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This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

Complex systems are ubiquitous in the real world and tend to have complicated and poorly understood dynamics. For their control issues, the challenge is to guarantee accuracy, robustness, and generalization in such bloated and troubled…

Artificial Intelligence · Computer Science 2022-09-16 Xuehui Yu , Jingchi Jiang , Xinmiao Yu , Yi Guan , Xue Li

The observational ubiquity of inverse power law spectra (IPL) in complex phenomena entails theory for dynamic fractal phenomena capturing their fractal dimension, dynamics, and statistics. These and other properties are consequences of the…

Adaptation and Self-Organizing Systems · Physics 2022-11-01 Korosh Mahmoodi , Scott E. Kerick , Paolo Grigolini , Piotr J. Franaszczuk , Bruce J. West

We introduce circulance, a scalar measure for classifying time series of dynamical systems. Circulance captures the extent of temporal regularity or irregularity that is encoded in the topology of a directed ordinal pattern transition…

Chaotic Dynamics · Physics 2026-01-05 Max Potratzki , Manuel Adams , Timo Bröhl , Klaus Lehnertz

In this work, we use a simple multi-agent-based model (MABM), implementing selfish algorithm (SA) agents, to create an adaptive environment and show, using modified diffusion entropy analysis (MDEA), that the mutual-adaptive interaction…

Adaptation and Self-Organizing Systems · Physics 2023-11-21 Korosh Mahmoodi1 , Scott E. Kerick , Piotr J. Franaszczuk1 , Thomas D. Parsons , Paolo Grigolini , Bruce J. West

Complexity measures in the context of the Integrated Information Theory of consciousness try to quantify the strength of the causal connections between different neurons. This is done by minimizing the KL-divergence between a full system…

Methodology · Statistics 2021-02-09 Carlotta Langer , Nihat Ay

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

Systems and Control · Computer Science 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

Dynamical compensation (DC) provides robustness to parameter fluctuations. As an example, DC enable control of the functional mass of endocrine or neuronal tissue essential for controlling blood glucose by insulin through a nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Akram Ashyani , Yu-Heng Wu , Huan-Wei Hsu , Torbjörn E. M. Nordling

We present a general approach for controlling robotic systems that make and break contact with their environments. Contact-implicit model predictive control (CI-MPC) generalizes linear MPC to contact-rich settings by utilizing a bi-level…

The control of complex systems is an ongoing challenge of complexity research. Recent advances using concepts of structural control deduce a wide range of control related properties from the network representation of complex systems. Here,…

Statistical Mechanics · Physics 2013-12-31 Márton Pósfai , Philipp Hövel

We present Intermittent Control (IC) models as a candidate framework for modelling human input movements in Human--Computer Interaction (HCI). IC differs from continuous control in that users are not assumed to use feedback to adjust their…

Human-Computer Interaction · Computer Science 2021-03-16 J. Alberto Álvarez Martín , Henrik Gollee , Jörg Müller , Roderick Murray-Smith

Distinguishing cause from effect is a scientific challenge resisting solutions from mathematics, statistics, information theory and computer science. Compression-Complexity Causality (CCC) is a recently proposed interventional measure of…

Data Analysis, Statistics and Probability · Physics 2022-04-26 Aditi Kathpalia , Pouya Manshour , Milan Paluš

A centralized model predictive controller (MPC), which is unaware of local uncertainties, for an affine discrete time nonlinear system is presented. The local uncertainties are assumed to be matched, bounded and structured. In order to…

Optimization and Control · Mathematics 2020-09-15 Prabhat K. Mishra , Tixian Wang , Mattia Gazzola , Girish Chowdhary

Complex systems and relational data are often abstracted as dynamical processes on networks. To understand, predict and control their behavior, a crucial step is to extract reduced descriptions of such networks. Inspired by notions from…

Social and Information Networks · Computer Science 2019-06-26 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

Systems and Control · Computer Science 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Complexity matching characterizes the role of information in interactions between systems and can be traced back to the 1957 Introduction to Cybernetics by Ross Ashby. We argue that complexity can be expressed in terms of crucial events,…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Korosh Mahmoodi , Bruce J. West , Paolo Grigolini

Human beings and other vertebrates show remarkable performance and efficiency in locomotion, but the functioning of their biological control systems for locomotion is still only partially understood. The basic patterns and timing for…

Neurons and Cognition · Quantitative Biology 2020-07-14 T. P. Jensen , S. Tata , A. J. Ijspeert , S. Tolu

The coupling complexity index is an information measure introduced within the framework of ordinal symbolic dynamics. This index is used to characterize the complexity of the relationship between dynamical system components. In this work,…

Chaotic Dynamics · Physics 2015-06-15 Roberto Monetti , José María Amigó , Thomas Aschenbrenner , Wolfram Bunk

In temporal planning, many different temporal network formalisms are used to model real world situations. Each of these formalisms has different features which affect how easy it is to determine whether the underlying network of temporal…

Artificial Intelligence · Computer Science 2019-01-09 Nikhil Bhargava , Brian Williams
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