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Stabilizing switched nonlinear systems under restricted switching

Published: 11 April 2018 Publication History

Abstract

This paper deals with input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems under restricted switching. The switching signals obey restrictions on: (i) transitions between subsystems, and (ii) dwell time on subsystems. Given a family of systems, possibly containing non-IOSS dynamics, we present an algorithm to construct a time-dependent switching signal that guarantees IOSS of the resulting switched system under these restrictions. The main apparatus for our analysis are multiple Lyapunov-like functions and graph-theoretic tools.

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  • (2024)On Stability and State-Norm Estimation of Switched Systems Under Restricted SwitchingIEEE Transactions on Automatic Control10.1109/TAC.2024.342714869:12(8938-8945)Online publication date: Dec-2024
  • (2023)Stabilizing Switched Systems Under Restricted Min-Switching Signals2023 Ninth Indian Control Conference (ICC)10.1109/ICC61519.2023.10442611(51-56)Online publication date: 18-Dec-2023
  • (2022)On Stabilizability of Switched Linear Systems Under Restricted SwitchingIEEE Transactions on Automatic Control10.1109/TAC.2021.307164867:4(2060-2067)Online publication date: Apr-2022
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cover image ACM Conferences
HSCC '18: Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)
April 2018
296 pages
ISBN:9781450356428
DOI:10.1145/3178126
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 11 April 2018

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Author Tags

  1. algorithms
  2. directed graphs
  3. input/output-to-state stability
  4. multiple Lyapunov functions
  5. restricted switching
  6. switched systems

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Cited By

View all
  • (2024)On Stability and State-Norm Estimation of Switched Systems Under Restricted SwitchingIEEE Transactions on Automatic Control10.1109/TAC.2024.342714869:12(8938-8945)Online publication date: Dec-2024
  • (2023)Stabilizing Switched Systems Under Restricted Min-Switching Signals2023 Ninth Indian Control Conference (ICC)10.1109/ICC61519.2023.10442611(51-56)Online publication date: 18-Dec-2023
  • (2022)On Stabilizability of Switched Linear Systems Under Restricted SwitchingIEEE Transactions on Automatic Control10.1109/TAC.2021.307164867:4(2060-2067)Online publication date: Apr-2022
  • (2022)On Lyapunov Methods for Nonlinear Discrete-Time Switching Systems With Dwell-Time RangesIEEE Transactions on Automatic Control10.1109/TAC.2021.306966167:3(1574-1581)Online publication date: Mar-2022
  • (2021)A randomized algorithm for the stabilization of switched nonlinear systems under restricted switching2021 European Control Conference (ECC)10.23919/ECC54610.2021.9655134(1162-1167)Online publication date: 29-Jun-2021
  • (2021)Learning restrictions on admissible switching signals for switched systems2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9683457(2468-2473)Online publication date: 14-Dec-2021
  • (2021)Scheduling networked control systems under limited communication capacity2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9683203(6946-6951)Online publication date: 14-Dec-2021
  • (2021)Stabilizing switched systems under a class of restricted switching signals2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9682934(3210-3215)Online publication date: 14-Dec-2021
  • (2020)Stabilizing Scheduling Policies for Networked Control SystemsIEEE Transactions on Control of Network Systems10.1109/TCNS.2019.29135667:1(163-175)Online publication date: Mar-2020
  • (2020)A new condition for stability of switched linear systems under restricted minimum dwell time switchingSystems & Control Letters10.1016/j.sysconle.2019.104597135(104597)Online publication date: Jan-2020
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