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Self-similarity is the property of a system being similar to a part of itself. We posit that a special class of behaviourally self-similar systems exhibits a degree of resilience to adversarial behaviour. We formalise the notions of system,…

编程语言 · 计算机科学 2016-08-11 Sanjiva Prasad , Lenore D. Zuck

Representations are internal models of the environment that can provide guidance to a behaving agent, even in the absence of sensory information. It is not clear how representations are developed and whether or not they are necessary or…

神经元与认知 · 定量生物学 2013-08-07 Lars Marstaller , Arend Hintze , Christoph Adami

The development of the works of the author about adaptive algorithms of teaching the robotic systems with the help of operator is described here. An operator is assumed to be an experience decision-maker and sane carrier of a target which…

机器人学 · 计算机科学 2015-09-08 Valery Vilisov

Power grid, communications, computer and product reticulation networks are frequently layered or subdivided by design. The layering divides responsibilities and can be driven by operational, commercial, regulatory and privacy concerns. From…

最优化与控制 · 数学 2023-09-04 Robert R. Bitmead

Compositionality supports the manipulation of large systems by working on their components. For model-based testing, this means that large systems can be tested by modelling and testing their components: passing tests for all components…

软件工程 · 计算机科学 2025-08-01 Gijs van Cuyck , Lars van Arragon , Jan Tretmans

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

最优化与控制 · 数学 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

Modern systems are designed to operate in increasingly variable and uncertain environments. Not only are these environments complex, in the sense that they contain a tremendous number of variables, but they also change over time. Systems…

软件工程 · 计算机科学 2022-10-04 Simon Diemert , Jens H. Weber

Recently it has been demonstrated that causal entropic forces can lead to the emergence of complex phenomena associated with human cognitive niche such as tool use and social cooperation. Here I show that even more fundamental traits…

信息论 · 计算机科学 2016-04-20 Fouad Khan

For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global observability. Critically, this class of systems cannot be…

动力系统 · 数学 2022-10-11 Eduardo D. Sontag , Debojyoti Biswas , Noah J. Cowan

Smart grid technological advances present a recent class of complex interdisciplinary modeling and increasingly difficult simulation problems to solve using traditional computational methods. To simulate a smart grid requires a systemic…

分布式、并行与集群计算 · 计算机科学 2025-11-26 Sofiane Ben Amor , Guillaume Guerard , Loup-Noé Levy

A model of pattern formation in living systems is presented. The pattern is achieved by the sequential interaction of two signaling pathways. The coupling of the pattern to the (thick) epithelial sheet changes is given, when the Gauss…

组织与器官 · 定量生物学 2009-05-11 Frederick W. Cummings

The purpose of this article is to develop a new approach to the robust regulation problem for plants which do not necessarily admit coprime factorizations. The approach is purely algebraic and allows us dealing with a very general class of…

最优化与控制 · 数学 2020-05-25 Petteri Laakkonen , Alban Quadrat

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

物理与社会 · 物理学 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

We consider an unsupervised classifying agent that evolves by enforcing self-consistency of its labels under continual exposure to a data-generating environment. Because the agent's predictions feed back into its own regularized updates,…

无序系统与神经网络 · 物理学 2025-09-30 Sebastiano Ariosto , Jerome Garnier-Brun , Luca Saglietti , Davide Straziota

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

最优化与控制 · 数学 2019-09-18 Saman Cyrus , Laurent Lessard

It is shown that under certain conditions it is possible to model a complex system in a way that leads to results that do not depend on system size. As an example of complex system an innovation diffusion model is considered. In that model…

物理与社会 · 物理学 2017-07-28 Carlos E. Laciana , Gustavo Pereyra , Santiago L. Rovere

It has long been hypothesised that causal reasoning plays a fundamental role in robust and general intelligence. However, it is not known if agents must learn causal models in order to generalise to new domains, or if other inductive biases…

人工智能 · 计算机科学 2024-07-22 Jonathan Richens , Tom Everitt

Learning stabilizing controllers from data is an important task in engineering applications; however, collecting informative data is challenging because unstable systems often lead to rapidly growing or erratic trajectories. In this work,…

最优化与控制 · 数学 2026-02-11 Steffen W. R. Werner , Benjamin Peherstorfer

A system is invariant with respect to an input transformation if we can transform any dynamic input by this function and obtain the same output dynamics after adjusting the initial conditions appropriately. Often, the set of all such input…

动力系统 · 数学 2021-03-02 Moritz Lang

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems.…

系统与控制 · 电气工程与系统科学 2024-04-04 Atreyee Kundu