%0 Conference Proceedings
%T On Quantization in Discrete-Time Control Systems: Stability Analysis of Ternary Controllers
%+ Dynamical Interconnected Systems in COmplex Environments (DISCO)
%+ Laboratoire des signaux et systèmes (L2S)
%+ CentraleSupélec
%+ GIPSA - Infinite Dimensional Dynamics (GIPSA-INFINITY)
%A Valmorbida, Giorgio
%A Ferrante, Francesco
%< avec comité de lecture
%B CDC 2020 - 59th IEEE Conference on Decision and Control
%C Jeju Island (virtual), South Korea
%P 2543-2548
%8 2020-12-14
%D 2020
%R 10.1109/CDC42340.2020.9304125
%Z Computer Science [cs]/Automatic Control EngineeringConference papers
%X This paper studies feedback system with a state-feedback law with a ternary nonlinearity in the feedback loop. We propose a novel Lyapunov-based approach that takes advantage of a framework recently developed to assess positivity of generalized piece-wise quadratic forms. Such an approach is used to compute piece-wise quadratic function as stability certificates of the non-linear system.
%G English
%L hal-03092417
%U https://hal.science/hal-03092417
%~ UGA
%~ CNRS
%~ INRIA
%~ INPG
%~ GIPSA
%~ INRIA-SACLAY
%~ SUP_LSS
%~ INRIA_TEST
%~ SUP_SYSTEMES
%~ TESTALAIN1
%~ CENTRALESUPELEC
%~ INRIA2
%~ UNIV-PARIS-SACLAY
%~ GIPSA-PAD
%~ GIPSA-INFINITY
%~ TEST-HALCNRS
%~ UNIVERSITE-PARIS-SACLAY
%~ UGA-EPE
%~ ANR
%~ GS-ENGINEERING
%~ GS-COMPUTER-SCIENCE
%~ GS-SPORT-HUMAN-MOVEMENT
%~ DISCO-L2S