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1

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

U. Ledzewicz, H. Schättler

Journal:

Optimal Control Applications and Methods

Year:

2008

Language:

english

File:

PDF, 241 KB

english, 2008

2

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

Deepak Srinivasagupta, Heinz Schättler, Babu Joseph

Journal:

Computers & Chemical Engineering

Year:

2004

Language:

english

File:

PDF, 625 KB

english, 2004

3

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Calculus of Variations: A Historical Perspective

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.31 MB

english, 2012

4

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.57 MB

english, 2012

5

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

Heinz Schättler, Jaeyoung Sung

Journal:

Journal of Economic Theory

Year:

1993

File:

PDF, 1.44 MB

1993

6

Methods for calculating oscillations in large power systems

Kim, K., Schattler, H., Venkatasubramanian, V., Zaborszky, J., Hirsch, P.

Journal:

IEEE Transactions on Power Systems

Year:

1997

Language:

english

File:

PDF, 1.04 MB

english, 1997

7

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 ||

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 14.07 MB

english, 2015

8

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Cancer and Tumor Development: Biomedical Background

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 655 KB

english, 2015

9

Sufficient conditions for relative minima of broken extremals in optimal control theory

John Noble, Heinz Schättler

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 236 KB

english, 2002

10

The parallel ‘Deutschland-Modell’ — A message-passing version for distributed memory computers

Ulrich Schättler, Elisabeth Krenzien

Journal:

Parallel Computing

Year:

1997

Language:

english

File:

PDF, 781 KB

english, 1997

11

On the regularity of optimal controls

Heinz M. Schättler, Héctor J. Sussmann

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1987

Language:

english

File:

PDF, 592 KB

english, 1987

12

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

Heinz Schättler

Journal:

Mathematics of Control, Signals, and Systems (MCSS)

Year:

1991

Language:

english

File:

PDF, 1.03 MB

english, 1991

13

Review of numerical methods for nonhydrostatic weather prediction models

J. Steppeler, R. Hess, U. Schättler, L. Bonaventura

Journal:

Meteorology and Atmospheric Physics

Year:

2003

Language:

english

File:

PDF, 138 KB

english, 2003

14

Solution of a Differential Game Formulation of Military Air Operations by the Method of Characteristics

I. N. Katz, H. Mukai, H. Schättler, M. Zhang, M. Xu

Journal:

Journal of Optimization Theory and Applications

Year:

2005

Language:

english

File:

PDF, 219 KB

english, 2005

15

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

16

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012

17

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 1.06 MB

english, 2012

18

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 437 KB

english, 2012

19

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 723 KB

english, 2012

20

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 || || Front_matter

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

21

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

Urszula Ledzewicz, Heinz Schättler

Journal:

Mathematical Biosciences

Year:

2007

Language:

english

File:

PDF, 359 KB

english, 2007

22

The Structure of Small-Time Reachable Sets in Low Dimensions

Krener, Arthur J., Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

1989

Language:

english

File:

PDF, 3.05 MB

english, 1989

23

The Local Structure of Time-Optimal Trajectories in Dimension Three under Generic Conditions

Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

1988

Language:

english

File:

PDF, 2.54 MB

english, 1988

24

Local bifurcations and feasibility regions in differential-algebraic systems

Venkatasubramanian, V., Schattler, H., Zaborszky, J.

Journal:

IEEE Transactions on Automatic Control

Year:

1995

Language:

english

File:

PDF, 2.62 MB

english, 1995

25

Descent algorithms for optimal periodic output feedback control

Hyslop, G.L., Schattler, H., Tarn, T.-J.

Journal:

IEEE Transactions on Automatic Control

Year:

1992

Language:

english

File:

PDF, 1.13 MB

english, 1992

26

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || A Mathematical Model of Gene Therapy for the Treatment of Cancer

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 575 KB

english, 2013

27

[IEEE 2009 IEEE International Conference on Control Applications (CCA) - St. Petersburg, Russia (2009.07.8-2009.07.10)] 2009 IEEE International Conference on Control Applications - On the structure of optimal controls for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics

Ledzewicz, Urszula, Schattler, Heinz, Berman, Andrew

Year:

2009

Language:

english

File:

PDF, 1.42 MB

english, 2009

28

[Interdisciplinary Applied Mathematics] Geometric Optimal Control Volume 38 ||

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

29

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Optimisation of Cancer Drug Treatments Using Cell Population Dynamics

Ledzewicz, Urszula, Schättler, Heinz, Friedman, Avner, Kashdan, Eugene

Year:

2013

Language:

english

File:

PDF, 793 KB

english, 2013

30

Sufficient conditions for strong local optimality in optimal control problems with $L_{2}$-type objectives and control constraints

Schättler, Heinz, Ledzewicz, Urszula, Maurer, Helmut

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2014

Language:

english

File:

PDF, 651 KB

english, 2014

31

Fast time-varying phasor analysis in the balanced three-phase large electric power system

V. Venkatasubramanian, H. Schattler, J. Zaborszky

Journal:

IEEE Transactions on Automatic Control

Year:

1995

Language:

english

File:

PDF, 813 KB

english, 1995

32

Voltage dynamics: study of a generator with voltage control, transmission, and matched MW load

Venkatasubramanian, V., Schattler, H., Zaborszky, J.

