TY - GEN
T1 - Stability of infinite-dimensional linear inclusions
AU - Czornik, Adam
AU - Niezabitowski, Michal
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/9/29
Y1 - 2015/9/29
N2 - In this paper we present three concepts of stability for discrete linear inclusions, i.e. uniform power equistability, power equistability and selectable stability. The main result states that first two concepts are equivalent. Moreover they are equivalent to the fact that a numerical quantity called generalized spectral radius is less than one. Finally, we show the relation between the joint spectral subradius and selectable stability.
AB - In this paper we present three concepts of stability for discrete linear inclusions, i.e. uniform power equistability, power equistability and selectable stability. The main result states that first two concepts are equivalent. Moreover they are equivalent to the fact that a numerical quantity called generalized spectral radius is less than one. Finally, we show the relation between the joint spectral subradius and selectable stability.
KW - joint spectral radius
KW - joint spectral subradius
KW - power equistability
KW - selectable stability
KW - uniform power equistability
UR - https://www.scopus.com/pages/publications/84964466656
U2 - 10.1109/MMAR.2015.7283873
DO - 10.1109/MMAR.2015.7283873
M3 - Conference contribution
AN - SCOPUS:84964466656
T3 - 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015
SP - 204
EP - 207
BT - 2015 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 20th International Conference on Methods and Models in Automation and Robotics, MMAR 2015
Y2 - 24 August 2015 through 27 August 2015
ER -