Abstract
Given in this paper are the control systems with adaptable indexes in the phase space, a development of the subject of previous paper. The results obtained are as follows:
1) Basic equation of the control system with adaptable indexes has same property in the phase space as one of conventional control systems.
2) Pontriagin's maximum principle can be applied to the control system with adaptable indexes.
3) General method is discussed to determine the region which contains necessary conditions for the optimum control system with adaptable indexes.
4) Concept of the control system with adaptable indexes is useful for unified consideration of approximation problems.
