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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…

系统与控制 · 计算机科学 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

We consider a stochastic control problem for a class of nonlinear kernels. More precisely, our problem of interest consists in the optimisation, over a set of possibly non-dominated probability measures, of solutions of backward stochastic…

概率论 · 数学 2017-07-28 Dylan Possamaï , Xiaolu Tan , Chao Zhou

Controlling complex reaction networks is a fundamental challenge in the fields of physics, biology, and systems engineering. Here, we prove a general principle for catalytic reaction systems with kinetics where the reaction order and the…

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

Algorithms and dynamics over networks often involve randomization, and randomization may result in oscillating dynamics which fail to converge in a deterministic sense. In this paper, we observe this undesired feature in three applications,…

系统与控制 · 计算机科学 2013-12-17 Chiara Ravazzi , Paolo Frasca , Roberto Tempo , Hideaki Ishii

The stochastic processes underlying the growth and stability of biological and psychological systems reveal themselves when far from equilibrium. Far from equilibrium, nonergodicity reigns. Nonergodicity implies that the average outcome for…

统计方法学 · 统计学 2022-02-03 Madhur Mangalam , Damian G. Kelty-Stephen

This paper presents two stochastic model predictive control methods for linear time-invariant systems subject to unbounded additive uncertainties. The new methods are developed by formulating the chance constraints into deterministic form,…

系统与控制 · 电气工程与系统科学 2021-04-22 Fei Li , Huiping Li , Yuyao He

Given a stochastic nonlinear system controlled over a possibly noisy communication channel, the paper studies the largest class of channels for which there exist coding and control policies so that the closed-loop system is stochastically…

最优化与控制 · 数学 2020-05-05 Christoph Kawan , Serdar Yüksel

The behavior of some stochastic chemical reaction networks is largely unaffected by slight inaccuracies in reaction rates. We formalize the robustness of state probabilities to reaction rate deviations, and describe a formal connection…

计算复杂性 · 计算机科学 2009-01-28 David Soloveichik

The field of optimal control typically requires the assumption of perfect knowledge of the system one desires to control, which is an unrealistic assumption for biological systems, or networks, typically affected by high levels of…

最优化与控制 · 数学 2021-04-28 Isaac Klickstein , Francesco Sorrentino

This paper aims at the study of controllability properties and induced controllability metrics on complex networks governed by a class of (discrete time) linear decision processes with mul-tiplicative noise. The dynamics are given by a…

最优化与控制 · 数学 2016-12-15 Tidiane Diallo , Dan Goreac

This paper considers a problem of output agreement in heterogeneous networks with dynamics on the nodes as well as on the edges. The control and disturbance signals entering the nodal dynamics are "unmatched" meaning that some nodes are…

系统与控制 · 计算机科学 2015-05-26 Nima Monshizadeh , Claudio De Persis

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

无序系统与神经网络 · 物理学 2015-12-07 Adilson E. Motter

Discrete-time stochastic systems are an essential modelling tool for many engineering systems. We consider stochastic control systems that are evolving over continuous spaces. For this class of models, methods for the formal verification…

系统与控制 · 计算机科学 2018-11-29 Sofie Haesaert , Sadegh Soudjani

A sensitivity analysis of general stoichiometric networks is considered. The results are presented as a generalization of Metabolic Control Analysis, which has been concerned primarily with system sensitivities at steady state. An…

生物物理 · 物理学 2007-05-23 Brian P. Ingalls , Herbert M. Sauro

An optimal ergodic control problem (EC problem, for short) is investigated for a linear stochastic differential equation with quadratic cost functional. Constant nonhomogeneous terms, not all zero, appear in the state equation, which lead…

最优化与控制 · 数学 2020-04-24 Hongwei Mei , Qingmeng Wei , Jiongmin Yong

This work addresses the exact characterization of the covariance dynamics related to linear discrete-time systems subject to both additive and parametric stochastic uncertainties that are potentially unbounded. Using this characterization,…

系统与控制 · 电气工程与系统科学 2026-01-22 Kaouther Moussa , Mirko Fiacchini

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

最优化与控制 · 数学 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

系统与控制 · 电气工程与系统科学 2024-01-17 Kaijian Hu , Tao Liu

This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

动力系统 · 数学 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine