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Learning-based Robust Motion Planning with Guaranteed Stability: A Contraction Theory Approach [PDF]

open access: greenIEEE Robotics and Automation Letters, 2021
This paper presents Learning-based Autonomous Guidance with RObustness and Stability guarantees (LAG-ROS), which provides machine learning-based nonlinear motion planners with formal robustness and stability guarantees, by designing a differential Lyapunov function using contraction theory.
Hiroyasu Tsukamoto, Soon‐Jo Chung
arxiv   +10 more sources

On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning [PDF]

open access: goldAxioms, 2022
We show how to apply the well-known fixed-point approach in the study of the existence, uniqueness, and stability of solutions to some particular types of functional equations. Moreover, we also obtain the Ulam stability result for them.
Ali Turab, Janusz Brzdęk, Wajahat Ali
doaj   +3 more sources

Contraction Theory for Nonlinear Stability Analysis and Learning-based Control: A Tutorial Overview [PDF]

open access: bronzeAnnual Reviews in Control; Volume 52; 2021; Pages 135-169; ISSN 1367-5788, 2021
Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under a contraction metric defined with a uniformly positive definite matrix, the existence of which results in a necessary and sufficient characterization of incremental exponential stability of multiple solution ...
Hiroyasu Tsukamoto   +2 more
arxiv   +9 more sources

Evaluation of Goaf Stability Based on Transfer Learning Theory of Artificial Intelligence [PDF]

open access: goldIEEE Access, 2019
Current artificial intelligence models for evaluating goaf stability in underground metal mines need a large amount of sample data for training, and their accuracy declines with small sample size. With the aim of solving this problem, this paper proposes
Yaguang Qin   +4 more
doaj   +4 more sources

A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results

open access: goldInternational Journal of Analysis and Applications, 2023
The psychological learning theory (PLT) in the formation of moral verdict is represented by the choice-practice paradigm. It involves weighing the effects of various options and choosing one to put into practice.
Doha A. Kattan, Hasanen A. Hammad
doaj   +4 more sources

The effects of spatial stability and cue type on spatial learning: Implications for theories of parallel memory systems [PDF]

open access: greenCognition, 2021
Some theories of spatial learning predict that associative rules apply under only limited circumstances. For example, learning based on a boundary has been claimed to be immune to cue competition effects because boundary information is the basis for the formation of a cognitive map, whilst landmark learning does not involve cognitive mapping.
Matt Buckley   +6 more
  +10 more sources

Existence, Uniqueness, and Stability Analysis of the Probabilistic Functional Equation Emerging in Mathematical Biology and the Theory of Learning [PDF]

open access: goldSymmetry, 2021
Probabilistic functional equations have been used to analyze various models in computational biology and learning theory. It is worth noting that they are linked to the symmetry of a system of functional equations’ transformation. Our objective is to propose a generic probabilistic functional equation that can cover most of the mathematical models ...
Ali Turab, Won-Gil Park, Wajahat Ali
openalex   +4 more sources

Aligning Theories with Conflict Management in Higher Institutions of Learning: Averting Looming Crises to Ensure Success and Stability

open access: goldInternational Journal of Higher Education, 2022
Higher institutions of learning (HIL) occasionally face conflict situations. These range from minor confrontations and demonstrations to violent strikes. The aim of this study was to align theories with conflict management in HIL to avert looming crises that might affect the core businesses of HIL. Given that conflicts are miscellaneous and disputable,
Yusuf Lukman   +2 more
openalex   +3 more sources

Iterative Learning Control Design for Stability and Transient Performance Using Differential Linear Repetitive Process Stability Theory

open access: bronzeIFAC Proceedings Volumes, 2013
Abstract Iterative learning control has been developed for systems that repeat the same task over a finite duration with resetting to the starting location once each repetition, or trial, is complete. The novel feature is the use of information generated on the previous trial to compute the control input for the next one and the basic problem is to ...
Wojciech Paszke   +2 more
openalex   +3 more sources

A combined machine learning and density functional theory study of binary Ti-Nb and Ti-Zr alloys: Stability and Young’s modulus

open access: bronzeComputational Materials Science, 2020
Abstract The multicomponent Ti alloys, specifically the β -phase, have experienced a strong growth over the last decades, due to their outstanding properties of ultra-high strength and low Young’s modulus. These properties play a significant role in many aerospace and biomedical applications.
Sangqi Xiong   +7 more
openalex   +4 more sources

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