### Abstract

In this article, resilient delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying state delay, nonlinear dynamical perturbation, and controller gain perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state such that the upper value of the weight is unknown, and the norm of the uncertainty of the state feedback gain is assumed to be bounded by a positive constant. The results presented here can be considered as extension of previous work that assumes that the upper value of the nonlinear perturbation weight is known. Here, adaptive control schemes are developed to guarantee asymptotic stabilization of the closed-loop system when the upper bound of the state feedback gain perturbation is known and unknown.

Original language | English |
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Title of host publication | Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 |

Pages | 4001-4006 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 1 Dec 2008 |

Event | 47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008 |

### Publication series

Name | Proceedings of the IEEE Conference on Decision and Control |
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ISSN (Print) | 0191-2216 |

### Other

Other | 47th IEEE Conference on Decision and Control, CDC 2008 |
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Country | Mexico |

City | Cancun |

Period | 9/12/08 → 11/12/08 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008*(pp. 4001-4006). [4739027] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2008.4739027