A proof is given of the existence and uniqueness of the solution to the automatic control problem with a nonlinear state equation of the form y' = f(t,y,u) and nonlinear operator controls u = U(y) acting onto the state function y which satisfies the initial condition y(t) = x(t) for t or = 0.
Existence and uniqueness of solutions to a class of nonlinear-operator-differential equations arising in automated spaceship navigation
1981-05-01
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English