Introduction

Abstract

It is well known that a state of dynamical systems may be easily changed into another state by the free motion or inputs except equilibrium state and also known that the output value of a state may be different from the output value of the preceding state. Even if the state of control target except an equilibrium state can be obtained from any state by an input sequence, the state will change into a different state at the next time. This means that if we want to construct a control system to be smooth and gradual, we may consider input output control problem. Therefore, in the sense of input and output, control problem of input output is more practical than control problem of input and state which is used in the usual control problem.