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LMI-Based Analysis and Stabilization of Nonlinear Descriptors with Multiple Delays via Delayed Nonlinear Controller Schemes

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  • Javier Adrián Romero-Vega
  • Raúl Villafuerte-Segura
  • Víctor Estrada-Manzo

Abstract

This paper presents a convex approach for nonlinear descriptor systems with multiple delays; it allows designing delayed nonlinear controllers such that the closed-loop system holds exponential estimates for convergence. The proposal takes advantage of an equivalent convex representation of the given descriptor model together with Lyapunov-Krasovskii functionals; thus, the conditions are in the form of linear matrix inequalities, which can be efficiently solved by commercially available software. To avoid possible saturation in the actuators, conditions for bounding the control input are also given. Numerical and academic examples illustrate the performance of the proposal.

Suggested Citation

  • Javier Adrián Romero-Vega & Raúl Villafuerte-Segura & Víctor Estrada-Manzo, 2021. "LMI-Based Analysis and Stabilization of Nonlinear Descriptors with Multiple Delays via Delayed Nonlinear Controller Schemes," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-19, March.
    • Handle: RePEc:hin:jnlmpe:6646231
    DOI: 10.1155/2021/6646231
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