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This paper deals with a suboptimal state feedback anisotropy-based control problem for linear time-invariant discrete-time descriptor systems. The goal is to design a state feedback for the system such that the closed-loop system is admissible, and its anisotropic norm (mean anisotropy level is set) is bounded by a given positive real value.
In the created in the 90th the anisotropy-based control theory, the sequence of the Gaussian random vectors with zero mean and certain mean anisotropy level was accepted as input perturbations acting on a linear system. In this paper, the author considers the concept of mean anisotropy of the sequence with nonzero mean and anisotropic norm of the system with given input. The problems of anisotropy-based...
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