Synthesis of Stabilizing Control Based on Band Criteria

The problem of matrix spectrum control (or pole placement problem) which is the key in the modern control theory by linear systems is considered. The problem solution of linear system stabilization with Multi Input & Multi Output (MIMO) is obtained. The analogue of Van der Voud Theorem for linear controlled system with one input and many outputs based on the band criteria of controllability and observability, playing a fundamental part in presentation and description of linear dynamic systems properties is given. The problem solving of stabilization at defined characteristic polynomial of a closed system is given. The Van der Voud Theorem generalization for the case of linear controlled MiMO system is obtained. Also the set of vectors of coefficient difference for given and initial characteristic polynomials, which may be implemented using output feedback is described and parameterized. The proofs of the formulated theorems are presented.

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