摘要: The problem of control of nonlinear systems of the type z=Az + Nz + Bu, Z(0) = z sub 0, where A is linear, N is nonlinear, z is the state and u is the control is studied. The linear operator A is assumed to generate a strongly con... 展开 The problem of control of nonlinear systems of the type z=Az + Nz + Bu, Z(0) = z sub 0, where A is linear, N is nonlinear, z is the state and u is the control is studied. The linear operator A is assumed to generate a strongly continuous semigroup S(t) on the state space Z. The problem of controllability is to find a control u(.) which drives the system from z sub 0 at t = 0 to a given desired state z sub d at t = T. Here we present the basic ideas of the results obtained when Z is a Hilbert space. 收起