| Summary: | ABSTRACT
In this paper a block-input, block-output state model which was developed for the study of linear time-invariant discrete-time systems whose coefficients belong to an arbitrary commutative ring R with multiplicative identity 1 was discussed. This framework arose in the study of integer systems, whose coefficients depend on parameters and multi-dimensional systems. Based on the block-input form of linear systems, the problem of stabilization for linear systems whose coefficients belong to a commutative normed algebra was studied.
Key words : Systems over rings, reachability, Strong observability, feedback control, stabilization asymtotic.
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