title: Stabilization of saddle steady states of conservative and weakly damped dissipative dynamical systems.
abstract: An adaptive feedback method for tracking and stabilizing unknown and/or slowly varying saddle-type steady states of conservative and weakly damped dissipative dynamical systems is proposed. We demonstrate that a conservative saddle point can be stabilized with neither unstable nor stable filter technique. The proposed controller involves both filters working in parallel. As a specific example, the Lagrange point L2 of the Sun-Earth system is discussed and the second-order saddle model is considered. Analog simulations have been performed using an inclusive nonlinear electrical circuit, imitating dynamics of a body along the Sun-Earth line. External chaotic perturbations have been used to check the robustness of the control technique.
authors.affiliation: Semiconductor Physics Institute, Center for Physical Sciences and Technology, LT-01108 Vilnius, Lithuania. tamasev@pfi.lt
authors.forename: Arūnas
authors.initials: A
authors.lastname: Tamasevicius
authors.forename: Elena
authors.initials: E
authors.lastname: Tamaseviciūte
authors.forename: Gytis
authors.initials: G
authors.lastname: Mykolaitis
authors.forename: Skaidra
authors.initials: S
authors.lastname: Bumeliene
authors.forename: Raimundas
authors.initials: R
authors.lastname: Kirvaitis