Stability results for nonlinear feedback systems

D. J. Hill; P. J. Moylan

doi:10.1016/0005-1098(77)90020-6

Stability results for nonlinear feedback systems

D. J. Hill
, P. J. Moylan

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

440 Citations (Scopus)

Abstract

This paper presents an approach towards deriving sufficient conditions for the stability of nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful stability tests are obtained for the case when the subsystems have nonlinear dynamics; secondly, a unifying set of general stability criteria are given, from which known situations can be treated as special cases and new ones are handled with equal ease. The results are obtained by use of a recently developed theory of dissipative systems.

Original language	English
Pages (from-to)	377-382
Number of pages	6
Journal	Automatica
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/0005-1098(77)90020-6
Publication status	Published - Jul 1977
Externally published	Yes

Keywords

Closed loop systems
Lyapunov methods
nonlinear control systems
stability criteria

Access to Document

10.1016/0005-1098(77)90020-6

Cite this

@article{e78bc30d5b284fa8a6f77cc2b8279168,

title = "Stability results for nonlinear feedback systems",

abstract = "This paper presents an approach towards deriving sufficient conditions for the stability of nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful stability tests are obtained for the case when the subsystems have nonlinear dynamics; secondly, a unifying set of general stability criteria are given, from which known situations can be treated as special cases and new ones are handled with equal ease. The results are obtained by use of a recently developed theory of dissipative systems.",

keywords = "Closed loop systems, Lyapunov methods, nonlinear control systems, stability criteria",

author = "Hill, \{D. J.\} and Moylan, \{P. J.\}",

year = "1977",

month = jul,

doi = "10.1016/0005-1098(77)90020-6",

language = "English",

volume = "13",

pages = "377--382",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

T1 - Stability results for nonlinear feedback systems

AU - Hill, D. J.

AU - Moylan, P. J.

PY - 1977/7

Y1 - 1977/7

N2 - This paper presents an approach towards deriving sufficient conditions for the stability of nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful stability tests are obtained for the case when the subsystems have nonlinear dynamics; secondly, a unifying set of general stability criteria are given, from which known situations can be treated as special cases and new ones are handled with equal ease. The results are obtained by use of a recently developed theory of dissipative systems.

AB - This paper presents an approach towards deriving sufficient conditions for the stability of nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful stability tests are obtained for the case when the subsystems have nonlinear dynamics; secondly, a unifying set of general stability criteria are given, from which known situations can be treated as special cases and new ones are handled with equal ease. The results are obtained by use of a recently developed theory of dissipative systems.

KW - Closed loop systems

KW - Lyapunov methods

KW - nonlinear control systems

KW - stability criteria

UR - https://www.scopus.com/pages/publications/49449122350

U2 - 10.1016/0005-1098(77)90020-6

DO - 10.1016/0005-1098(77)90020-6

M3 - Article

AN - SCOPUS:49449122350

SN - 0005-1098

VL - 13

SP - 377

EP - 382

JO - Automatica

JF - Automatica

IS - 4

ER -

Stability results for nonlinear feedback systems

Abstract

Keywords

Access to Document

Other files and links

Cite this