<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov-Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.</p></abstract>

This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this work is a bounded time-varying function. Previously, we have demonstrated that the equidistant delay-decomposition technique is less conservative when it is applied to linear positive time-delay systems. Thus, we use simply a delay bi-decomposition in an appropriate Lyapunov-Krasovskii functional. By using classical and partitioned control gains, the state-feedback controllers developed in our work are formulated in terms of linear matrix inequalities. The efficiency of the proposed robust control laws is illustrated with via an example.

Robust Controlled Positive Delayed Systems with Interval Parameter Uncertainties: A Delay Uniform Decomposition Approach

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

This paper is concerned with robust stabilization of continuous linear positive time-delay systems with parametric uncertainties. The delay considered in this...

Robust Controlled Positive Delayed Systems with Interval Parameter Uncertainties: A Delay Uniform Decomposition Approach

Published Online: Oct 03, 2018

Page range: 441 - 450

Received: May 06, 2017

Accepted: Apr 07, 2018

DOI: https://doi.org/10.2478/amcs-2018-0033

Keywords
delay systems, robust stabilization, positive systems, parametric constraints, delay decomposition, LMIs

© 2018 Wafa Elloumi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Robust Controlled Positive Delayed Systems with Interval Parameter Uncertainties: A Delay Uniform Decomposition Approach

Published Online: Oct 03, 2018

Page range: 441 - 450

Received: May 06, 2017

Accepted: Apr 07, 2018

DOI: https://doi.org/10.2478/amcs-2018-0033

Keywordsdelay systems, robust stabilization, positive systems, parametric constraints, delay decomposition, LMIs

© 2018 Wafa Elloumi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
delay systems, robust stabilization, positive systems, parametric constraints, delay decomposition, LMIs