On the finiteness of accessibility test for nonlinear discrete-time systems
Mohammad Amin Sarafrazi , Ewa Pawłuszewicz , Zbigniew Bartosiewicz , Ülle Kotta
AbstractIt is shown that for two large subclasses of discrete-time nonlinear systems – analytic systems defined on a compact state space and rational systems – the minimum length r∗ for input sequences, called here accessibility index of the system, can be found, such that from any point x, system is accessible if it is accessible for input sequences of length r∗. Algorithms are presented to compute r∗, as well as an upper bound for it, which can be computed easier, and hence provide finite tests for determination of accessibility. The algorithms also show how to construct the set of points from which the system is not accessible in any finite number of steps. Finally, some relations between generic accessibility of the system and accessibility of individual points in finite steps are given.
|Journal series||International Journal of Control, ISSN 0020-7179, e-ISSN 1366-5820, (N/A 100 pkt)|
|Publication size in sheets||0.50|
|Keywords in English||accessibility, generic accessibility, nonlinear control system, discrete-time system|
|Internal identifier||ROC 19-20|
|Score||= 100.0, 26-03-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 1.285; : 2018 = 2.930 (2) - 2018=2.642 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.