Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions

Hasan A. Poonawala

doi:10.1109/CDC40024.2019.9030067

Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions

Hasan A. Poonawala

Mechanical and Aerospace Engineering

Producción científica: Conference contribution › revisión exhaustiva

7 Citas (Scopus)

Resumen

We present an algorithm for finding piece-wise linear Lyapunov functions that verify the asymptotic stability of piece-wise linear differential inclusions. Existing methods either use a fixed set of pieces (a partition) to define the Lyapunov function, or use heuristic methods to split the pieces, thereby refining the partition. Our algorithm involves iteratively refining partitions using an exact criterion which strictly reduces the set of points over which the Lyapunov function is non-decreasing.

Idioma original	English
Título de la publicación alojada	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Páginas	1442-1447
Número de páginas	6
ISBN (versión digital)	9781728113982
DOI	https://doi.org/10.1109/CDC40024.2019.9030067
Estado	Published - dic 2019
Evento	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duración: dic 11 2019 → dic 13 2019

Serie de la publicación

Nombre	Proceedings of the IEEE Conference on Decision and Control
Volumen	2019-December
ISSN (versión impresa)	0743-1546
ISSN (versión digital)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
País/Territorio	France
Ciudad	Nice
Período	12/11/19 → 12/13/19

Nota bibliográfica

Publisher Copyright:
© 2019 IEEE.

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC40024.2019.9030067

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title = "Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions",

abstract = "We present an algorithm for finding piece-wise linear Lyapunov functions that verify the asymptotic stability of piece-wise linear differential inclusions. Existing methods either use a fixed set of pieces (a partition) to define the Lyapunov function, or use heuristic methods to split the pieces, thereby refining the partition. Our algorithm involves iteratively refining partitions using an exact criterion which strictly reduces the set of points over which the Lyapunov function is non-decreasing.",

author = "Poonawala, \{Hasan A.\}",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 58th IEEE Conference on Decision and Control, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

year = "2019",

month = dec,

doi = "10.1109/CDC40024.2019.9030067",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Poonawala, HA 2019, Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions. En 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9030067, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, pp. 1442-1447, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 12/11/19. https://doi.org/10.1109/CDC40024.2019.9030067

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AB - We present an algorithm for finding piece-wise linear Lyapunov functions that verify the asymptotic stability of piece-wise linear differential inclusions. Existing methods either use a fixed set of pieces (a partition) to define the Lyapunov function, or use heuristic methods to split the pieces, thereby refining the partition. Our algorithm involves iteratively refining partitions using an exact criterion which strictly reduces the set of points over which the Lyapunov function is non-decreasing.

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M3 - Conference contribution

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ER -

Stability Analysis Via Refinement of Piece-wise Linear Lyapunov Functions

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ASJC Scopus subject areas

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