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conference paper
Analysis of Discrete-Time PWA Systems with Logic States
Ferrari-Trecate, Giancarlo
•
Cuzzola, Francesco A.
•
Morari, Manfred
Greenstreet, M. R.
•
Tomlin, C. J.
2002
Hybrid Systems: Computation and Control. HSCC 2002
In this paper we consider discrete-time piecewise affine hybrid systems with Boolean inputs, outputs and states and we show that they can be represented in a canonical form where the logic variables influence the switching between different submodels but not the continuous-valued dynamics. We exploit this representation for studying Lagrange stability and developing performance analysis procedures based on linear matrix inequalities. Moreover, by using arguments from dissipativity theory for nonlinear systems, we generalize our approach to solve the $H_infty$ analysis problem.
Type
conference paper
Authors
Ferrari-Trecate, Giancarlo
•
Cuzzola, Francesco A.
•
Morari, Manfred
Editors
Greenstreet, M. R.
•
Tomlin, C. J.
Publication date
2002
Publisher
Published in
Hybrid Systems: Computation and Control. HSCC 2002
Series title/Series vol.
Lecture Notes in Computer Science; 2289
Start page
194
End page
208
EPFL units
Event name | Event place | Event date |
Stanford, CA, USA | March 25–27, 2002 | |
Available on Infoscience
January 10, 2017
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