The problem of synthesizing a regulator which provides stability to a closed linear system under the condition that the operator of the object has a fractional representation is examined in its algebraic posing. Conditions for solvability are obtained in the form of conditions under which the operators which factor the operator of the object are members in the maximal left ideals of the operators ring. Sets of left ideals of some rings of operators, sufficient for testing the solvability conditions, are studied.
|Original language||English (US)|
|Number of pages||5|
|Journal||Soviet journal of automation and information sciences|
|State||Published - Nov 1 1990|
All Science Journal Classification (ASJC) codes