On Lyapunov functions and data-driven dissipativity

T. M. Maupong; J. C. Mayo-Maldonado; P. Rapisarda

doi:10.1016/j.ifacol.2017.08.1052

On Lyapunov functions and data-driven dissipativity

T. M. Maupong, J. C. Mayo-Maldonado, P. Rapisarda

Computer Science & Information Systems

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

Our contribution in this paper is twofold. In the first part, we study Lyapunov functions when a plant is interconnected with a dissipative stabilizing controller. In the second, we present results on data-driven approach to dissipative systems. In particular, we provide conditions under which an observed trajectory can be used to determine whether a system is dissipative with respect to a given supply rate. Our results are based on linear difference systems for which the use of quadratic difference forms play a central role for dissipativity and Lyapunov theory.

Original language	English
Pages (from-to)	7783-7788
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.1052
Publication status	Published - Jul 2017

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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10.1016/j.ifacol.2017.08.1052

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On Lyapunov functions and data-driven dissipativity

Abstract

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