Abstract
On the quadratic stabilization of uncertain linear time varying systems by means of linear state variable feedback, Wei introduced the concept of antisymmetric stepwise configuration (ASC) and proved that having this configuration is a necessary and sufficient condition for uncertain linear systems to be quadratically stabilizable by means of a linear state variable feedback. However, because his condition is constructed on the basis of quadratic lyapunov functions, his method is not applicable if the state variables contains delays. In this report the conditions for the delay independent stabilization so far obtained on the basis of delay differential inequalities is further developed and it is proved that generally to have ASC is also a sufficient condition for the delay independent stabilizability of linear uncertain delayed systems by means of linear state variable feedback.
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