TY - GEN
T1 - Controllability of higher-order linear systems with multiple delays in control
AU - Klamka, Jerzy
PY - 2009
Y1 - 2009
N2 - In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.
AB - In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.
UR - https://www.scopus.com/pages/publications/77950394316
U2 - 10.1109/ICCA.2009.5410196
DO - 10.1109/ICCA.2009.5410196
M3 - Conference contribution
AN - SCOPUS:77950394316
SN - 9781424447060
T3 - 2009 IEEE International Conference on Control and Automation, ICCA 2009
SP - 1158
EP - 1162
BT - 2009 IEEE International Conference on Control and Automation, ICCA 2009
T2 - 2009 IEEE International Conference on Control and Automation, ICCA 2009
Y2 - 9 December 2009 through 11 December 2009
ER -