[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 …
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 …
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 …
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 …
differential equations is proposed by solving dynamic programming equations on adaptive …
Semismooth Newton methods for optimal control of the wave equation with control constraints
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 …
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 …
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 …
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 …
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 …
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 …
Dirichlet boundary control problems. First, we derive the first‐order necessary optimality …