Set simulations for quadratic systems

In this paper, we study the problem of propagating in time a bounding set for the state of a class of nonlinear quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and qualitative behavior of the possible tim...

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Veröffentlicht in:	IEEE transactions on automatic control 2003-05, Vol.48 (5), p.800-805
1. Verfasser:	Calafiore, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied sciences Automatic control Computer science control theory systems Computer simulation Control theory. Systems Conveying Ellipsoids Exact sciences and technology Filtering Information analysis Linear systems Miscellaneous Nonlinear filters Nonlinear systems Nonlinearity Recursive Stability State-space methods Stochastic resonance Stochastic systems
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Beschreibung
Zusammenfassung:	In this paper, we study the problem of propagating in time a bounding set for the state of a class of nonlinear quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and qualitative behavior of the possible time responses of the system. Numerically, efficient recursive algorithms are presented for the specific cases when the bounding sets are orthotopes or ellipsoids.
ISSN:	0018-9286 1558-2523
DOI:	10.1109/TAC.2003.811257