### Abstract

Original language | English |
---|---|

Title of host publication | Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom |

Place of Publication | London |

Publisher | Institution of Engineering and Technology (IET) |

Pages | 613-619 |

ISBN (Print) | 978-184600-0386 |

Publication status | Published - 2010 |

### Fingerprint

### Cite this

*Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom*(pp. 613-619). London: Institution of Engineering and Technology (IET).

}

*Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom.*Institution of Engineering and Technology (IET), London, pp. 613-619.

**Further input-to-state stability subtleties for discrete-time systems.** / Lazar, M.; Heemels, W.P.M.H.; Teel, A.R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Further input-to-state stability subtleties for discrete-time systems

AU - Lazar, M.

AU - Heemels, W.P.M.H.

AU - Teel, A.R.

PY - 2010

Y1 - 2010

N2 - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.

AB - This paper considers input-to-state stability (ISS) analysis of discrete-time systems using continuous Lyapunov functions. The contributions are as follows. Firstly, the existence of a continuous Lyapunov function is related to inherent input-to-state stability on compact sets with respect to both inner and outer perturbations. If the Lyapunov function is K8 - continuous, this result applies to unbounded sets as well. Secondly, continuous control Lyapunov functions are employed to construct input-to-state stabilizing control laws for discrete-time systems subject to bounded perturbations. The goal is to design a receding horizon control scheme that allows the optimization of the ISS gain along a closed-loop trajectory.

M3 - Conference contribution

SN - 978-184600-0386

SP - 613

EP - 619

BT - Proceedings of the UKACC International Conference on Control, 7-10 September 2010, Coventry, United Kingdom

PB - Institution of Engineering and Technology (IET)

CY - London

ER -