### Abstract

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

Title of host publication | Advanced Control Techniques in Complex Engineering Systems |

Subtitle of host publication | Theory and Applications |

Editors | Yuriy P. Kondratenko, Arkadii A. Chikrii, Vyacheslav F. Gubarev, Janusz Kacprzyk |

Place of Publication | Cham, Switzerland |

Publisher | Springer |

Chapter | 2 |

Pages | 35-50 |

Number of pages | 16 |

ISBN (Print) | 9783030219260 |

DOIs | |

Publication status | Published - 3 Sep 2019 |

### Publication series

Name | Studies in Systems, Decision and Control |
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Volume | 203 |

ISSN (Print) | 2198-4182 |

ISSN (Electronic) | 2198-4190 |

### Fingerprint

### Keywords

- switched systems
- average dwell time
- nonlinear systems
- Lyapunov functions

### Cite this

*Advanced Control Techniques in Complex Engineering Systems: Theory and Applications*(pp. 35-50). (Studies in Systems, Decision and Control; Vol. 203). Cham, Switzerland: Springer. https://doi.org/10.1007/978-3-030-21927-7_2

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*Advanced Control Techniques in Complex Engineering Systems: Theory and Applications.*Studies in Systems, Decision and Control, vol. 203, Springer, Cham, Switzerland, pp. 35-50. https://doi.org/10.1007/978-3-030-21927-7_2

**Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control.** / Dimirovski, Georgi; Wang, Jiqiang; Yue, Hong; Stefanovski, Jovan.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - Impact of average-dwell-time characterizations for switched nonlinear systems on complex systems control

AU - Dimirovski, Georgi

AU - Wang, Jiqiang

AU - Yue, Hong

AU - Stefanovski, Jovan

PY - 2019/9/3

Y1 - 2019/9/3

N2 - It is well known, present day theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time. Thus it appears dominantly characterized by some slow switching condition with the average dwell time satisfying a certain lower bound, which implies a constraint nonetheless. In cases of nonlinear systems, there may well appear certain non-expected complexity phenomena of particularly different nature when switching becomes no longer useful. A fast switching condition with average the dwell time satisfying an upper bound is explored and established. A comparison analysis of these innovated characterizations via slightly different overview yielded new results on the transient behaviour of switched nonlinear systems, while preserving the system stability. The approach of multiple Lyapunov functions is used in current analysis and the switched systems framework is believed to be extended slightly. Thus some new insight into the underlying, switching caused, system’s complexities has been achieved.

AB - It is well known, present day theory of switched systems is largely based on assuming certain small but finite time interval termed average dwell time. Thus it appears dominantly characterized by some slow switching condition with the average dwell time satisfying a certain lower bound, which implies a constraint nonetheless. In cases of nonlinear systems, there may well appear certain non-expected complexity phenomena of particularly different nature when switching becomes no longer useful. A fast switching condition with average the dwell time satisfying an upper bound is explored and established. A comparison analysis of these innovated characterizations via slightly different overview yielded new results on the transient behaviour of switched nonlinear systems, while preserving the system stability. The approach of multiple Lyapunov functions is used in current analysis and the switched systems framework is believed to be extended slightly. Thus some new insight into the underlying, switching caused, system’s complexities has been achieved.

KW - switched systems

KW - average dwell time

KW - nonlinear systems

KW - Lyapunov functions

UR - https://www.springer.com/gp/book/9783030219260

U2 - 10.1007/978-3-030-21927-7_2

DO - 10.1007/978-3-030-21927-7_2

M3 - Chapter

SN - 9783030219260

T3 - Studies in Systems, Decision and Control

SP - 35

EP - 50

BT - Advanced Control Techniques in Complex Engineering Systems

A2 - Kondratenko, Yuriy P.

A2 - Chikrii, Arkadii A.

A2 - Gubarev, Vyacheslav F.

A2 - Kacprzyk, Janusz

PB - Springer

CY - Cham, Switzerland

ER -