Complementarity methods in the analysis of piecewise linear dynamical systems

M.K. Camlibel

Research output: ThesisDoctoral Thesis

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Abstract

The main object of this thesis is a class of piecewise linear dynamical systems that are related both to system theory and to mathematical programming. The dynamical systems in this class are known as complementarity systems. With regard to these nonlinear and nonsmooth dynamical systems, the research in the thesis concentrates on two themes: well-posedness and approximations. The well-posedness issue, in the sense of existence and uniqueness of solutions, is of considerable importance from a model validation point of view. In the thesis, sufficient conditions are established for the well-posedness of complementarity systems. Furthermore, an investigation is made of the convergence of approximations of these systems with an eye towards simulation.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • Tilburg University
Supervisors/Advisors
  • Schumacher, Hans, Promotor
Award date28 May 2001
Place of PublicationTilburg
Publisher
Print ISBNs905668079X
Publication statusPublished - 2001

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Linear Dynamical Systems
Complementarity
Piecewise Linear
Well-posedness
Dynamical system
Model Validation
Approximation
Existence and Uniqueness of Solutions
Systems Theory
Mathematical Programming
Sufficient Conditions
Simulation
Class

Cite this

Camlibel, M. K. (2001). Complementarity methods in the analysis of piecewise linear dynamical systems. Tilburg: CentER, Center for Economic Research.
Camlibel, M.K.. / Complementarity methods in the analysis of piecewise linear dynamical systems. Tilburg : CentER, Center for Economic Research, 2001. 198 p.
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Camlibel, MK 2001, 'Complementarity methods in the analysis of piecewise linear dynamical systems', Doctor of Philosophy, Tilburg University, Tilburg.

Complementarity methods in the analysis of piecewise linear dynamical systems. / Camlibel, M.K.

Tilburg : CentER, Center for Economic Research, 2001. 198 p.

Research output: ThesisDoctoral Thesis

TY - THES

T1 - Complementarity methods in the analysis of piecewise linear dynamical systems

AU - Camlibel, M.K.

PY - 2001

Y1 - 2001

N2 - The main object of this thesis is a class of piecewise linear dynamical systems that are related both to system theory and to mathematical programming. The dynamical systems in this class are known as complementarity systems. With regard to these nonlinear and nonsmooth dynamical systems, the research in the thesis concentrates on two themes: well-posedness and approximations. The well-posedness issue, in the sense of existence and uniqueness of solutions, is of considerable importance from a model validation point of view. In the thesis, sufficient conditions are established for the well-posedness of complementarity systems. Furthermore, an investigation is made of the convergence of approximations of these systems with an eye towards simulation.

AB - The main object of this thesis is a class of piecewise linear dynamical systems that are related both to system theory and to mathematical programming. The dynamical systems in this class are known as complementarity systems. With regard to these nonlinear and nonsmooth dynamical systems, the research in the thesis concentrates on two themes: well-posedness and approximations. The well-posedness issue, in the sense of existence and uniqueness of solutions, is of considerable importance from a model validation point of view. In the thesis, sufficient conditions are established for the well-posedness of complementarity systems. Furthermore, an investigation is made of the convergence of approximations of these systems with an eye towards simulation.

M3 - Doctoral Thesis

SN - 905668079X

T3 - CentER Dissertation Series

PB - CentER, Center for Economic Research

CY - Tilburg

ER -

Camlibel MK. Complementarity methods in the analysis of piecewise linear dynamical systems. Tilburg: CentER, Center for Economic Research, 2001. 198 p. (CentER Dissertation Series).