Formulation of control theory for nonlinear dynamics making full use of structural and quantitative information

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Technologies are advancing toward global and micro objects. In the second half of the 20th century, we looked at sizes in which we could ignore diversity and develop technologies in a straight and uniform (linear) manner. The key to the technological revolution is to tackle an unlimited variety of dynamics which is neither straight nor uniform (nonlinear). To bring about a great change in control engineering whose recent trend has been to focus only on quantitative values in standardized process, this research has developed a fundamental framework for stability theory of nonlinear dynamics, which enables us to integrate quantitative and qualitative information. This interdisciplinary tool helps us solve important dynamics design problems which have remained unsolved.