Uniqueness of solutions of relay systems

Y.J. Lootsma; A.J. Schaft, van der; M.K. Camlibel

doi:10.1016/S0005-1098(98)90177-7

Uniqueness of solutions of relay systems

Y.J. Lootsma, A.J. Schaft, van der, M.K. Camlibel

Control Systems

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

51 Citations (Scopus)

Abstract

Conditions are given for uniqueness of solutions of linear time-invariant systems under relay feedback. From a hybrid dynamical point of view this entails the deterministic specification of the discrete transition rules. The results are based on the formulation of relay systems as complementarity systems, and use the constructive theory of the Linear Complementarity Problem.

Original language	English
Pages (from-to)	467-478
Number of pages	12
Journal	Automatica
Volume	35
Issue number	3
DOIs	https://doi.org/10.1016/S0005-1098(98)90177-7
Publication status	Published - 1999

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title = "Uniqueness of solutions of relay systems",

abstract = "Conditions are given for uniqueness of solutions of linear time-invariant systems under relay feedback. From a hybrid dynamical point of view this entails the deterministic specification of the discrete transition rules. The results are based on the formulation of relay systems as complementarity systems, and use the constructive theory of the Linear Complementarity Problem.",

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AB - Conditions are given for uniqueness of solutions of linear time-invariant systems under relay feedback. From a hybrid dynamical point of view this entails the deterministic specification of the discrete transition rules. The results are based on the formulation of relay systems as complementarity systems, and use the constructive theory of the Linear Complementarity Problem.

U2 - 10.1016/S0005-1098(98)90177-7

DO - 10.1016/S0005-1098(98)90177-7

M3 - Article

SN - 0005-1098

VL - 35

SP - 467

EP - 478

JO - Automatica

JF - Automatica

IS - 3

ER -

Uniqueness of solutions of relay systems

Abstract

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