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Linear Control and Estimation Using Operator Factorization

Hagander, PerDepartment of Automatic Control, Lund Institute of Technology (LTH)1971

… using basic linear algebra. The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of these triangular operator equations is then obtained by two …

lund Repository record for Linear Control and Estimation Using Operator Factorization (opens in a new tab)

Some stochastic integral and discrete equations of the volterra and fredholm types with applications

Padgett, W. J.Virginia Tech1971

… or stochastic integral equations of the Volterra type in the form x(t;w) = h(tiW) + fa k(t,T~w)f(T,x(Tjw»dT, t > 0, and of the Fredholm type in the form 00 x(tjw) = h(t:w) + fa ko(t,T;w)e(T,x(T;w»dT, t ~ 0, where w £ Q, the supporting set of a complete probability measure space (n,A,p). A …

vt Repository record for Some stochastic integral and discrete equations of the volterra and fredholm types with applications (opens in a new tab)

Lebesgue - Stieltjes integral equations of the first kind

Hattan, Corinne RoseUniversity of Illinois at Urbana-Champaign1945

uiuc Repository record for Lebesgue - Stieltjes integral equations of the first kind (opens in a new tab)