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A modification to the ${\cal L}_1$ control framework for uncertain systems with actuator delay is presented. Specifically, a time delay is introduced in the control input of the state predictor to compensate for the destabilizing effect of…

最优化与控制 · 数学 2022-09-27 Kim-Doang Nguyen , Harry Dankowicz

In this article we consider a class of state-dependent delay differential equations which is modelling the dynamics of the number of adult trees in forests. We prove the boundedness of solutions for a single species model as well as a…

偏微分方程分析 · 数学 2017-05-25 Pierre Magal , Zhengyang Zhang

This paper is motivated by a class of positive systems with an input that is subject to an unknown state-dependent power law delay as well as saturation. For example, biological networks have non-negative protein concentration states. Mass…

最优化与控制 · 数学 2022-12-26 Damon E. Ghetmiri , Amor A. Menezes

We provide a class of methods for the identification of a linear system with delay of the shape $x^{(n)}(t) = \sum_{i=0}^{n-1}a_{i}x^{(i)}(t) + bu(t-h)$. They allow the simultaneous identification of the parameters and delay, the…

最优化与控制 · 数学 2016-08-14 François Ollivier , Saïd Moutaouakil , Brahim Sadik

The key challenges in design of predictor-based control laws for switched systems with arbitrary switching and long input delay are the potential unavailability of the future values of the switching signal (at current time) and the fact…

系统与控制 · 电气工程与系统科学 2025-03-20 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with…

最优化与控制 · 数学 2017-03-02 Corentin Briat

Monotone systems comprise an important class of dynamical systems that are of interest both for their wide applicability and because of their interesting mathematical properties. It is known that under the property of quasimonotonicity…

动力系统 · 数学 2015-05-20 Eoin Devane , Ioannis Lestas

We provide two solutions to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. Both of our solutions are global, employ the…

最优化与控制 · 数学 2011-08-24 Iasson Karafyllis , Miroslav Krstic

We characterize the well-posedness of a class of infinite-dimensional port-Hamiltonian systems with boundary control and observation. This class includes in particular the Euler-Bernoulli beam equations and more generally 1D linear…

偏微分方程分析 · 数学 2025-07-11 Bouchra Elghazi , Birgit Jacob , Hans Zwart

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

动力系统 · 数学 2025-05-01 Bin Zhou , Kai Zhang

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

系统与控制 · 电气工程与系统科学 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

We study a class of non-autonomous boundary control and observation linear systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by different fundamental partial differential equations, such as…

泛函分析 · 数学 2019-02-01 Birgit Jacob , Hafida Laasri

We consider the modeling, stability analysis and controller design problems for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop…

最优化与控制 · 数学 2014-01-09 R. M. Jungers , A. D'Innocenzo , M. D. Di Benedetto

In this paper, we study the well-posedness and approximate controllability of a class of network systems having delays and controls at the boundary conditions. The particularity of this work is that the network system is defined on infinite…

最优化与控制 · 数学 2022-08-24 Y. El Gantouh , S. Hadd , A. Rhandi

In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble…

偏微分方程分析 · 数学 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop…

偏微分方程分析 · 数学 2010-10-19 E. M. Ait Benhassi , K. Ammari , S. Boulite , L. Maniar

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

Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero.…

最优化与控制 · 数学 2016-01-05 Anton Ponomarev

We develop a predictor-feedback control design for a class of linear systems with state-dependent switching. The main ingredient of our design is a novel construction of an exact predictor state. Such a construction is possible as for a…

系统与控制 · 电气工程与系统科学 2026-03-23 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis , Delphine Bresch-Pietri

We derive conditions for well-posedness of semilinear evolution equations with unbounded input operators. Based on this, we provide sufficient conditions for such properties of the flow map as Lipschitz continuity,…

最优化与控制 · 数学 2023-11-13 Andrii Mironchenko