Approximate controllability of a reaction-diffusion system with a cross-diffusion matrix and fractional derivatives on bounded domains.
Approximate controllability of abstract discrete-time systems.
Approximate controllability of delayed semilinear control systems.
Approximate controllability of distributed systems by distributed controllers.
Approximate controllability of infinite dimensional systems of the n-th order
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...
Approximate controllability of linear parabolic equations in perforated domains
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...
Approximate Controllability of linear parabolic equations in perforated domains
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...
Approximate controllability of neutral functional differential system with unbounded delay.
Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces.
Approximate controllability of semilinear neutral systems in Hilbert spaces.
Approximate maximum principle for discrete approximations of optimal control systems with nonsmooth objectives and endpoint constraints
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...
Approximate stable multidimensional polynomial factorization into linear -D polynomial factors
Approximating value functions for controlled degenerate diffusion processes by using piece-wise constant policies.
Approximation and adaptive control of Markov processes: Average reward criterion
Approximation and estimation in Markov control processes under a discounted criterion
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
Approximation and optimality necessary conditions in relaxed stochastic control problems.
Approximation approach for nonlinear filtering problem with time dependent noises. I. Conditionally optimal filter in the minimum mean square sense
Approximation approach for nonlinear filtering problem with time dependent noises. II. Stable nonlinear filters
Approximation, estimation and control of stochastic systems under a randomized discounted cost criterion
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
Approximation numérique d'une inéquation quasi variationnelle liée à des problèmes de gestion de stock