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1

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

2

[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

3

[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

4

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

5

[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

6

[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

7

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

8

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

9

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

10

[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

11

[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

12

[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

13

[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

14

[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

15

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

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

16

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

17

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

18

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

19

[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

20

[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

21

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

Schättler, Heinz, Ledzewicz, Urszula

Year:

2012

Language:

english

File:

PDF, 846 KB

english, 2012

22

[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

23

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

24

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

25

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

26

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

27

[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

28

[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

29

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

30

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

31

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

32

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

33

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

34

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

35

On optimal delivery of combination therapy for tumors

Alberto d’Onofrio, Urszula Ledzewicz, Helmut Maurer, Heinz Schättler

Journal:

Mathematical Biosciences

Year:

2009

Language:

english

File:

PDF, 564 KB

english, 2009

36

AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

2007

Language:

english

File:

PDF, 534 KB

english, 2007

37

High-Order Approximations and Generalized Necessary Conditions for Optimality

Ledzewicz, Urszula, Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

1998

Language:

english

File:

PDF, 449 KB

english, 1998

38

On the Local Structure of Time-Optimal Bang-Bang Trajectories in $\mathbb{R}^3$

Schättler, Heinz

Journal:

SIAM Journal on Control and Optimization

Year:

1988

Language:

english

File:

PDF, 2.02 MB

english, 1988

39

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

Urszula Ledzewicz, Mohammad Naghnaeian, Heinz Schättler

Journal:

Journal of Mathematical Biology

Year:

2012

Language:

english

File:

PDF, 1.15 MB

english, 2012

40

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Epidemiological Models with Seasonality

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

Year:

2013

Language:

english

File:

PDF, 311 KB

english, 2013

41

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine || Spatial Aspects of HIV Infection

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

Year:

2013

Language:

english

File:

PDF, 580 KB

english, 2013

42

[Lecture Notes on Mathematical Modelling in the Life Sciences] Mathematical Methods and Models in Biomedicine ||

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

Year:

2013

Language:

english

File:

PDF, 8.62 MB

english, 2013

43

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

Ledzewicz, Urszula, Schattler, Heinz, Marriott, John

Year:

2009

Language:

english

File:

PDF, 1.21 MB

english, 2009

44

A 3-Compartment Model for Chemotherapy of Heterogeneous Tumor Populations

Ledzewicz, Urszula, Bratton, Kenneth, Schättler, Heinz

Journal:

Acta Applicandae Mathematicae

Year:

2015

Language:

english

File:

PDF, 646 KB

english, 2015

45

Optimal controls for a mathematical model of tumor-immune interactions under targeted chemotherapy with immune boost

Ledzewicz, Urszula, Mosalman, Mozhdeh Sadat Faraji, Schättler, Heinz

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2013

Language:

english

File:

PDF, 1.12 MB

english, 2013

46

[IEEE 2009 American Control Conference - St. Louis, MO, USA (2009.06.10-2009.06.12)] 2009 American Control Conference - The effect of pharmacokinetics on optimal protocols for a mathematical model of tumor anti-angiogenic therapy

Ledzewicz, Urszula, Liu, Yi, Schattler, Heinz

Year:

2009

Language:

english

File:

PDF, 1.14 MB

english, 2009

47

[IEEE 2012 IEEE 51st Annual Conference on Decision and Control (CDC) - Maui, HI, USA (2012.12.10-2012.12.13)] 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - A geometric analysis of bang-bang extremals in optimal control problems for combination cancer chemotherapy

Schattler, Heinz, Ledzewicz, Urszula, Dehkordi, S. Mahmoudian, Reisi, M.

Year:

2012

Language:

english

File:

PDF, 260 KB

english, 2012

48

[IEEE 2012 IEEE 51st Annual Conference on Decision and Control (CDC) - Maui, HI, USA (2012.12.10-2012.12.13)] 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) - On optimal protocols for combinations of chemo- and immunotherapy

Ledzewicz, Urszula, Faraji, Mozhdeh, Schattler, Heinz

Year:

2012

Language:

english

File:

PDF, 929 KB

english, 2012

49

[IEEE 2010 49th IEEE Conference on Decision and Control (CDC) - Atlanta, GA, USA (2010.12.15-2010.12.17)] 49th IEEE Conference on Decision and Control (CDC) - On classical envelopes in optimal control theory

Schattler, Heinz

Year:

2010

Language:

english

File:

PDF, 189 KB

english, 2010

50

[IEEE 2010 49th IEEE Conference on Decision and Control (CDC) - Atlanta, GA, USA (2010.12.15-2010.12.17)] 49th IEEE Conference on Decision and Control (CDC) - Bifurcation of singular arcs in an optimal control problem for cancer immune system interactions under treatment

Ledzewicz, Urszula, Naghnaeian, Mohammad, Schattler, Heinz

Year:

2010

Language:

english

File:

PDF, 1.00 MB

english, 2010

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