ISS-lyapunov functions for discontinuous discrete-time systems

Title: ISS-lyapunov functions for discontinuous discrete-time systems
Creator: Grune, Lars; Kellett, Christopher M.
Relation: IEEE Transactions on Automatic Control Vol. 59, Issue 11, p. 3098-3103
Publisher Link: http://dx.doi.org/10.1109/TAC.2014.2321667
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2014
Description: Input-to-State Stability (ISS) and the ISS-Lyapunov function are useful tools for the analysis and design of nonlinear systems. Motivated by the fact that many feedback control laws, such as model predictive or event-based control, lead to discontinuous discrete-time dynamics, we investigate ISS-Lyapunov functions for such systems. ISS-Lyapunov functions were originally introduced in a so-called implication-form and, in many cases, this has been shown to be equivalent to an ISS-Lyapunov function of dissipative-form. However, for discontinuous dynamics, we demonstrate via an example that this equivalence no longer holds. We therefore propose a stronger implication-form ISS-Lyapunov function and provide a complete characterization of ISS-Lyapunov functions for discrete-time systems with discontinuous dynamics.
Subject: discrete-time systems; input-to-state stability (ISS); Lyapunov methods
Identifier: http://hdl.handle.net/1959.13/1298220
Identifier: uon:19612
Identifier: ISSN:0018-9286
Language: eng
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