Journal:

IEEE Transactions on Automatic Control

Year:

1992

Language:

english

File:

PDF, 1.73 MB

english, 1992

33

A High-Order Generalized Local Maximum Principle

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

2000

Language:

english

File:

PDF, 314 KB

english, 2000

34

[IEEE 1992 31st IEEE Conference on Decision and Control - Tucson, AZ, USA (16-18 Dec. 1992)] [1992] Proceedings of the 31st IEEE Conference on Decision and Control - Analysis of the tap changer related voltage collapse phenomena for the large electric power system

Venkatasubramanian, V., Schattler, H., Zaborszky, J.

Year:

1992

Language:

english

File:

PDF, 763 KB

english, 1992

35

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

Ledzewicz, Urszula, Brown, Tim, Schättler ‡, Heinz

Journal:

Optimization Methods and Software

Year:

2004

Language:

english

File:

PDF, 301 KB

english, 2004

36

ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY

LEDZEWICZ, URSZULA, SCHÄTTLER, HEINZ

Journal:

Journal of Biological System

Year:

2002

Language:

english

File:

PDF, 375 KB

english, 2002

37

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Optimal Control of Mathematical Models for Antiangiogenic Treatments

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 1.93 MB

english, 2015

38

[Interdisciplinary Applied Mathematics] Optimal Control for Mathematical Models of Cancer Therapies Volume 42 || Optimal Control for Mathematical Models of Tumor Immune System Interactions

Schättler, Heinz, Ledzewicz, Urszula

Year:

2015

Language:

english

File:

PDF, 2.16 MB

english, 2015

39

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

Heinz Schättler, Jaeyoung Sung

Journal:

Journal of Economic Dynamics and Control

Year:

1997

Language:

english

File:

PDF, 1.39 MB

english, 1997

40

AN EXTENDED MAXIMUM PRINCIPLE

URSZULA LEDZEWICZ, HEINZ SCHÄTTLER

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 1.34 MB

english, 1997

41

High-order tangent cones and their application in optimization

Urszula Ledzewicz, Heinz Schättler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 836 KB

english, 1997

42

On singularities in solutions to the Hamilton-Jacobi-Bellman equation

Matthew Kiefer, Heinz Schättler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1997

Language:

english

File:

PDF, 839 KB

english, 1997

43

A high-order generalization of the Lyusternik theorem

Urszula Ledzewicz, Heinz Schättler

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1998

Language:

english

File:

PDF, 162 KB

english, 1998

44

Stability of elliptic optimal control problems

S. Walczak, U. Ledzewicz, H. Schättler

Journal:

Computers & Mathematics with Applications

Year:

2001

Language:

english

File:

PDF, 567 KB

english, 2001

45

Regularity properties of time-optimal trajectories of an analytic single-input control-linear system in dimension three

Journal:

Journal of Optimization Theory and Applications

Year:

1988

Language:

english

File:

PDF, 679 KB

english, 1988

46

Meso-gamma scale forecasts using the nonhydrostatic model LM

J. Steppeler, G. Doms, U. Schättler, H. W. Bitzer, A. Gassmann, U. Damrath, G. Gregoric

Journal:

Meteorology and Atmospheric Physics

Year:

2003

Language:

english

File:

PDF, 1.18 MB

english, 2003

47

Semi-Implicit Scheme for the DWD Lokal-Modell

S. Thomas, C. Girard, G. Doms, U. Schättler

Journal:

Meteorology and Atmospheric Physics

Year:

2000

Language:

english

File:

PDF, 639 KB

english, 2000

48

Local Fields of Extremals for Optimal Control Problems with State Constraints of Relative Degree 1

Journal:

Journal of Dynamical and Control Systems

Year:

2006

Language:

english

File:

PDF, 532 KB

english, 2006

49

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

U. Ledzewicz, H. Schättler

Journal:

Journal of Optimization Theory and Applications

Year:

2012

Language:

english

File:

PDF, 1.30 MB

english, 2012

50

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

Urszula Ledzewicz, Heinz Schättler

Journal:

Journal of Theoretical Biology

Year:

2008

Language:

english

File:

PDF, 844 KB

english, 2008