Max-plus fundamental solution semigroups for dual operator differential Riccati equations

Algebraic properties of dynamic programming are exploited to develop a max-plus dual space fundamental solution semigroup of max-plus linear max-plus integral operators for the general solution of a restricted class of operator differential Riccati equations. By examining the kernels of these max-plus linear max-plus integral operators, it is shown that a class of dual operator Riccati equations is defined for which the developed semigroup of operators defines a max-plus primal space fundamental solution semigroup.