Journal of Control Engineering and Applied Informatics
Invariant Sets with Arbitrary Time-Dependence in the Dynamics of Linear Systems with Interval-Type Uncertainties
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.
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.