Invariant Sets with Arbitrary Time-Dependence in the Dynamics of Linear Systems with Interval-Type Uncertainties
- Authors
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M.H. Matcovschi
Department of Automatic Control and Applied Informatics, Technical University "Gh. Asachi" of Iasi
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O. Pastravanu
Department of Automatic Control and Applied Informatics, Technical University "Gh. Asachi" of Iasi
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M. Voicu
Department of Automatic Control and Applied Informatics, Technical University "Gh. Asachi" of Iasi
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- Abstract
- The paper develops an extensive analysis of the time-dependent sets that are positively invariant with respect to the dynamics of interval matrix systems. The interval matrix systems may be described by discrete- or continuous-time equations. For the invariant sets, the time dependence is considered arbitrary, and the shape is defined in terms of Holder vector p-norms, 1<=p<=infinite. The key instrument in this study is a matrix test function (appropriately defined for discrete- and continuous-time dynamics) which is applied to a matrix majorizing the interval matrix.
- References
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- Published
- 2007-12-31
- Issue
- Vol. 9 No. 3,4 (2007)
- Section
- Articles