ABSTRACT

Models of linear 2-D systems with deviating arguments are defined and some relationships between them are given. The general response formula for general model of 2-D linear systems with deviating arguments is derived. The Cayley-Hamilton theorem is extended for the general model. The concepts of local reachability and local controllability are also extended for the systems with deviating arguments. Necessary and sufficient conditions for local reachability and local controllability are established. The minimum energy control problem for the general model of 2-D linea systems with deviating arguments is fomulated and solved.