**:** . .,

. .
**:**
**:**
**:**
**:** 2011
**:** ..

** :**
**:** 33
**:** . ., . . / . 33. .: , 2011. .113-126.

**. :** 0421100023\0018

**:**
** :** , , , ,

** (.):** linear discrete systems, networked stabilizing control, packet dropouts, Markovian model, linear matrix inequalities

**:** , . , . . .

** (.):** For a linear system where a plant and a regulator communicate over a network a stabilization problem is solved in the presence of possible packet dropouts. Dropouts are modeled with a Markovian chain. Cases of state-based and output-based feedback are studied. In both cases LMI technique proved to be efficient.

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