DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click HERE
to register or log in.
Pointwise Stability and Feedback Control of Linear Systems with Noncommensurate Time Delays.
FLORIDA UNIV GAINESVILLE
Pagination or Media Count:
Feedback control of linear neutral and retarded time-delay systems with one or more noncommensurate time delays is studied. A new algebraic notion of stability, called pointwise stability, is defined and is shown to be generically equivalent to uniform asymptotic stability independent of delay. Necessary and sufficient conditions are then given for regulability, that is, for the existence of a dynamic output feedback compensator with pure delays such that the closed-loop system is internally pointwise stable and thus stable independent of delay. Necessary and sufficient conditions involving matrix- fraction descriptions are also given for the existence of a state realization which is regulable. Finally, the problem of stabilization using nondynamic state feedback is briefly considered in the case when the systems input matrix has constant rank.
APPROVED FOR PUBLIC RELEASE