On Lyapunov functions and data-driven dissipativity

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)7783-7788
Number of pages6
JournalIFAC-PapersOnLine
Volume50
Issue number1
DOIs
Publication statusPublished - Jul 2017

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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