Abstract:
The present study concerns a frequency domain approach in the
stability analysis and stabilization via reduced-order controller
design for linear time-invariant retarded Time-delay systems. More
precisely, we address the problem of the spectral abscissa
characterization and the coexistence of non oscillating modes for
such functional differential equations. The design approach we
propose is merely a delayed-output-feedback where the candidates'
parameters result from the manifold defined by the coexistence of
an exact number of negative spectral values, which guarantees the
asymptotic stability of the system's solutions. The dominance of
such non oscillating modes is analytically shown for the
considered reduced order Time-delay systems. Finally, using the
W-Lambert function, further description of the spectrum
distribution is presented.
Key Words: time-delay systems, stability, spectral abscissa, control design, pole assignment, non oscillation.
2010 Mathematics Subject Classification: Primary 34K06 ; Secondary 35B35, 34C60, 70J25.
