Refinement of the Compression Ratio for an External Estimation of the Limit 0-Controllable Set of a Linear Discrete-Time System with Bounded Control

The problem of constructing an optimal external estimate of the limit controllable set for a linear discrete-time system with convex control constraints is considered. The estimation is based on the principle of contraction mappings. The optimal estimation parameters are determined based on the analysis of the results of numerical modeling. Examples are given.

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