IOS-gains and asymptotic gains for linear systems
Iasson Karafyllis (National Technical University of Athens, Greece)
Abstract: The talk will be devoted to the presentation of a fundamental relation between Output Asymptotic Gains (OAG) and Input-to-Output Stability (IOS) gains for linear systems. More specifically, it will be shown that for every Input-to-State Stable, strictly causal linear system the minimum OAG is equal to the minimum IOS-gain. Moreover, both quantities can be computed by solving a specific optimal control problem and by considering periodic inputs only. The result is valid for wide classes of linear systems (including delay systems or systems described by PDEs). The characterization of the minimum IOS-gain is important because it allows the non- conservative computation of the IOS-gains, which can be used in a small-gain analysis. A number of cases of finite-dimensional linear systems will also be presented, where exact computation of the minimum IOS-gain can be performed. Links to notions used extensively in the literature of linear systems (e.g., the BIBO norm or the notion of an admissible operator) will be provided.
systems and controlanalysis of PDEsdynamical systemsoptimization and control
Audience: researchers in the topic
Input-to-State Stability and its Applications
Series comments: This is a seminar for the exchange of ideas in input-to-state stability (ISS) theory and related fields.
The scope of the Seminar includes but is not limited to
- ISS for finite-dimensional systems (ODEs, hybrid, impulsive, switched, discrete-time systems),
- Infinite-dimensional ISS theory (PDEs, evolution equations in Banach spaces, time-delay systems, infinite networks)
- Applications to robust control and observation, nonlinear control, network analysis, etc.
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Details for Zoom Meeting (NEW LINK FOR 3rd SEASON)
uni-wuerzburg.zoom-x.de/j/69553567239?pwd=NXlMQlJoK1BBaHRhcGV2Z2NRUHBEQT09
Meeting-ID: 695 5356 7239
Password: 204161
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| Organizers: | Andrii Mironchenko*, Patrick Bachmann* |
| *contact for this listing |