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Regular version of the site

Book chapter

Non-iterative Solution to Robust Anisotropy-based Analysis and Control Problems for Uncertain Descriptor Systems

P. 455-460.
Andrianova O., Белов А. А.

The problem of robust admissibilization with guar-
anteed random disturbance attenuation level for discrete-time
time-invariant (LDTI) descriptor systems with norm-bounded
uncertainties is considered. The input disturbance is supposed
to be a stationary Gaussian sequence with bounded mean
anisotropy level. The solutions to analysis and robust state-
feedback control problems are formulated in terms of matrix
inequalities. The obtained conditions are convex over all decision
variables and do not require inverse matrix searching. Compar-
ison between iterative [1], [2] and non-iterative methods is given.