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SUMMARY:Christoph Kawan (LMU München\, Germany)
DTSTART;VALUE=DATE-TIME:20210708T150000Z
DTEND;VALUE=DATE-TIME:20210708T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T234112Z
UID:ISS-Theory/1
DESCRIPTION:by Christoph Kawan (LMU München\, Germany) as part of Input-t
o-State Stability and its Applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ISS-Theory/1/
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SUMMARY:Iasson Karafyllis (National Technical University of Athens\, Greec
e)
DTSTART;VALUE=DATE-TIME:20210715T150000Z
DTEND;VALUE=DATE-TIME:20210715T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T234112Z
UID:ISS-Theory/2
DESCRIPTION:Title: IOS-gains and asymptotic gains for linear systems\nby Iasson Karafy
llis (National Technical University of Athens\, Greece) as part of Input-t
o-State Stability and its Applications\n\n\nAbstract\nThe talk will be dev
oted to the presentation of a fundamental relation between Output \nAsympt
otic Gains (OAG) and Input-to-Output Stability (IOS) gains for li
near \nsystems. More specifically\, it will be shown that for eve
ry Input-to-State Stable\, \nstrictly causal linear system the minimum O
AG is equal to the minimum IOS-gain. \nMoreover\, both quantities can
be computed by solving a specific optimal control \nproblem and by
considering periodic inputs only. The result is valid for wide classes \no
f linear systems (including delay systems or systems described by
PDEs). The \ncharacterization of the minimum IOS-gain is importan
t because it allows the non-\nconservative computation of the IOS
-gains\, which can be used in a small-gain \nanalysis. A number
of cases of finite-dimensional linear systems will also be \nprese
nted\, where exact computation of the minimum IOS-gain can be pe
rformed. \nLinks to notions used extensively in the literature of linear s
ystems (e.g.\, the BIBO \nnorm or the notion of an admissible operator) wi
ll be provided.\n
LOCATION:https://researchseminars.org/talk/ISS-Theory/2/
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BEGIN:VEVENT
SUMMARY:Miroslav Krstic (UC San Diego\, USA)
DTSTART;VALUE=DATE-TIME:20210722T150000Z
DTEND;VALUE=DATE-TIME:20210722T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T234112Z
UID:ISS-Theory/3
DESCRIPTION:by Miroslav Krstic (UC San Diego\, USA) as part of Input-to-St
ate Stability and its Applications\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ISS-Theory/3/
END:VEVENT
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SUMMARY:Romain Postoyan (CNRS\, Université de Lorraine\, France)
DTSTART;VALUE=DATE-TIME:20210729T150000Z
DTEND;VALUE=DATE-TIME:20210729T160000Z
DTSTAMP;VALUE=DATE-TIME:20210612T234112Z
UID:ISS-Theory/4
DESCRIPTION:Title: Event-Triggered Control Through the Eyes of Hybrid Small-Gain Theorem\nby Romain Postoyan (CNRS\, Université de Lorraine\, France) as part o
f Input-to-State Stability and its Applications\n\n\nAbstract\nA common ap
proach to design event-triggered controllers is emulation. The idea is to
first construct a feedback law in continuous-time\, which ensures the desi
red closed-loop properties. Then\, the communication constraints between t
he plant and the controller are taken into account and a triggering rule i
s synthesized to generate the transmission instants in such a way that the
properties of the continuous-time closed-loop system are preserved\, and
a strictly positive minimum inter-event time exists\, which is essential i
n practice.\n\nVarious triggering rules have been proposed in this context
in the literature\, including relative threshold\, fixed threshold\, dyna
mic triggering law to mention a few. We will show in this talk that these
seemingly unrelated techniques can all be interpreted in a unified manner.
Indeed\, it appears that all them guarantee the satisfaction of the condi
tions of a hybrid small-gain theorem. This unifying perspective provides c
lear viewpoints on the essential differences and similarities of existing
event-triggering policies. Interestingly\, for all the considered laws\, t
he small-gain condition vacuously holds in the sense that one of the inter
connection gains is zero. We then exploit this fact to modify the original
triggering law in such a way that the small-gain condition is no longer t
rivially satisfied. By doing so\, we obtain redesigned strategies\, which
may reduce the number of transmissions as illustrated by an example.\n
LOCATION:https://researchseminars.org/talk/ISS-Theory/4/
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