Reference : Global asymptotic stability of the limit cycle in piecewise linear versions of the Go...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/20418
Global asymptotic stability of the limit cycle in piecewise linear versions of the Goodwin oscillator
English
Salinas Varela, A. A. [> >]
Stan, G. B. V. [> >]
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
2008
1
Proceedings of the 17th IFAC World Congress
IFAC
3659-3664
Yes
9783902661005
17th IFAC World Congress
July 6 - 11, 2008
Seoul
Korea
[en] Conditions in the form of linear matrix inequalities (LMIs) are used in this paper to guarantee the global asymptotic stability of a limit cycle oscillation for a class of piecewise linear (PWL) systems defined as the feedback interconnection of a saturation controller with a single input, single output (SISO) linear time-invariant (LTI) system. The proposed methodology extends previous results on impact maps and surface Lyapunov functions to the case when the sets of expected switching times are arbitrarily large. The results are illustrated on a PWL version of the Goodwin oscillator.
http://hdl.handle.net/10993/20418
10.3182/20080706-5-KR-1001.00618
http://www.ifac2008.org/

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