Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method

摘要

By employing a numerical-analytic method, we establish sufficient conditions for the controllability of systemsdydt=A(t)y+B(t)u+g(t)+f(t,y,z,u)dzdt=F(t,y,z,u),with boundary conditions of the formy(0)=a,y(T)=c,z(0)=b,z(T)=dory(0)=a,y(T)=c,Q0z(0)+Q1z(T)=b,where all functions involved are continuous in their domain of definition, T is a fixed real number, Qj, j=0,1, are constant matrices, y∈Rn, z∈Rk, and u∈Rm.