Abstract :
It is firstly explained that the chaotic states in [Liu X, Teo K-L, Zhang H, Chen G. Switching
control of linear systems for generating chaos. Chaos, Solitons & Fractals 2006;30:725–33]
are obtained by means of nonlinear switching, which is not clearly stated in [Liu et al., 2006].
This explanation shows the usefulness of the point of view on classification of switched
systems as linear or nonlinear, which was developed in some recent works of the author.
Then, some comments on the importance of the study of switched systems for the general
theory of dynamic systems are made. This importance is seen, in particular, through
analysis of the topic of nonlinearity.