Analytical design of optimal regulators for non-classic quality functionals in a degenerate formulation

The paper considers the problem of analytical design of optimal controllers in the most general formulation for nonlinear plants with affinely (linearly and additively) input states and/or controls. On the basis of a new approach to approximately optimal control synthesis, a generalized theory of analytical design of optimal controllers is being developed. The main theorems are formulated; new concrete forms of non-classical quality functionals are obtained.