Abstract:
The problem of eigenvalue spectrum assignment is considered in a generalized formulation. The system coefficients are block matrices. For block matrix bilinear control systems, we obtain sufficient conditions for resolving the problem of arbitrary matrix coefficient assignment for the characteristic matrix polynomial when the coefficients of the system have a special form, namely, the state matrix is a lower block Hessenberg matrix, and the matrix coefficients at the controller contain some zero blocks. The main result generalizes the corresponding theorem for block matrix bilinear control systems with a lower block Frobenius matrix and for block matrix linear control system closed-loop by linear static output feedback. An example is presented to illustrate the result.
Keywords:linear autonomous system, eigenvalue spectrum assignment, bilinear control system, block matrix system
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