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Derivation of a Controllability Criteria for a Linear Singularly Perturbed Discrete System with Small Step

B.Y. AshirbaevKyrgyz–Russian Slavic University, Department of Applied Mathematics, 720022, Bishkek, KyrgyzstanT. K. YuldashevTashkent State University of Economics, Department of Applied Mathematics, 100066, Tashkent, Uzbekistan
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Аннотация

The article is devoted to study of controllability properties of a linear singularly perturbed discrete system with a small step. It is used the Gram operator, which transforms an infinite-dimensional space into a finite-dimensional one, and based on the separation of state variables of a linear discrete singularly perturbed system with a small step. The controllability criteria for this discrete system is derived.

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