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8 papers · 1 filter
Generalized Parameter Estimation-based Observers: Application to Power Systems and Chemical-Biological Reactors
Romeo Ortega, Alexey Bobtsov, Nikolay Nikolaev +2
In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, wh…
Comet and moon solutions in the time-dependent restricted -body problem
Carlos Barrera, Abimael Bengochea, Carlos García-Azpeitia
The time-dependent restricted -body problem concerns the study of a massless body (satellite) under the influence of the gravitational field generated by primary bodies…
Correction to the paper "A robust IDA-PBC approach for handling uncertainties in underactuated mechanical systems"
Alejandro Donaire, Jose Guadalupe Romero, Romeo Ortega
In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.
Regularization of the restricted -body problem on curved spaces
Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos
We consider bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature . In this system, primary bodies with equal masses f…
The boundary of chaos for interval mappings
Trevor Clark, Sofía Trejo
A goal in the study of dynamics on the interval is to understand the transition to positive topological entropy. There is a conjecture from the 1980's that the only route to positi…
Relative equilibria for the positive curved body problem
Ernesto Pérez-Chavela, Juan Manuel Sánchez Cerritos
We consider the body problem defined on surfaces of constant positive curvature. For the 5 and 7 body problem in a collinear symmetric configuration we obtain initial positions…