom Cooling in Harmonic Traps

Heinz Schättler, Jr-Shin Li, Dionisis Stefanatos, 2010, SIAM J. Control. Optim..

A geometric analysis of bang-bang extremals in optimal control problems for combination cancer chemotherapy

Urszula Ledzewicz, Heinz Schättler, S. Mahmoudian Dehkordi, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

On the structure of optimal controls for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics

Urszula Ledzewicz, Heinz Schättler, Andrew Berman, 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

A computational method for the calculation of the feasibility boundary and clustering in differential-algebraic systems

Heinz Schättler, Alpay Özcan, H. Schättler, 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

Homoclinic orbits and the persistence of the saddle connection bifurcation in the large power system

Heinz Schättler, Vaithianathan Venkatasubramanian, John Zaborszky, 1993, 1993 IEEE International Symposium on Circuits and Systems.

Mathematical Biosciences and Engineering. From the guest editors.

Urszula Ledzewicz, Heinz Schättler, Nir Sochen, 2011, Mathematical biosciences and engineering : MBE.

On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies

Urszula Ledzewicz, Heinz Schättler, 2020, J. Optim. Theory Appl..

Multi-input Optimal Control Problems for Combined Tumor Anti-angiogenic and Radiotherapy Treatments

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2012, J. Optim. Theory Appl..

Optimal Control for Mathematical Models of Tumor Immune System Interactions

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2015 .

A geometric approach to optimal control

Heinz Schättler, H. Schättler, 1996 .

Time-stamped model predictive control: an algorithm for control of processes with random delays

Heinz Schättler, Deepak Srinivasagupta, Babu Joseph, 2004, Comput. Chem. Eng..

Optimal Control for a Mathematical Model of Glioma Treatment with Oncolytic Therapy and TNF-$$\alpha $$α Inhibitors

Urszula Ledzewicz, Heinz Schättler, Elzbieta Ratajczyk, 2018, J. Optim. Theory Appl..

Optimal Combined Radio- and Anti-Angiogenic Cancer Therapy

Urszula Ledzewicz, Heinz Schättler, Helmut Maurer, 2018, J. Optim. Theory Appl..

Optimal Control with State Space Constraints

Heinz Schättler, H. Schättler, 2015, Encyclopedia of Systems and Control.

Optimal Control for Fast, Accurate Threshold-Hitting

Heinz Schättler, Anirban Nandi, ShiNung Ching, 2019, SIAM J. Control. Optim..

Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments

Urszula Ledzewicz, Heinz Schättler, Helmut Maurer, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

On optimal protocols for combinations of chemo- and immunotherapy

Urszula Ledzewicz, Heinz Schättler, Mohammad Javad Faraji, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy.

Urszula Ledzewicz, Heinz Schättler, Helmut Maurer, 2011, Mathematical biosciences and engineering : MBE.

Optimal Control for Mathematical Models of Cancer Therapies: An Application of Geometric Methods

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2015 .

On classical envelopes in optimal control theory

Heinz Schättler, H. Schättler, 2010, 49th IEEE Conference on Decision and Control (CDC).

Comparison of optimal controls for a model in cancer chemotherapy with L 1- and L 2-type objectives

Urszula Ledzewicz, Heinz Schättler, Tim Brown, 2004, Optim. Methods Softw..

Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models

Urszula Ledzewicz, Heinz Schättler, James Munden, 2009 .

An Optimal Control Approach to Cancer Chemotherapy with Tumor–Immune System Interactions

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2014 .

High-order Maximum Principle for Abnormal Extremals

Urszula Ledzewicz, Heinz Schättler, 2009, Encyclopedia of Optimization.

Optimal control for a SIR epidemiological model with time-varying populations

Urszula Ledzewicz, Heinz Schättler, Mahya Aghaee, 2016, 2016 IEEE Conference on Control Applications (CCA).

Time-optimal frictionless atom cooling in harmonic traps

Heinz Schättler, Jr-Shin Li, Dionisis Stefanatos, 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

Cancer and Tumor Development: Biomedical Background

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2015 .

Analysis of a Mathematical Model for Tumor Anti-Angiogenesis

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2006 .

High-order Necessary Conditions for Optimality for Abnormal Points

Urszula Ledzewicz, Heinz Schättler, 2009, Encyclopedia of Optimization.

Small-Time Reachable Sets and Time-Optimal Feedback Control

Heinz Schättler, H. Schättler, 1996 .

Bifurcation of singular arcs in an optimal control problem for cancer immune system interactions under treatment

Urszula Ledzewicz, Heinz Schättler, Mohammad Naghnaeian, 2010, 49th IEEE Conference on Decision and Control (CDC).

The Varied Origins of Voltage Collapse in the Large Power Systems

Heinz Schättler, J. Zaborszky, Vaithianathan Venkatasubramanian, 1993 .

Piecewise constant suboptimal controls for a system describing tumor growth under angiogenic treatment

Urszula Ledzewicz, Heinz Schättler, John Marriott, 2009, 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC).

Methods for calculating oscillations in large power systems

Heinz Schättler, J. Zaborszky, Vaithianathan Venkatasubramanian, 1997 .

Optimal controlled trajectories for a mathematical model of anti-angiogenic therapy in cancer

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

Fundamental Limits of Forced Asynchronous Spiking with Integrate and Fire Dynamics

Heinz Schättler, ShiNung Ching, Anirban Nandi, 2017, The Journal of Mathematical Neuroscience.

