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In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

Optimization and Control · Mathematics 2008-02-29 Iasson Karafyllis

This paper deals with the finite-time stabilization of a class of nonlinear infinite-dimensional systems. First, we consider a bounded matched perturbation in its linear form. It is shown that by using a set-valued function, both the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Kamal Fenza , Moussa Labbadi , Mohamed Ouzahra

Stability enforcement remains a challenge in data-driven control paradigms, where no parametrised model of the system is available. For instance, the system's instabilities can be estimated in order to enforce a closed-loop stability…

Systems and Control · Electrical Eng. & Systems 2020-12-14 Basile Bouteau , Pauline Kergus , Pierre Vuillemin

Stability is arguably one of the core concepts upon which our understanding of dynamical and control systems has been built. The related notion of incremental stability, however, has received much less attention until recently, when it was…

Optimization and Control · Mathematics 2010-11-11 Majid Zamani , Paulo Tabuada

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

Optimization and Control · Mathematics 2019-06-05 Elyar Zavary , Mahdi Sojoodi

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

This paper is devoted to the stabilization problem for nonlinear driftless control systems by means of a time-varying feedback control. It is assumed that the vector fields of the system together with their first order Lie brackets span the…

Optimization and Control · Mathematics 2019-04-16 Alexander Zuyev

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

Incremental stability is a property of dynamical systems ensuring the uniform asymptotic stability of each trajectory rather than a fixed equilibrium point or trajectory. Here, we introduce a notion of incremental stability for stochastic…

Systems and Control · Computer Science 2017-05-08 Pushpak Jagtap , Majid Zamani

In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time…

Dynamical Systems · Mathematics 2023-06-01 Xuetao Yang , Quanxin Zhu

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

Analysis of PDEs · Mathematics 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

Quantum Physics · Physics 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

Optimization and Control · Mathematics 2020-12-29 Hugo Lhachemi , Christophe Prieur

Here we deal with the stabilization problem of non-diagonal systems by boundary control. In the studied setting, the boundary control input is subject to a constant delay. We use the spectral decomposition method and split the system into…

Optimization and Control · Mathematics 2021-07-19 Ionut Munteanu

This paper investigates the stability and stabilization of diffusively coupled network dynamical systems. We leverage Lyapunov methods to analyze the role of coupling in stabilizing or destabilizing network systems. We derive critical…

Dynamical Systems · Mathematics 2025-04-02 Moise R. Mouyebe , Anthony M. Bloch

Robust stabilization conditions for uncertain switched affine systems subject to a unitary input delay are presented. They are obtained through the Lyapunov framework and a min-switching state-feedback predictive control law. The result…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gerson Portilla , Carolina Albea , Alexandre Seuret

We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched system. For a given collection of matrices, we find an…

Dynamical Systems · Mathematics 2023-06-21 Swapnil Tripathi , Nikita Agarwal