Szukana fraza: [Abstract = "The inverse optimal control problem, i.e. the problem of the optimal eigenvalue assignment for multi\-input linear discrete\-time systems, is considered. New necessary and sufficient conditions are proposed which lead to new simple optimal design methods. In particular, for an n\-th order system with m inputs the proposed method assigns n \? m dominant eigenvalues to any preselected positions while the remaining m eigenvalues are accommodated to ensure stability and to satisfy optimal criteria."]