Sample-Based Nonlinear Detectability for Discrete-Time Systems

被引：0

作者：

Krauss, Isabelle ^{[1
]}

Lopez, Victor G. ^{[1
]}

Mueller, Matthias A. ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Automat Control, D-30161 Hannover, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2025年 / 70卷 / 04期

基金：

欧洲研究理事会;

关键词：

Biomedical measurement; State estimation; Observability; Discrete-time systems; Sufficient conditions; Stability criteria; Pathology; Europe; Vectors; Trajectory; Detectability; incremental system properties; irregular sampling; nonlinear systems; observability; state estimation; STABILITY; COMMUNICATION;

D O I：

10.1109/TAC.2024.3485486

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article introduces two sample-based formulations of incremental input/output-to-state stability (i-IOSS), a suitable detectability notion for general nonlinear systems. In this work, we consider the case of limited output information, i.e., measurements are only infrequently and/or irregularly available. The output-dependent term of the sample-based i-IOSS bound is properly modified to yield a characterization for detectability in the presence of incomplete output sequences. We provide both a nontime-discounted and a time-discounted formulation of sample-based i-IOSS. Furthermore, conditions for an i-IOSS system to be also sample-based i-IOSS are given and the relation between the two formulations of sample-based i-IOSS is shown.

引用

页码：2422 / 2434

页数：13

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