Title: Combinatorial and complexity theoretic aspects of Stabilities and Controllabilities of linear switched systems(discrete and continuous time)
| Speaker: | Leonid Gurvits |
| Affiliation: | The City College of New York |
| Location: | MC 5501 |
Abstract: I will talk about my "pre-hyperbolic" research, some of it done jointly with Alex Samorodnitsky and Alex Olshevsky.
For
example:
1.
One
of
the
results
I
plan
to
present
gives
a
criteria
for
the
existence
of
n×n
real
Hadamard
Matrix
expressed
in
terms
of
best
approximation
of
so
called
joint
spectral
radius
by
quadratic
Lyapunov
Functions.
2.
Another
one
is
about
a
complexity
theoretic
separation
in
analysis
of
Switched
Absolute
Stability
for
Open
Classical(easy)
and
Quantum(hard)
Linear
Continuous
Time
Systems.
3.
Time
permitting,
a
separation
between
separable
vs
entangled
states
will
be
presented
in
terms
regular
vs
nonregular
languages.
The
talk
should
be
accessible
to
wide
mathematical
audience
as
all
necessary
notions
will
be
introduced/explained
on
the
fly.