Some observations about dissipative properties for dynamical systems under change of variables
Por:
Fernández-Anaya G., Flores-Godoy J.
Publicada:
1 ene 2011
Resumen:
This note gives results about the preservation of some dissipative properties of systems under a change of variables. In the textbooks it is not mentioned explicitly the relationship between the equations associated with the dynamics of a system and the selected Lyapunov function to establish its stability property, when a change of coordinates is used. Based on the fact that Lyapunov stability is preserved under these changes of variables, it is shown that various forms of dissipativity can be preserved. In addition, we will show that the input-state stability (ISS), integral input-to-state stability (iISS) and input/output to state stability (IOSS) can be preserved under this class of transformation. Some examples are given to show these results. © Fernández-Anaya and Flores-Godoy; Licensee Bentham Open.
Filiaciones:
Fernández-Anaya G.:
Departamento de Física y Matemáticas, Universidad Iberoamericana, Paseo de la Reforma #880, Lomas de Santa Fe México, D.F. 01219, Mexico
Flores-Godoy J.:
Departamento de Física y Matemáticas, Universidad Iberoamericana, Paseo de la Reforma #880, Lomas de Santa Fe México, D.F. 01219, Mexico
Bronze
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