Time-Discounted Incremental Input/Output-to-State Stability

2020/04/30 by Sven Knuefer, Knuefer, Sven, Matthias A. Mueller +1 · 6 citations
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2004.14836

openalex publication_date 2020/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations are related to existing i-IOSS notions which result as special cases. Previous results that provide a sufficient Lyapunov-function condition for i-IOSS and that prove i-IOSS to be necessary for the existence of robustly stable full-order state observers are generalized to the presented time-discounted i-IOSS definition for general nonlinear systems. For linear systems, explicit i-IOSS bounds are presented.

Citations

• Robust Stability of Optimization-based State Estimation

Cited by

• Data-based Moving Horizon Estimation under Irregularly Measured Data
• Strong nonlinear detectability and moving horizon estimation for nonlinear systems with unknown inputs
• MHE in Output Feedback Control of Uncertain Nonlinear Systems via IQCs
• Sample-based Moving Horizon Estimation
• Robust stability of event-triggered nonlinear moving horizon estimation
• Sufficient Conditions for Detectability of Approximately Discretized Nonlinear Systems

Related

• Input-Output-to-State Stability
• Sample-based nonlinear detectability for discrete-time systems
• Integral-Input-Output to State Stability
• Notions of Input to Output Stability
• Input-Power-to-State Stability of Time-Varying Systems