TY - GEN
T1 - Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium
AU - Inoue, Masaki
AU - Arai, Takayuki
AU - Imura, Jun Ichi
AU - Kashima, Kenji
AU - Aihara, Kazuyuki
PY - 2014/7/22
Y1 - 2014/7/22
N2 - In this paper, we consider robust stability and in- stability of an uncertain nonlinear system with an uncertainty- dependent equilibrium. In conventional approaches to the analysis, it is assumed that the location of the equilibrium in the nonlinear system is not shifted by the uncertainty and then the robustness is discussed. However, the assumption does not hold for general nonlinear systems. We consider nonlinear feedback systems with dynamic uncertainties and propose robust stability and instability analysis methods for such systems by treating the uncertainty-dependent equilibrium. Finally, an illustrative example for stability and instability analysis of an uncertain genetic network model is presented.
AB - In this paper, we consider robust stability and in- stability of an uncertain nonlinear system with an uncertainty- dependent equilibrium. In conventional approaches to the analysis, it is assumed that the location of the equilibrium in the nonlinear system is not shifted by the uncertainty and then the robustness is discussed. However, the assumption does not hold for general nonlinear systems. We consider nonlinear feedback systems with dynamic uncertainties and propose robust stability and instability analysis methods for such systems by treating the uncertainty-dependent equilibrium. Finally, an illustrative example for stability and instability analysis of an uncertain genetic network model is presented.
UR - http://www.scopus.com/inward/record.url?scp=84911496185&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84911496185&partnerID=8YFLogxK
U2 - 10.1109/ECC.2014.6862228
DO - 10.1109/ECC.2014.6862228
M3 - Conference contribution
AN - SCOPUS:84911496185
T3 - 2014 European Control Conference, ECC 2014
SP - 1486
EP - 1491
BT - 2014 European Control Conference, ECC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 13th European Control Conference, ECC 2014
Y2 - 24 June 2014 through 27 June 2014
ER -