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Lower semi-continuity (\texttt{LSC}) is a critical assumption in many foundational optimisation theory results; however, in many cases, \texttt{LSC} is stronger than necessary. This has led to the introduction of numerous weaker continuity…

Optimization and Control · Mathematics 2025-04-11 Jacob Westerhout , Xin Guo , Hien Duy Nguyen

In this paper, we examine both stability and sustainability of a network-based model of natural resource consumption. Stability is studied from a dynamical systems perspective, though we argue that sustainability is a fundamentally…

Optimization and Control · Mathematics 2019-01-11 Matthew T. Hale , Sebastian F. Ruf , Talha Manzoor , Abubakr Muhammad

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

Populations and Evolution · Quantitative Biology 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

Sustainable Development Goals are intrinsically competing, but their embedding into urban systems furthermore emphasises such compromises, due to spatial complexity, the non-optimal nature of such systems, and multi-objective aspects of…

Physics and Society · Physics 2021-12-01 Juste Raimbault , Denise Pumain

Many chemical processes exhibit diverse timescale dynamics with a strong coupling between timescale sensitive variables. Model predictive control with a non-uniformly spaced optimisation horizon is an effective approach to multi-timescale…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Ryan McCloy , Lai Wei , Jie Bao

Desirable system performance in the face of threats and disruptions has been characterized by various management concepts. Through semi-structured interviews with editors of journals in the fields of emergency response and systems…

Physics and Society · Physics 2020-08-25 Stephanie Galaitsi , Benjamin D. Trump , Jeffrey M. Keisler , Igor Linkov

Economic complexity has been linked to sustainability outcomes, such as income inequality and greenhouse gas emissions. Yet, it is unclear whether the pursuit of complex and/or related activities naturally aligns with these outcomes, or…

General Economics · Economics 2025-09-24 Quinten De Wettinck , Karolien De Bruyne , Wouter Bam , César A. Hidalgo

We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws. The particular…

Analysis of PDEs · Mathematics 2014-03-27 Mauro Garavello , Rinaldo M. Colombo

We introduce a model of infinite horizon linear dynamic optimization with linear constraints and obtain results concerning feasibility of trajectories and optimal solutions necessarily satisfying conditions that resemble the Euler condition…

Optimization and Control · Mathematics 2025-04-02 Somdeb Lahiri

Models necessarily capture only parts of a reality. Prediction models aim at capturing a future reality. In this paper we address the question of how the future is constructed (or: imagined) in an investment context where market…

General Finance · Quantitative Finance 2019-12-24 Matthias J. Feiler , Thibaut Ajdler

In many scenarios, it is natural to model a plant's dynamical behavior using a hybrid dynamical system influenced by exogenous continuous-time inputs. While solution concepts and analytical tools for existence and completeness are well…

Systems and Control · Electrical Eng. & Systems 2026-01-19 W. P. M. H. Heemels , R. Postoyan , P. Bernard , K. J. A. Scheres , R. G. Sanfelice

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

A typical bottleneck of model predictive control algorithms is the computational burden in order to compute the receding horizon feedback law which is predominantly determined by the length of the prediction horizon. Based on a relaxed…

Optimization and Control · Mathematics 2014-01-16 Jürgen Pannek , Karl Worthmann

Forest management relies on the evaluation of silviculture practices. The increase in natural risk due to climate change makes it necessary to consider evaluation criteria that take natural risk into account. Risk integration in existing…

Populations and Evolution · Quantitative Biology 2019-09-17 Patrice Loisel , Guillerme Duvillié , Denis Barbeau , Brigitte Charnomordic

The notion of a part of phase space containing desired (or allowed) states of a dynamical system is important in a wide range of complex systems research. It has been called the safe operating space, the viability kernel or the sunny…

Adaptation and Self-Organizing Systems · Physics 2016-07-15 Frank Hellmann , Paul Schultz , Carsten Grabow , Jobst Heitzig , Jürgen Kurths

To achieve ambitious greenhouse gas emission reduction targets in time, the planning of future energy systems needs to accommodate societal preferences, e.g. low levels of acceptance for transmission expansion or onshore wind turbines, and…

Physics and Society · Physics 2025-10-30 Fabian Neumann , Tom Brown

We consider a stochastic linear system and address the design of a finite horizon control policy that is optimal according to some average cost criterion and accounts also for probabilistic constraints on both the input and state variables.…

Optimization and Control · Mathematics 2016-10-21 Luca Deori , Simone Garatti , Maria Prandini

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

Systems and Control · Electrical Eng. & Systems 2022-09-09 Lukas Beckenbach , Stefan Streif

We consider the stability of a porous medium submitted to a steady-state flow with free-boundary. Assuming some hypotheses, it is possible to implement the kinematic method by using an approximate pressure field bounding the true pressure…

Classical Physics · Physics 2007-05-23 Alain Corfdir