抄録
For a given gradient-like Morse-Smale controlled (GLMSC) system with a certain kind of symmetry, we show the design procedure of an isotopy of feedback control laws for obtaining a GLMSC system with another topological structure. We discuss the transition process between GLMSC systems with the given Morse indices for hyperbolic singular points by using the theory of transition matrix in the Conley index theory, specify the design policy of the isotopy and apply it to an example of a single pendulum system with an input torque.
