A new computational approach for solving optimal control of linear PDEs problem
DOI10.1007/s10255-014-0415-7zbMath1304.49010OpenAlexW1507410649MaRDI QIDQ477501
Ali Vahidian Kamyad, M. Mahmoudi, Sohrab Effati
Publication date: 9 December 2014
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-014-0415-7
optimal controlToeplitz matrixnonlinear programmingsemigroup theorysystem of ODEslinear parabolic PDE
Initial-boundary value problems for higher-order parabolic equations (35K35) One-parameter semigroups and linear evolution equations (47D06) Semi-infinite programming (90C34) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Cites Work
- Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints
- Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices
- Introduction to large truncated Toeplitz matrices
- Analysis and control of parabolic PDE systems with input constraints.
- Error estimates for parabolic optimal control problems with control constraints
- Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- Perspectives in Flow Control and Optimization
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