The search session has expired. Please query the service again.
Displaying 501 –
520 of
570
We analyze the controllability of the motion of a fluid by means of the
action of a vibrating shell coupled at the boundary of the fluid. The
model considered is linear. We study its approximate controllability,
i.e. whether the fluid may reach a dense set of final configurations at
a given time. We show that this problem can be reduced to a unique
continuation question for the Stokes system. We prove that this unique
continuation property holds generically among analytic domains and
therefore,...
The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables us to directly...
In this paper we consider an approximate controllability problem for linear parabolic equations with rapidly oscillating coefficients in a periodically perforated domain. The holes are -periodic and of size . We show that, as , the approximate control and the corresponding solution converge respectively to the approximate control and to the solution of the homogenized problem. In the limit problem, the approximation of the final state is alterated by a constant which depends on the proportion...
In this paper we consider an approximate controllability problem
for linear parabolic equations with rapidly oscillating coefficients
in a periodically perforated
domain. The holes are ε-periodic and of size
ε. We
show that, as ε → 0, the approximate control and
the corresponding solution converge respectively to the
approximate control and to the solution of the homogenized
problem. In the limit problem, the
approximation of the final state is alterated by a constant which
depends
on the
proportion...
The paper studies discrete/finite-difference approximations of optimal control problems governed by continuous-time dynamical systems with endpoint constraints. Finite-difference systems, considered as parametric control problems with the decreasing step of discretization, occupy an intermediate position between continuous-time and discrete-time (with fixed steps) control processes and play a significant role in both qualitative and numerical aspects of optimal control. In this paper we derive an...
We consider a class of discrete-time Markov control processes with Borel state and action spaces, and -valued i.i.d. disturbances with unknown density Supposing possibly unbounded costs, we combine suitable density estimation methods of with approximation procedures of the optimal cost function, to show the existence of a sequence of minimizers converging to an optimal stationary policy
The paper deals with a class of discrete-time stochastic control processes under a discounted optimality criterion with random discount rate, and possibly unbounded costs. The state process and the discount process evolve according to the coupled difference equations
Currently displaying 501 –
520 of
570