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Control systems can show robustness to many events, like disturbances and model inaccuracies. It is natural to speculate that they are also robust to sporadic deadline misses when implemented as digital tasks on an embedded platform. This…

Optimization and Control · Mathematics 2022-08-31 Nils Vreman , Paolo Pazzaglia , Jie Wang , Victor Magron , Martina Maggio

This paper investigates the stability properties of a nonlinear fractional differential equation with two discrete delays and a delay-dependent coefficient. Such equations arise in various biological and control systems where temporal…

Dynamical Systems · Mathematics 2026-03-12 Pragati Dutta , Sachin Bhalekar

We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our approach is based on a feedback control design for dissipative…

Optimization and Control · Mathematics 2026-03-03 V. K. Kalantarov , A. A. Namazov , E. S. Titi

This paper is concerned with the absolute stability analysis of discrete-time feedback systems with slope-restricted nonlinearities. By employing static O'Shea-Zames-Falb multipliers in the framework of integral quadratic constraints, we…

Optimization and Control · Mathematics 2025-03-11 Hibiki Gyotoku , Tsuyoshi Yuno , Yoshio Ebihara , Dimitri Peaucelle , Sophie Tarbouriech , Victor Magron

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

This paper deals with the global stability of time-delayed dynamical networks. We show that for a time-delayed dynamical network with non-distributed delays the network and the corresponding non-delayed network are both either globally…

Dynamical Systems · Mathematics 2015-06-05 Lenonid Bunimovich , Benjamin Webb

This paper addresses the problem of stabilization for infinite-dimensional systems. In particular, we design nonlinear stabilizers for both linear and nonlinear abstract systems. We focus on two classes of systems: the first class comprises…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

Optimization and Control · Mathematics 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

This paper extends our previous study on an explicit saturated control for a quadcopter, which ensures both constraint satisfaction and stability thanks to the linear representation of the system in the flat output space. The novelty here…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Huu-Thinh Do , Franco Blanchini , Ionela Prodan

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

We present a new type of feedback linearization that is tailored for mechanical control systems. We call it a mechanical feedback linearization. Its basic feature is preservation of the mechanical structure of the system. For mechanical…

Optimization and Control · Mathematics 2024-03-22 Marcin Nowicki , Witold Respondek

This paper revisits a classical challenge in the design of stabilizing controllers for nonlinear systems with a norm-bounded input constraint. By extending Lin-Sontag's universal formula and introducing a generic (state-dependent) scaling…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Ming Li , Zhiyong Sun , Siep Weiland

This paper investigates the local asymptotic stabilization of a very general class of instable autonomous nonlinear difference equations which are subject to perturbed dynamics which can have a different order that that of the nominal…

Dynamical Systems · Mathematics 2011-08-02 M. De La Sen

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

Optimization and Control · Mathematics 2022-07-13 Hugo Lhachemi , Christophe Prieur

As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successfully deal with the ubiquitous uncertain…

Optimization and Control · Mathematics 2022-05-10 Cheng Zhao , Lei Guo

The feedback linearization method is further developed for the controller design on general nonlinear systems. Through the Lyapunov stability theory, the intractable nonlinear implicit algebraic control equations are effectively solved, and…

Systems and Control · Computer Science 2018-01-01 Sheng Zhang , Fei Liao , Yanqing Chen , Kaifeng He

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

Systems and Control · Computer Science 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

Linear scalar differential equations with distributed delays appear in the study of the local stability of nonlinear differential equations with feedback, which are common in biology and physics. Negative feedback loops tend to promote…

Dynamical Systems · Mathematics 2014-05-29 Samuel Bernard , Fabien Crauste

We address the global stabilization of linear time-invariant (LTI) systems when the magnitude of the control input and its successive time derivatives, up to an order $p\in\mathbb N$, are bounded by prescribed values. We propose a static…

Systems and Control · Computer Science 2016-04-12 Jonathan Laporte , Antoine Chaillet , Yacine Chitour

This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

Systems and Control · Computer Science 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester