Lyapunov stability

Discrete-time selfish routing converging to the wardrop equilibrium

This paper presents a discrete-time, distributed and
non-cooperative routing algorithm, which is proved, via Lyapunov
arguments, to asymptotically converge to a specific equilibrium
condition among the traffic flows over the network paths, known
as Wardrop equilibrium. This convergence result improves the
discrete-time algorithms in the literature, which achieve
approximate convergence to the Wardrop equilibrium. Numerical
simulations show the effectiveness of the proposed approach.

Nonlinear Earth orbit control using low-thrust propulsion

This research is focused on the definition, analysis, and numerical testing of an effective nonlinear orbit control technique tailored to compensating orbit perturbations, as well as possible errors at orbit injection of low- and medium-altitude Earth-orbit satellites. A general, systematic approach to real-time orbit control is presented, under the assumption that the satellite of interest is equipped with a steerable and throttleable low-thrust propulsion system. Two different operational orbits are considered: (a) very-low-altitude Earth orbit and (b) medium-altitude Earth orbit.

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