On robustness against disturbances of passive systems with multiple invariant sets

Standard

On robustness against disturbances of passive systems with multiple invariant sets. / Barroso, N. F.; Ushirobira, R.; Efimov, D.; Fradkov, A. L.

In: International Journal of Control, 20.04.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{5d79c0a964f649d493d2a91bfa81f283,

title = "On robustness against disturbances of passive systems with multiple invariant sets",

abstract = "Robustness of stability with respect to external perturbations is an important property characterising the ability of the dynamics to counteract the influence of uncertainties. In the present paper, such a property is investigated for the class of passive and strictly passive systems, which have several invariant compact and globally attracting subsets in the unforced scenario. It is assumed that the storage and supply rate functions are sign-definite with respect to these sets. The results are obtained within the framework of input-to-state stability and integral input-to-state stability for multistable systems. The robustness conditions are obtained for open-loop and for closed-loop cases, i.e. when an output feedback is required to guarantee robustness. Two applications (related to the model of multispecies populations) of the proposed theory are used to illustrate its efficiency.",

keywords = "input-to-state stability, integral input-to-state stability, Lyapunov methods, multistability, Passive systems, robust stability",

author = "Barroso, {N. F.} and R. Ushirobira and D. Efimov and Fradkov, {A. L.}",

year = "2020",

month = apr,

day = "20",

doi = "10.1080/00207179.2020.1750709",

language = "English",

journal = "International Journal of Control",

issn = "0020-7179",

publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - On robustness against disturbances of passive systems with multiple invariant sets

AU - Barroso, N. F.

AU - Ushirobira, R.

AU - Efimov, D.

AU - Fradkov, A. L.

PY - 2020/4/20

Y1 - 2020/4/20

N2 - Robustness of stability with respect to external perturbations is an important property characterising the ability of the dynamics to counteract the influence of uncertainties. In the present paper, such a property is investigated for the class of passive and strictly passive systems, which have several invariant compact and globally attracting subsets in the unforced scenario. It is assumed that the storage and supply rate functions are sign-definite with respect to these sets. The results are obtained within the framework of input-to-state stability and integral input-to-state stability for multistable systems. The robustness conditions are obtained for open-loop and for closed-loop cases, i.e. when an output feedback is required to guarantee robustness. Two applications (related to the model of multispecies populations) of the proposed theory are used to illustrate its efficiency.

AB - Robustness of stability with respect to external perturbations is an important property characterising the ability of the dynamics to counteract the influence of uncertainties. In the present paper, such a property is investigated for the class of passive and strictly passive systems, which have several invariant compact and globally attracting subsets in the unforced scenario. It is assumed that the storage and supply rate functions are sign-definite with respect to these sets. The results are obtained within the framework of input-to-state stability and integral input-to-state stability for multistable systems. The robustness conditions are obtained for open-loop and for closed-loop cases, i.e. when an output feedback is required to guarantee robustness. Two applications (related to the model of multispecies populations) of the proposed theory are used to illustrate its efficiency.

KW - input-to-state stability

KW - integral input-to-state stability

KW - Lyapunov methods

KW - multistability

KW - Passive systems

KW - robust stability

UR - http://www.scopus.com/inward/record.url?scp=85083725637&partnerID=8YFLogxK

U2 - 10.1080/00207179.2020.1750709

DO - 10.1080/00207179.2020.1750709

M3 - Article

AN - SCOPUS:85083725637

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

ER -

ID: 75994897