Preservation of input-to-state stability under sampling and emulation: multi-rate case

DOI10.1080/00207170701487755zbMath1194.93135OpenAlexW2057529427MaRDI QIDQ3542940

Horacio J. Marquez, Xi Liu

Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701487755

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Sampled-data control/observation systems (93C57)

Related Items (4)

Stability of discrete-time stochastic nonlinear systems with event-triggered state-feedback control ⋮ Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model ⋮ Input-to-state stability of stochastic nonlinear fuzzy Cohen–Grossberg neural networks with the event-triggered control ⋮ Sampled‐data control of networked nonlinear systems with variable delays and drops

Cites Work

• On characterizations of the input-to-state stability property
• Comments on integral variants of ISS
• Analysis of dual-rate inferential control systems
• A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation
• Multirate versions of sampled-data stabilization of nonlinear systems
• Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems
• General fast sampling theorems for nonlinear systems
• Open- and closed-loop dissipation inequalities under sampling and controller emulation
• Stability theory for linear time-invariant plants with periodic digital controllers
• Smooth stabilization implies coprime factorization
• Input-output stability of sampled-data systems
• A note on input-to-state stabilization for nonlinear sampled-data systems
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Fast Sampling and Stability of Nonlinear Sampled-Data Systems: Part 2. Sampling Rate Estimations
• Input-to-state stability for nonlinear time-varying systems via averaging
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations

This page was built for publication: Preservation of input-to-state stability under sampling and emulation: multi-rate case