×

On the problem of optimal stabilization for nonlinear systems. (Russian. English summary) Zbl 0573.49001

The existence of an optimal control is proved for a nonlinear control system \[ \dot x=Rx+Qu+F(x)x \] concerning the problem of optimal stabilization with a square quality criterion. The method of successive approximations is used.

MSC:

49J15 Existence theories for optimal control problems involving ordinary differential equations
93C10 Nonlinear systems in control theory
93D15 Stabilization of systems by feedback
49M99 Numerical methods in optimal control
93C15 Control/observation systems governed by ordinary differential equations
PDFBibTeX XMLCite