V.Y. Glizer (Israel)
Time delay system, singular perturbation, stabilizability.
A singularly perturbed linear time-invariant controlled sys tem with point-wise and distributed delays in the state vari ables is considered. The delays are of two kinds: nonsmall in the slow and small in the fast state variables. Two much simpler parameter-free subsystems (the slow and fast ones) are associated with this system. It is established in the pa per that L2 -stabilizability of the slow and fast subsystems yields L2 -stabilizability of the original system for all suffi ciently small values of the parameter of singular perturba tion. Illustrative examples are presented.
Important Links:
Go Back
