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We investigate the invariance properties of a class of switched systems where the value of a switching signal determines the current mode of operation (among a finite number of them) and, for each fixed mode, its dynamics are described by a Differential-Algebraic Equation (DAE). Motivated by the lack of invariance principles of switched DAE systems, we develop such principles for switched DAE systems under arbitrary and dwell-time switching. By obtaining a hybrid system model that describes the switched DAE system, we build from invariance results, for hybrid systems, the invariance principles for such switched systems. Examples are included to illustrate the results. [ABSTRACT FROM AUTHOR]

The current mobility conditions in Colombia give place to questions about the suitability of the traffic control strategies applied on the Colombian urban networks. Therefore, a review of the control strategies and simulation platforms used in Colombia and around the world is shown. This is done to characterize the level of development of the country, in terms of research and implementation of such control strategies and, furthermore, to formulate proposals oriented towards the improvement of the Colombian urban mobility. [ABSTRACT FROM AUTHOR]