TY - JOUR

T1 - On analysis of Persidskii systems and their implementations using LMIs

AU - Efimov, Denis

AU - Aleksandrov, Alexander

N1 - Publisher Copyright: © 2021 Elsevier Ltd

PY - 2021/12

Y1 - 2021/12

N2 - The conditions of (integral) input-to-state stability and input–output-to-state stability are established for a class of generalized Persidskii systems. The proposed conditions are formulated using linear matrix inequalities. Based on these results the conditions of convergence are derived for discretizations of this class of models obtained by the explicit and implicit Euler methods. The proposed theory is finally applied to design a robust stabilization control.

AB - The conditions of (integral) input-to-state stability and input–output-to-state stability are established for a class of generalized Persidskii systems. The proposed conditions are formulated using linear matrix inequalities. Based on these results the conditions of convergence are derived for discretizations of this class of models obtained by the explicit and implicit Euler methods. The proposed theory is finally applied to design a robust stabilization control.

KW - DISSIPATIVE DYNAMICAL-SYSTEMS

KW - STABILITY ANALYSIS

KW - STATE STABILITY

KW - STABILIZATION

KW - INPUT

KW - TIME

KW - DISCRETIZATION

KW - NETWORKS

KW - OUTPUT

UR - http://www.scopus.com/inward/record.url?scp=85116400255&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/452c3f87-a6de-3f6f-b5a4-73866512d55b/

U2 - 10.1016/j.automatica.2021.109905

DO - 10.1016/j.automatica.2021.109905

M3 - Article

AN - SCOPUS:85116400255

VL - 134

JO - Automatica

JF - Automatica

SN - 0005-1098

M1 - 109905

ER -