On ISS with Respect to Average Value of Disturbances: A Time-Delay Approach

Denis Efimov, Emilia Fridman

Research output: Contribution to journalArticlepeer-review

Abstract

For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: A kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.

Original languageEnglish
Pages (from-to)3434-3440
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume69
Issue number5
DOIs
StatePublished - 1 May 2024

Keywords

  • Control systems
  • delay systems
  • stability analysis

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

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