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This paper provides an introduction to several problems and techniques related to controlling periodic motions of dynamical systems. In particular, we define and discuss problems of motion planning and orbit planning, analysis methods such as the classical Poincaré first-return map and the transverse linearization, and exponentially orbitally stabilizing(More)
The problem of the global and local stabilization of invariant sets for general nonlinear controlled systems is considered. New state feedback stabilizing controllers and su$cient conditions of asymptotic stability of a goal set with the speci"ed region of attraction are proposed. The proofs of the obtained results are based on the detailed analysis of(More)