A High-Order Generalized Local Maximum Principle

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2000, SIAM J. Control. Optim..

Sequential Linear Quadratic Method for Differential Games

Heinz Schättler, I. Tunay, A. Tanikawa, 2000 .

A time-delay differential-algebraic phasor formulation of the large power system dynamics

Heinz Schättler, Vaithianathan Venkatasubramanian, John Zaborszky, 1994, Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94.

Optimal control for combination therapy in cancer

Urszula Ledzewicz, Heinz Schättler, Alberto d'Onofrio, 2008, 2008 47th IEEE Conference on Decision and Control.

On the control of cell migration and proliferation in glioblastoma

Urszula Ledzewicz, Heinz Schättler, Eunok Jung, 2013, 52nd IEEE Conference on Decision and Control.

On the role of pharmacometrics in mathematical models for cancer treatments

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2021, Discrete & Continuous Dynamical Systems - B.

On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth.

Urszula Ledzewicz, Heinz Schättler, Omeiza Olumoye, 2013, Mathematical biosciences and engineering : MBE.

The First-Order Approach to the Continuous-Time Principal-Agent Problem with Exponential Utility

Heinz Schättler, H. Schättler, J. Sung, 1993 .

Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemotherapy.

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2007, Mathematical biosciences.

Analysis of optimal controls for a mathematical model of tumour anti-angiogenesis

Urszula Ledzewicz, Heinz Schättler, 2008 .

Drug resistance in cancer chemotherapy as an optimal control problem

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2005 .

ON OPTIMAL CHEMOTHERAPY FOR HETEROGENEOUS TUMORS

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2014 .

Parametrized Families of Extremals and Singularities in Solutions to the Hamilton--Jacobi--Bellman Equation

Heinz Schättler, H. Schättler, Matthew Kiefer, 1999 .

On the Optimality of Singular Controls for a Class of Mathematical Models for Tumor Anti-Angiogenesis

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2009 .

Mathematical methods and models in biomedicine

Urszula Ledzewicz, Heinz Schättler, Avner Friedman, 2013 .

On optimal sharing rules in discrete-and continuous-time principal-agent problems with exponential utility

Heinz Schättler, H. Schättler, J. Sung, 1997 .

Dynamics of tumor-immune interaction under treatment as an optimal control problem

Urszula Ledzewicz, Heinz Schättler, Mohammad Naghnaeian, 2011 .

SYNTHESIS OF OPTIMAL CONTROLLED TRAJECTORIES WITH CHATTERING ARCS

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2012 .

Extremal Trajectories, Small-time Reachable Sets and Local Feedback Synthesis: a Synopsis of the Three-dimensional Case

Heinz Schättler, H. Schättler, 1991 .

No . 4 B Singular controls and chattering arcs in optimal control problems arising in biomedicine

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2010 .

High-Order Approximations and Generalized Necessary Conditions for Optimality

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 1999 .

Stratifiable Families of Extremals and Sufficient Conditions for Optimality in Optimal Control Problems

Urszula Ledzewicz, Heinz Schättler, Andrzej Nowakowski, 2004 .

A 3-Compartment Model for Chemotherapy of Heterogeneous Tumor Populations

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2015 .

OPTIMAL CONTROLS FOR A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTIONS UNDER TARGETED CHEMOTHERAPY WITH IMMUNE BOOST

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2013 .

Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics

Urszula Ledzewicz, Heinz Schättler, Helmut Maurer, 2010 .

The structure of small-time reachable sets in low dimensions

Heinz Schättler, Arthur J. Krener, A. Krener, 1989 .

The local structure of time-optimal trajectories in dimension three under generic conditions

Heinz Schättler, H. Schättler, 1988 .

A synthesis of time-optimal controls in the presence of saturated singular arcs

Heinz Schättler, Miroslava Jankovic, H. Schättler, 1993 .

Optimal Protocols for a Mathematical Model of Tumor-Immune Interactions under Chemotherapy with Immune Boost

Heinz Schättler, H. Schättler, 2012 .

On the regularity of optimal controls

Heinz Schättler, Héctor J. Sussmann, H. Sussmann, 1987 .

Optimal Bang-Bang Controls for a Two-Compartment Model in Cancer Chemotherapy

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2002 .

Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment.

Urszula Ledzewicz, Heinz Schättler, John Marriott, 2010, Mathematical medicine and biology : a journal of the IMA.

Optimal response to chemotherapy for a mathematical model of tumor–immune dynamics

Urszula Ledzewicz, Heinz Schättler, Mohammad Naghnaeian, 2012, Journal of mathematical biology.

Stability Regions for Differential-Algebraic Systems

Heinz Schättler, Vaithianathan Venkatasubramanian, John Zaborszky, 1992 .

Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis.

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2008, Journal of theoretical biology.

On the MTD paradigm and optimal control for multi-drug cancer chemotherapy.

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2013, Mathematical biosciences and engineering : MBE.

Conjugate points and intersections of bang-bang trajectories

Heinz Schättler, H. Schättler, 1989 .

OPTIMAL CONTROL FOR A CLASS OF COMPARTMENTAL MODELS IN CANCER CHEMOTHERAPY

Urszula Ledzewicz, Heinz Schättler, Andrzej Świerniak, 2003 .

ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY

Urszula Ledzewicz, Heinz Schättler, H. Schättler, 2002 .