Memory-Based Lyapunov Functions and Path-complete Framework: Equivalence and Properties

被引：1

作者：

Della Rossa, Matteo ^{[1
]}

Jungers, Raphael M. ^{[1
]}

机构：

[1] UCLouvain, ICTEAM, Louvain La Neuve, Belgium

来源：

2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC) | 2022年

基金：

欧洲研究理事会;

关键词：

D O I：

10.1109/ICSC57768.2022.9993958

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, in the framework of stability analysis of switched systems, we review and analyze multiple Lyapunov functions structures. We formalize and study a class of Lyapunov functions that do not only depend on the state, but also on the past switching sequence, the "memory", in a general language-theory setting. We recall and extend an equivalence result between these stability criteria and a class of combinatorial Lyapunov techniques, also known as path-complete Lyapunov functions. We provide the dual results based on the knowledge/prediction of the future values of the switching signals and we illustrate our techniques via numerical examples.

引用

页码：12 / 17

页数：6

共 50 条

[31] Personality- and Memory-Based Software Framework for Human-Robot Interaction [J].

Nardelli, Alice ;

Sgorbissa, Antonio ;

Recchiuto, Carmine Tommaso .

2024 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA 2024), 2024, :17388-17394

[32] DYNAMIC PROPERTIES OF ASSOCIATIVE MEMORY-BASED ON 1-D MAP [J].

NADALA, IM ;

SINITSKY, LA .

RADIOTEKHNIKA I ELEKTRONIKA, 1995, 40 (07) :1106-1112

[33] Approximate memory-based logic synthesis of index generation functions using linear decomposition [J].

Mazurkiewicz, Tomasz .

2022 IEEE 52ND INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2022), 2022, :145-150

[34] Memory-Based Approximation of the Gaussian Mixture Model Framework for Bandwidth Extension of Narrowband Speech [J].

Nour-Elain, Amr H. ;

Kabal, Peter .

12TH ANNUAL CONFERENCE OF THE INTERNATIONAL SPEECH COMMUNICATION ASSOCIATION 2011 (INTERSPEECH 2011), VOLS 1-5, 2011, :1192-1195

[35] A Long Short-Term Memory-based correlated traffic data prediction framework [J].

Afrin, Tanzina ;

Yodo, Nita .

KNOWLEDGE-BASED SYSTEMS, 2022, 237

[36] Learned persistence occurs after incomplete, but not complete, acquisition of a memory-based discrimination in preweanling rats [J].

Lilliquist, MW ;

Amsel, A .

DEVELOPMENTAL PSYCHOBIOLOGY, 1996, 29 (03) :53-53

[37] Hy-MOM: Hybrid Recommender System Framework Using Memory-Based and Model-Based Collaborative Filtering Framework [J].

George, Gina ;

Lal, Anisha M. .

CYBERNETICS AND INFORMATION TECHNOLOGIES, 2022, 22 (01) :134-150

[38] Memory-based event-triggered path-following control for a USV in the presence of DoS attack [J].

Jiang, Changyan ;

Zhang, Guoqing ;

Huang, Chenfeng ;

Zhang, Wenjun .

OCEAN ENGINEERING, 2024, 310

[39] A memory-based complete local search method with variable neighborhood structures for no-wait job shops [J].

Li, Xiaoping ;

Xu, Haiyan ;

Li, Minmin .

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2016, 87 (5-8) :1401-1408

[40] A memory-based complete local search method with variable neighborhood structures for no-wait job shops [J].

Xiaoping Li ;

Haiyan Xu ;

Minmin Li .

The International Journal of Advanced Manufacturing Technology, 2016, 87 :1401-1408

← 1 2 3 4 5 →