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We consider the problem of formally verifying almost-sure (a.s.) asymptotic stability in discrete-time nonlinear stochastic control systems. While verifying stability in deterministic control systems is extensively studied in the…

机器学习 · 计算机科学 2021-12-20 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger

This letter is devoted to the concept of ``instant'' model predictive control (iMPC) for linear systems. An optimization problem is formulated to express the finite-time constrained optimal regulation control, like conventional MPC. Then,…

系统与控制 · 计算机科学 2020-03-11 Keisuke Yoshida , Masaki Inoue , Takeshi Hatanaka

A two-dimensional system of differential equations with delay modelling the glucose-insulin interaction processes in the human body is considered. Sufficient conditions are derived for the unique positive equilibrium in the system to be…

动力系统 · 数学 2020-12-11 M. Angelova , G. Beliakov , A. Ivanov , S. Shelyag

In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the impact of inputs and initial conditions on both the…

最优化与控制 · 数学 2020-03-09 Andrii Mironchenko , Christophe Prieur

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

最优化与控制 · 数学 2010-12-13 Iasson Karafyllis , Miroslav Krstic

Most approaches for self-triggered control (STC) of nonlinear networked control systems (NCS) require measurements of the full system state to determine transmission times. However, for most control systems only a lower dimensional output…

系统与控制 · 电气工程与系统科学 2023-03-24 Michael Hertneck , Frank Allgöwer

We design an model predictive control (MPC) approach for planning and control of non-holonomic mobile robots. Linearizing the system dynamics around the pre-computed reference trajectory gives a time-varying LQ MPC problem. We analytically…

机器人学 · 计算机科学 2022-10-12 Xinjie Liu , Vassil Atanassov

In the paper, for the system which possesses both an attractor and a stable fixed point, we first formulate new stable control problems to find the asymptotically stable control function which realizes to transit a state moving around the…

最优化与控制 · 数学 2020-06-02 Fumihiko Nakamura

We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically…

最优化与控制 · 数学 2022-12-20 Tobias Holicki , Carsten W. Scherer

Networked control systems (NCS) are widely used in safety-critical applications, but they are often analyzed under the assumption of ideal communication channels. This work focuses on the synthesis of safety controllers for discrete-time…

系统与控制 · 电气工程与系统科学 2026-04-28 Yihan Liu , Meiqi Tian , Teng Yan , Bingzhuo Zhong

This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variants of small-gain stability conditions for coupled systems,…

动力系统 · 数学 2023-08-11 Vitalii Slynko , Sergey Dashkovskiy , Ivan Atamas

We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our…

最优化与控制 · 数学 2007-05-23 Michael Malisoff , Frederic Mazenc

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

系统与控制 · 电气工程与系统科学 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

Motivated by fundamental issues in non-equilibrium statistical mechanics (NESM), we study the venerable susceptible-infected (SIS) model of disease spreading in an idealized, simple setting. Using Monte Carlo and analytic techniques, we…

统计力学 · 物理学 2015-06-22 Maxim S. Shkarayev , R. K. P. Zia

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

系统与控制 · 计算机科学 2013-12-24 He Bai , S. Yusef Shafi

This paper studies stochastic aperiodic stabilization of a networked control system (NCS) consisting of a continuous-time plant and a discrete-time controller. The plant and the controller are assumed to be connected by communication…

系统与控制 · 电气工程与系统科学 2022-03-08 Yohei Hosoe

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

最优化与控制 · 数学 2023-02-02 Andrii Mironchenko

The limiting stability of invariant probability measures of time homogeneous transition semigroups for autonomous stochastic systems has been extensively discussed in the literature. In this paper we initially initiate a program to study…

偏微分方程分析 · 数学 2022-03-25 Renhai Wang , Tomas Caraballo , Nguyen Huy Tuan

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

最优化与控制 · 数学 2015-05-25 Shigeru Hanba