Controllability linear systems with many delays in control by the differential regulators

Abstract

In the theory of controllability dynamical systems in most cases the control is selected from the class of piecewise continuous functions. But the choise of the control from other classes is interested. In the article we consider the problem of relative controllability of linear systems with many delays in control by the help of differential (dynamical) regulator. The criterions of controllability in terms of parameters initial system and dynamical regulator are obtained.

Keywords

• controllability
• observability
• linear systems
• systems with delay in control
• dynamical regulator