FR

EN

Homepage Inria website
  • Inria login
  • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

  • Legal notice
  • Cookie management
  • Personal data
  • Cookies
DISCO - 2013



Section: New Results

Stability analysis of fractional neutral systems with commensurate delays

Participants : Le Ha Vy Nguyen, Catherine Bonnet.

Fractional neutral systems with commensurate delays have chains of poles aymptotic to vertical lines. The case where the imaginary axis is an asymptotic one is interesting. Indeed, if the system has some chains of poles asymptotic to the imaginary axis, then the fact that all poles lie in the open left half-plane does not guarantee the H-stability of the system.

This kind of systems was studied in [97] , [104] . In [97] , systems with single chains of poles asymptotic to the imaginary axis was considered and necessary and sufficient conditions for H-stability were derived. Some particular systems with multiple chains have been examined in [104] . We have extended this year this study to more general systems with multiple chains of poles approaching the imaginary axis.