TY - GEN
T1 - Positive controllability of positive dynamical systems
AU - Klamka, Jerzy
PY - 2002
Y1 - 2002
N2 - The present paper is devoted to a study of constrained controllability and controllability for linear dynamical systems if the controls are taken to be nonnegative. In analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. We shall concentrate on approximate positive controllability for linear infinite-dimensional dynamical systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. The special attention is paid for positive infinite-dimensional linear dynamical systems. General approximate constrained controllability results are then applied for distributed parameter dynamical systems described by linear partial differential equations of parabolic type with different kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, simple numerical illustrative example is also presented.
AB - The present paper is devoted to a study of constrained controllability and controllability for linear dynamical systems if the controls are taken to be nonnegative. In analogy to the usual definition of controllability it is possible to introduce the concept of positive controllability. We shall concentrate on approximate positive controllability for linear infinite-dimensional dynamical systems when the values of controls are taken from a positive closed convex cone and the operator of the system is normal and has pure discrete point spectrum. The special attention is paid for positive infinite-dimensional linear dynamical systems. General approximate constrained controllability results are then applied for distributed parameter dynamical systems described by linear partial differential equations of parabolic type with different kinds of boundary conditions. Several remarks and comments on the relationships between different concepts of controllability are given. Finally, simple numerical illustrative example is also presented.
KW - Constrained controllability
KW - Distributed parameter systems
KW - Infinite-dimensional systems
KW - Positive dynamical systems
UR - https://www.scopus.com/pages/publications/0036056422
U2 - 10.1109/acc.2002.1025385
DO - 10.1109/acc.2002.1025385
M3 - Conference contribution
AN - SCOPUS:0036056422
SN - 0780372980
T3 - Proceedings of the American Control Conference
SP - 4632
EP - 4637
BT - Proceedings of the 2002 American Control Conference, ACC 2002
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2002 American Control Conference, ACC 2002
Y2 - 8 May 2002 through 10 May 2002
ER -