On infinite-dimensional control systems with state and control constraints
Control systems governed by semilinear evolution equations with general time dependent state and control constraints are considered. The relaxed system as well as the dependence of the solution set of the original system on the initial condition is investigated. Then, necessary and sufficient conditions for the solution of nonlinear, convex optimization problems and for controllability are given.
scientific article; zbMATH DE number 4153305
scientific article