Stabilization of bilinear continuous-time systems

Nikolaos Athanasopoulos; George Bitsoris; Marina Vassilaki

doi:10.1109/MED.2010.5547708

Stabilization of bilinear continuous-time systems

Nikolaos Athanasopoulos, George Bitsoris, Marina Vassilaki

School of Electronics, Electrical Engineering and Computer Science

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

5 Citations (Scopus)

Abstract

In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.

Original language	English
Title of host publication	Proceedings of the 19th Mediterranean Conference on Control & Automation
Publisher	Institute of Electrical and Electronics Engineers Inc.
DOIs	https://doi.org/10.1109/MED.2010.5547708
Publication status	Published - 2010

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10.1109/MED.2010.5547708

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title = "Stabilization of bilinear continuous-time systems",

abstract = "In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.",

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AU - Athanasopoulos, Nikolaos

AU - Bitsoris, George

AU - Vassilaki, Marina

PY - 2010

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N2 - In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.

AB - In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.

U2 - 10.1109/MED.2010.5547708

DO - 10.1109/MED.2010.5547708

M3 - Conference contribution

BT - Proceedings of the 19th Mediterranean Conference on Control & Automation

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Stabilization of bilinear continuous-time systems

Abstract

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