Stabilization of Time-Delay Systems Using Finite-Dimensional Compensators
Kamen, Edward W.
Khargonekar, Pramod P.
Tannenbaum, Allen R.
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For linear time-invariant systems with one or more noncommensurate time delays, necessary and sufficient conditions are given for the existence of a finite-dimensional stabilizing feedback compensator. In particular, it is shown that a stabilizable time-delay system can always be stabilized using a finite-dimensional compensator. The problem of explicitly constructing finite-dimensional stabilizing compensators is also considered.