Title :
Controllability and minimum energy control of 2-D linear systems
Author_Institution :
Inst. of Autom., Tech. Univ., Gliwice, Poland
Abstract :
In the paper linear 2-D discrete systems is investigated. This system is transformed into equivalent discrete dynamical system with infinite-dimensional state space. Fundamental definitions of approximate and exact controllability are given. Using methods of functional analysis necessary and sufficient conditions for different types of controllability are formulated. Minimum energy control problem in infinite-dimensional state space is solved
Keywords :
controllability; discrete systems; minimum principle; multidimensional systems; approximate controllability; controllability; equivalent discrete dynamical system; functional analysis; infinite-dimensional state space; linear 2D discrete systems; minimum energy control; necessary and sufficient conditions; Automatic control; Automation; Control systems; Controllability; Functional analysis; Hilbert space; Image processing; Linear systems; Multidimensional systems; State-space methods;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612037
