### Optimization and Systems Theory Seminar

Friday, September 21 2007, 11.00-12.00, Room 3721, Lindstedtsvägen 25

** Hisaya Fujioka**

** Department of Applied Analysis and Complex Dynamical Systems, **

Kyoto University, Japan

E-mail: fujioka@i.kyoto-u.ac.jp

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Stability analysis for a class of networked/embedded control systems:

continuous- and discrete-time approaches

Motivated by the widespread use of networked and/or embedded control systems,
stability analysis problem is considered for sampled-data feedback control
systems with uncertainly time-varying sampling intervals. In the first part the
problem is cast into a robustness analysis problem, where the nominal part is a
continuous-time FDLTI system and then the perturbation is a time-varying delay.
It is shown that the IQC technique improves small-gain type results in the
literature. In the second part of the talk, the problem is again cast to a
robustness problem,but the related periodic sampled-data system is taken as the
nominal part.

A stability analysis algorithm is developed based on the robustness against
the variation of sampling intervals derived by the small-gain condition.

Calendar of seminars
*Last update: August 10, 2007 by
Marie Lundin.
*