The Complementarity Class of Hybrid Dynamical Systems

This paper gives an introduction to the field of dynamical complementarity systems. A summary of their main applications and properties together with connections to other hybrid model classes is provided. Moreover, the main mathematical tools which allow one to study complementarity systems are pres...

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Bibliographic Details
Published inEuropean journal of control Vol. 9; no. 2-3; pp. 322 - 360
Main Authors Heemels, W.P.M.H., Brogliato, B.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Cachan Elsevier Ltd 2003
Lavoisier
Subjects
Applied sciences
Complementarity
Computer science; control theory; systems
Constrained mechanics
Control theory. Systems
Controllability
Convex analysis
Dynamics and inequalities
Exact sciences and technology
Hybrid systems
Miscellaneous
Piece-wise linear systems
Stability
Switched circuits
Well-posedness
Piece-wise linear systems
Constrained mechanics
Complementarity
Stability
Dynamics and inequalities
Switched circuits
Hybrid systems
Controllability
Convex analysis
Well-posedness
Switched capacity
Stabilization
Well posed problem
Complementarity problem
Discrete system
Dynamical system
Modeling
Hybrid system
Hybrid model
Observability
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Summary:This paper gives an introduction to the field of dynamical complementarity systems. A summary of their main applications and properties together with connections to other hybrid model classes is provided. Moreover, the main mathematical tools which allow one to study complementarity systems are presented briefly. Many examples illustrate the developments. The available results on modeling, simulation, controllability, observability and stabilization are presented and further suggestions for reading can be found in this overview.
ISSN:0947-3580
1435-5671
DOI:10.3166/ejc.9.322-360