ℓ1-to-ℓ1 interval observation design for discrete-time switched linear systems under dwell time constraint

DOI10.1080/00207721.2020.1740822zbMath1483.93367OpenAlexW3012027109MaRDI QIDQ5026673

Yang Li, Xiaozeng Xu, Can Liu, Hong Bin Zhang

Publication date: 8 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2020.1740822

zbMATH Keywords

optimisationdwell time\(\ell_1\)-to-\(\ell_1\) interval observationdiscrete-time switched linear systems (DSLSs)discrete-time switched positive linear systems (DSPLSs)

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Positive control/observation systems (93C28)

Related Items (2)

State estimation for discrete-time switched positive T-S fuzzy systems under dwell time constraint ⋮ Output-based optimal \(L_1\)-gain control of weighted edge-dependent switching positive systems by a new copositive Lyapunov function

Uses Software

• YALMIP
• Robotics

Cites Work

• Interval peak-to-peak observers for continuous- and discrete-time systems with persistent inputs and delays
• Stability of switched positive linear systems with average dwell time switching
• Interval observers for continuous-time LPV systems with \(L_1/L_2\) performance
• Interval observer design for consistency checks of nonlinear continuous-time systems
• Robust interval observer for switched systems with unknown inputs: application to vehicle dynamics estimation
• Interval estimation for continuous-time switched linear systems
• Interval observer design for uncertain discrete-time linear systems
• \(H_\infty\) bumpless transfer reliable control of Markovian switching LPV systems subject to actuator failures
• Dwell time stability and stabilization of interval discrete-time switched positive linear systems
• \(L_1 \times \ell_1\)-to-\(L_1 \times \ell_1\) analysis of linear positive impulsive systems with application to the \(L_1 \times \ell_1\)-to-\(L_1 \times \ell_1\) interval observation of linear impulsive and switched systems
• Robust interval observers and stabilization design for discrete-time systems with input and output
• Improved stability criteria for switched positive linear systems with average dwell time switching
• Actuator fault estimation observer design for discrete-time linear parameter-varying descriptor systems
• Observer-based stabilization of linear switching systems
• A New Approach to Design Interval Observers for Linear Systems
• Hybrid Control for Switched Linear Systems With Average Dwell Time
• Stability analysis of switched systems under dynamical dwell time control approach
• Optimal interval observers for discrete-time linear switched systems
• Conflict resolution for air traffic management: a study in multiagent hybrid systems
• A Separation Principle for Linear Switching Systems and Parametrization of All Stabilizing Controllers
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Asynchronous Finite-Time Filtering of Networked Switched Systems and its Application: an Event-Driven Method
• Stability Analysis of Positive Switched Linear Systems With Delays
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time
• Hybrid dynamical systems

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