Numerical checking method for positive invariance of polyhedral sets for linear dynamical systems

• Autorzy: Yang H. , Hu Y.

Identyfikatory

DOI

10.24425/bpasts.2020.133110

• Języki publikacji: EN

Abstrakty

EN

Positively invariant sets play an important role in the theory and applications of dynamical systems. The stability in Lyapunov sense of equilibrium x = 0 is equivalent to the existence of the ellipsoidal positively invariant sets. The constraints on the state and control vectors of dynamical systems can be formulated as polyhedral positively invariant sets in practical engineering problems. Numerical checking method of positive invariance of polyhedral sets is addressed in this paper. The validation of the positively invariant sets can be done by solving LPs which can be easily implemented numerically. The effectiveness of the proposed checking method is illustrated by examples. Compared with the now existing algebraic methods, numerical checking method is attractive and, importantly, easy to be implemented.

Słowa kluczowe

EN

positively invariant sets; linear system; polyhedral set; polyhedral cone; linear programming

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2020
• Tom: Vol. 68, nr 3
• Strony: 593--599
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Yang H.

• College of Mathematics and Systems Sciences, Shandong University of Science and Technology, Qingdao Shandong 266590, China

autor

Hu Y.

• Maths & Information Technology School, Yuncheng University, Yuncheng Shanxi 044000, China

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).