On exact controllability of neutral type time-delay systems

2015/11/11 by R. Rabah, Rabah, R., G. M. Sklyar +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC

paper · pdf · doi:10.48550/arxiv.1511.03708

arxiv created 2015/11/11 · arxiv updated 2015/11/13

Abstract

The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert space and formulate steering conditions of controllable states as a vector moment problem. The existence of a basis of eigenvectors of system operator allows to simplify substantially the form of the moment problem. A change of control by a feedback law allows to modify the system structure to guarantee the existence of a basis of eigenvectors of the corresponding operator. We prove a criterion of exact controllability and ascertain the precise critical time of controllability.

Related

• Conditions of exact null controllability and the problem of complete stabilizability for time-delay systems
• Well-posedness and approximate controllability of neutral network systems
• Hautus--Yamamoto criteria for approximate and exact controllability of linear difference delay equations
• Minimum energy exact null-controllability problem for linear time-delay equations
• Necessary and sufficient condition for neutral-type delay systems: Polynomial approximations