Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays

Joint Authors

Chen, Fu
Li, Fangyuan
Kang, Shugui

Source

Mathematical Problems in Engineering

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-05-05

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

In this paper, we deal with the problem of stability and stabilization for linear parameter-varying (LPV) systems with time-varying time delays.

The uncertain parameters are assumed to reside in a polytope with bounded variation rates.

Being main difference from the existing achievements, the representation of the time derivative of the time-varying parameter is under a polytopic structure.

Based on the new representation, delay-dependent sufficient conditions of stability and stabilization are, respectively, formulated in terms of linear matrix inequalities (LMI).

Simulation examples are then provided to confirm the effectiveness of the given approach.

American Psychological Association (APA)

Chen, Fu& Kang, Shugui& Li, Fangyuan. 2019. Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195845

Modern Language Association (MLA)

Chen, Fu…[et al.]. Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1195845

American Medical Association (AMA)

Chen, Fu& Kang, Shugui& Li, Fangyuan. Stability and Stabilization for Polytopic LPV Systems with Parameter-Varying Time Delays. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195845

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1195845