Fractional neural network models for nonlinear Riccati systems

S Lodhi, MA Manzar, MAZ Raja - Neural Computing and Applications, 2019 - Springer
In this article, strength of fractional neural networks (FrNNs) is exploited to find the
approximate solutions of nonlinear systems based on Riccati equations of arbitrary order …

The stochastic linear quadratic optimal control problem on Hilbert spaces: The case of non-analytic systems

A Tuffaha - Applied Mathematics & Optimization, 2023 - Springer
We derive the algebraic Riccati equation associated with the infinite dimensional linear
quadratic stochastic optimal control problem on an infinite horizon, for stochastic control …

The stochastic linear quadratic control problem with singular estimates

C Hafizoglu, I Lasiecka, T Levajkovic, H Mena… - SIAM Journal on Control …, 2017 - SIAM
We study an infinite dimensional finite horizon stochastic linear quadratic control problem in
an abstract setting. We assume that the dynamics of the problem are generated by a strongly …

Optimal boundary control with critical penalization for a PDE model of fluid–solid interactions

F Bucci, I Lasiecka - Calculus of Variations and Partial Differential …, 2010 - Springer
We study the finite-horizon optimal control problem with quadratic functionals for an
established fluid-structure interaction model. The coupled PDE system under investigation …

Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations

P Acquistapace, F Bucci - Annali di Matematica Pura ed Applicata (1923-), 2023 - Springer
In this article we address the issue of uniqueness for differential and algebraic operator
Riccati equations, under a distinctive set of assumptions on their unbounded coefficients …

Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid–structure interaction

I Lasiecka, A Tuffaha - Systems & control letters, 2009 - Elsevier
We consider a Bolza boundary control problem involving a fluid–structure interaction model.
The aim of this paper is to develop an optimal feedback control synthesis based on Riccati …

Finite-dimensional attractor for a composite system of wave/plate equations with localized damping

F Bucci, D Toundykov - Nonlinearity, 2010 - iopscience.iop.org
The long-term behaviour of solutions to a model for acoustic–structure interactions is
addressed; the system consists of coupled semilinear wave (3D) and plate equations with …

A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control

P Acquistapace, F Bucci, I Lasiecka - SIAM Journal on Mathematical Analysis, 2013 - SIAM
We study the infinite horizon linear-quadratic (LQ) problem and the associated algebraic
Riccati equations for systems with unbounded control actions. The operator-theoretic context …

[PDF][PDF] A Bolza optimal synthesis problem for singular estimate control systems

I Lasiecka, A Tuffaha - Control and Cybernetics, 2009 - eudml.org
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n tr sub ro da sub uc ot sub ion to the power of n re sub s ectt oth e ip votspac.... Y period …

An optimal uniqueness result for Riccati equations arising in abstract parabolic control problems

P Acquistapace, F Bartaloni - arXiv preprint arXiv:2412.19678, 2024 - arxiv.org
An abstract nonautonomous parabolic linear-quadratic regulator problem with very general
final cost operator P_T is considered, subject to the same assumptions under which a …