The numerical solution of<tex>X = A_{1}X + XA_{2} + D, X(0) = C</tex>

DOI10.1109/TAC.1975.1101033zbMath0308.65044OpenAlexW2075247219MaRDI QIDQ4066506

Edward Joseph Davison

Publication date: 1975

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1975.1101033

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Computing continuous numerical solutions of matrix differential equations ⋮ Construction and computation of variable coefficient Sylvester differential problems ⋮ The constant solution method for solving large-scale differential Sylvester matrix equations with time invariant coefficients ⋮ Un metodo a convergenza quadratica per equazioni matriciali lineari ⋮ Stochastic independent modal-space control of distributed-parameter systems ⋮ A formula for the solution of the matrix equation AX+XB=C ⋮ Closed-form solutions for a class of optimal quadratic tracking problems ⋮ A new parameter estimate in singular perturbations ⋮ A noniterative algebraic solution for Riccati equations satisfying two- point boundary-value problems

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