A Test for the Generic Strong Accessibility of Meromorphic Nonlinear Systems

Francesco Carravetta , Mohammad Amin Sarafrazi , Zbigniew Bartosiewicz , Ülle Kotta

Abstract

This paper provides a new analytic test to check strong accessibility of nonlinear control systems. This test can be applied to nonlinear systems described by meromorphic vector fields (whose components are fractions of analytic functions). The test consists in checking the rank of a certain finite matrix (which extends to a nonlinear case the classical ’controllability matrix’ of linear systems theory) and, unlike the classical accessibility test, always terminates giving an exhaustive answer (yes/no) within a fixed number of steps. Further, a generic feature of accessibility is proven: the accessibility from a point p of the system analyticity domain implies the accessibility from almost every point of the domain (generic strong accessibility). The paper provides two simple examples which illustrate the proposed analytic test and its advantages with respect to the existing results.
Author Francesco Carravetta
Francesco Carravetta,,
-
, Mohammad Amin Sarafrazi
Mohammad Amin Sarafrazi,,
-
, Zbigniew Bartosiewicz (FCS / DM)
Zbigniew Bartosiewicz,,
- Department of Mathematics
, Ülle Kotta
Ülle Kotta,,
-
Journal seriesIEEE Transactions on Automatic Control, ISSN 0018-9286, e-ISSN 1558-2523, (N/A 200 pkt)
Issue year2020
Vol65
No2
Pages867-873
Publication size in sheets0.5
Keywords in EnglishNonlinear system, Controllability, Accessibility, Meromorphic function, Differential field, Feedback linearizability
ASJC Classification1706 Computer Science Applications; 2207 Control and Systems Engineering; 2208 Electrical and Electronic Engineering
DOIDOI:10.1109/TAC.2019.2921645
Internal identifierROC 19-20
Languageen angielski
Score (nominal)200
Score sourcejournalList
ScoreMinisterial score = 200.0, 26-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 2.626; WoS Impact Factor: 2018 = 5.093 (2) - 2018=5.816 (5)
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