[图书][B] Optimal control of ODEs and DAEs

M Gerdts - 2023 - books.google.com
Ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) are
widely used to model control systems in engineering, natural sciences, and economy …

[图书][B] Control and estimation of dynamical nonlinear and partial differential equation systems: Theory and Applications

Robotic and mechatronic systems, autonomous vehicles, electric power systems and smart
grids, as well as manufacturing and industrial production systems can exhibit complex …

A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory

S Hon, J Dong, S Serra-Capizzano - SIAM Journal on Matrix Analysis and …, 2023 - SIAM
In this work, we propose a novel preconditioned Krylov subspace method for solving an
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …

Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids

J Garcke, A Kröner - Journal of Scientific Computing, 2017 - Springer
An approach to solve finite time horizon suboptimal feedback control problems for partial
differential equations is proposed by solving dynamic programming equations on adaptive …

Semismooth Newton methods for optimal control of the wave equation with control constraints

A Kröner, K Kunisch, B Vexler - SIAM journal on control and optimization, 2011 - SIAM
In this paper optimal control problems governed by the wave equation with control
constraints are analyzed. Three types of control action are considered: distributed control …

[图书][B] State-Space approaches for modelling and control in financial engineering

GG Rigatos - 2017 - Springer
The present monograph contains new results and findings on control and estimation
problems for financial systems and for statistical validation of computational tools used for …

A parallel-in-time block-circulant preconditioner for optimal control of wave equations

SL Wu, J Liu - SIAM Journal on Scientific Computing, 2020 - SIAM
In this paper, we propose a new efficient preconditioner for iteratively solving the large-scale
indefinite saddle-point sparse linear system, which arises from discretizing the optimality …

Optimal switching boundary control of a string to rest in finite time

M Gugat - ZAMM‐Journal of Applied Mathematics and …, 2008 - Wiley Online Library
In many control application, switching between different control devices occurs. Here the
problem to control a finite string to the zero state in finite time by controlling the state at the …

Adaptive finite element methods for optimal control of second order hyperbolic equations

A Kröner - Computational methods in applied Mathematics, 2011 - degruyter.com
In this paper we consider a posteriori error estimates for space-time finite element
discretizations for optimal control of hyperbolic partial dierential equations of second order. It …

Crank–Nicolson finite difference schemes for parabolic optimal Dirichlet boundary control problems

C Yang, T Sun - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, we adopt the optimize‐then‐discretize approach to solve parabolic optimal
Dirichlet boundary control problems. First, we derive the first‐order necessary optimality …