Stabilization of bilinear continuous-time systems

Nikolaos Athanasopoulos, George Bitsoris, Marina Vassilaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 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 languageEnglish
Title of host publicationProceedings of the 19th Mediterranean Conference on Control & Automation
Publisher IEEE
DOIs
Publication statusPublished - 2010

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    Athanasopoulos, N., Bitsoris, G., & Vassilaki, M. (2010). Stabilization of bilinear continuous-time systems. In Proceedings of the 19th Mediterranean Conference on Control & Automation IEEE . https://doi.org/10.1109/MED.2010.5547708