Accession Number:

ADA151444

Title:

Pointwise Stability and Feedback Control of Linear Systems with Noncommensurate Time Delays.

Descriptive Note:

Journal article,

Corporate Author:

FLORIDA UNIV GAINESVILLE

Personal Author(s):

• Kamen, E. W.
• Khargonekar, P. P.
• Tannenbaum, A.

Report Date:

1984-01-01

Pagination or Media Count:

28.0

Abstract:

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.

Descriptors:

• *CONTROL THEORY
• CLOSED LOOP SYSTEMS
• DELAY
• FEEDBACK
• LINEAR SYSTEMS
• MATRIX THEORY
• OUTPUT
• STABILITY
• TIME INTERVALS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE