The invariant polynomial assignment problem for linear periodic discrete-time systems
The order reduction and robust D-stability analysis of discrete uncertain time-delay systems by time-scale separation
The pole placement equation. A survey
The special Schubert calculus is real.
The technique of splitting operators in perturbation control theory
The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the pole assignment...