Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium

Masaki Inoue; Takayuki Arai; Jun Ichi Imura; Kenji Kashima; Kazuyuki Aihara

doi:10.1109/ECC.2014.6862228

Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium

Masaki Inoue, Takayuki Arai, Jun Ichi Imura, Kenji Kashima, Kazuyuki Aihara

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

7 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	2014 European Control Conference, ECC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1486-1491
Number of pages	6
ISBN (Electronic)	9783952426913
DOIs	https://doi.org/10.1109/ECC.2014.6862228
Publication status	Published - 2014 Jul 22
Externally published	Yes
Event	13th European Control Conference, ECC 2014 - Strasbourg, France Duration: 2014 Jun 24 → 2014 Jun 27

Publication series

Name	2014 European Control Conference, ECC 2014

Other

Other	13th European Control Conference, ECC 2014
Country/Territory	France
City	Strasbourg
Period	14/6/24 → 14/6/27

ASJC Scopus subject areas

Control and Systems Engineering

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10.1109/ECC.2014.6862228

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Inoue, M., Arai, T., Imura, J. I., Kashima, K., & Aihara, K. (2014). Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium. In 2014 European Control Conference, ECC 2014 (pp. 1486-1491). [6862228] (2014 European Control Conference, ECC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2014.6862228

Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium. / Inoue, Masaki; Arai, Takayuki; Imura, Jun Ichi et al.

2014 European Control Conference, ECC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1486-1491 6862228 (2014 European Control Conference, ECC 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Inoue, M, Arai, T, Imura, JI, Kashima, K & Aihara, K 2014, Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium. in 2014 European Control Conference, ECC 2014., 6862228, 2014 European Control Conference, ECC 2014, Institute of Electrical and Electronics Engineers Inc., pp. 1486-1491, 13th European Control Conference, ECC 2014, Strasbourg, France, 14/6/24. https://doi.org/10.1109/ECC.2014.6862228

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AU - Aihara, Kazuyuki

PY - 2014/7/22

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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.

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BT - 2014 European Control Conference, ECC 2014

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Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium

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