Conditions for abstract nonlinear regulation

Eduardo D. Sontag

doi:https://doi.org/10.1016/S0019-9958(81)90217-5

Conditions for abstract nonlinear regulation

Eduardo D. Sontag

Rutgers, The State University

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

18 Scopus citations

Abstract

This paper studies the general problem of the existence of output (dynamic) stabilizers for a control system. The controller is not assumed to have any special structure. Necessary and sufficient conditions are given in terms of new notions which generalize the usual ones of stabilizability and detectability. In the particular cases of analytic and bilinear systems, these conditions are considerably simplified.

Original language	American English
Pages (from-to)	105-127
Number of pages	23
Journal	Information and Control
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/S0019-9958(81)90217-5
State	Published - Nov 1981

ASJC Scopus subject areas

Engineering(all)

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https://doi.org/10.1016/S0019-9958(81)90217-5

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title = "Conditions for abstract nonlinear regulation",

abstract = "This paper studies the general problem of the existence of output (dynamic) stabilizers for a control system. The controller is not assumed to have any special structure. Necessary and sufficient conditions are given in terms of new notions which generalize the usual ones of stabilizability and detectability. In the particular cases of analytic and bilinear systems, these conditions are considerably simplified.",

author = "Sontag, {Eduardo D.}",

note = "Funding Information: research was supported in part by Air Force Grant AFOSR-80-0196.",

year = "1981",

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AU - Sontag, Eduardo D.

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PY - 1981/11

Y1 - 1981/11

N2 - This paper studies the general problem of the existence of output (dynamic) stabilizers for a control system. The controller is not assumed to have any special structure. Necessary and sufficient conditions are given in terms of new notions which generalize the usual ones of stabilizability and detectability. In the particular cases of analytic and bilinear systems, these conditions are considerably simplified.

AB - This paper studies the general problem of the existence of output (dynamic) stabilizers for a control system. The controller is not assumed to have any special structure. Necessary and sufficient conditions are given in terms of new notions which generalize the usual ones of stabilizability and detectability. In the particular cases of analytic and bilinear systems, these conditions are considerably simplified.

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DO - https://doi.org/10.1016/S0019-9958(81)90217-5

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VL - 51

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JO - Information and Computation

JF - Information and Computation

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ER -

Conditions for abstract nonlinear regulation

Abstract

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