On the higher-order semi-discretizations for periodic delayed systems

On the higher-order semi-discretizations for periodic delayed systems

Semi-discretization techniques of periodic delayed systems are presented using zeroth-, first- and higher-order approximations of the delayed term. It is shown that if the time-periodic coefficients in the equation are approximated by piecewise constant functions, then there is no need to use higher...

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Veröffentlicht in:Journal of sound and vibration 2008-06, Vol.313 (1), p.334-341
Hauptverfasser: Insperger, Tamás, Stépán, Gábor, Turi, János
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Approximation
Computer science
control theory
systems
Construction
Control system analysis
Control theory. Systems
Exact sciences and technology
Mathematical analysis
Sound
Stability
Vibration
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Zusammenfassung:Semi-discretization techniques of periodic delayed systems are presented using zeroth-, first- and higher-order approximations of the delayed term. It is shown that if the time-periodic coefficients in the equation are approximated by piecewise constant functions, then there is no need to use higher than first-order approximations of the delayed term. The results are demonstrated on construction of the stability chart of the delayed Mathieu equation.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2007.11.040