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Robust output regulation for linear time-varying systems has remained an open problem for decades. To address this, we propose the trajectory-matching system immersion framework, by reformulating the regulator equation into a more…

系统与控制 · 电气工程与系统科学 2026-05-27 Jinmeng Zha , Zhen Zhang

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some…

最优化与控制 · 数学 2007-10-26 D. Bauso , L. Giarré , R. Pesenti

In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay…

最优化与控制 · 数学 2026-04-21 Yaxing Ma , Lijuan Wang , Huaiqiang Yu

We study convergence and stability properties of control-affine systems. Our considerations are motivated by the problem of stabilizing a control-affine system by means of output feedback for states in which the output function attains an…

动力系统 · 数学 2018-06-12 Raik Suttner

This paper is concerned with the output feedback stabilization of a reaction-diffusion equation by means of bounded control inputs in the presence of saturations. Using a finite-dimensional controller composed of an observer coupled with a…

最优化与控制 · 数学 2022-02-02 Hugo Lhachemi , Christophe Prieur

We propose an SDP-based framework to address the stabilization of input delay systems while taking into account dissipative constraints. A key to our approach is the introduction of the concept of parameterized linear dynamical state…

最优化与控制 · 数学 2025-12-02 Qian Feng , Cong Zhang , Bo Wei

We study the stability of a vector field associated to a nearly-integrable Hamiltonian dynamical system to which a dissipation is added. Such a system is governed by two parameters, named the perturbing and dissipative parameters, and it…

动力系统 · 数学 2012-02-14 Alessandra Celletti , Christoph Lhotka

We propose a quantum optical implementation of a class of dissipative spin systems, including the XXZ and Ising model, with ultra-cold atoms in optical lattices. Employing the motional degree of freedom of the atoms and detuned Raman…

量子物理 · 物理学 2013-02-18 Heike Schwager , J. Ignacio Cirac , Géza Giedke

We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a…

最优化与控制 · 数学 2021-05-07 John W. Simpson-Porco

The present paper provides a sufficient condition to ensure output finite-time and fixed-time stability. Comparing with analogous researches the proposed result is less restrictive and obtained for a wider class of systems. The presented…

最优化与控制 · 数学 2021-05-18 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

Discrete-time models of non-uniformly sampled nonlinear systems under zero-order hold relate the next state sample to the current state sample, (constant) input value, and sampling interval. The exact discrete-time model, that is, the…

系统与控制 · 计算机科学 2018-07-30 Alexis J. Vallarella , Hernan Haimovich

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the…

最优化与控制 · 数学 2016-12-02 Alexander Ovseevich , Aleksey Fedorov

There are several results on the stability of nonlinear positive systems in the presence of time delays. However, most of them assume that the delays are constant. This paper considers time-varying, possibly unbounded, delays and…

系统与控制 · 计算机科学 2014-10-01 Hamid Reza Feyzmahdavian , Themistoklis Charalambous , Mikael Johansson

This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the derivative of the control input. This context appears in many industrial…

系统与控制 · 计算机科学 2016-10-20 Mazen Alamir , Jean Dobrowolski , Amgad tarek Mohammed

Dirty derivatives are routinely used in industrial settings, particularly in the implementation of the derivative term in PID control, and are especially appealing due to their noise-attenuation and model-free characteristics. In this…

最优化与控制 · 数学 2022-02-07 Matteo Marchi , Lucas Fraile , Paulo Tabuada

Asymptotic disturbance rejection (equivalently tracking) for nonlinear systems has been studied only in qualitative terms (the state is asymptotically stable under bounded disturbances). We show how to prove quantitative performance…

系统与控制 · 电气工程与系统科学 2025-04-03 Simon Kuang , Xinfan Lin

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

系统与控制 · 电气工程与系统科学 2019-08-13 Amit K. Sanyal

For a general time-varying system, we prove that existence of an "Output Robust Control Lyapunov Function" implies existence of continuous time-varying feedback stabilizer, which guarantees output asymptotic stability with respect to the…

最优化与控制 · 数学 2007-11-21 Iasson Karafyllis , John Tsinias

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

Among the various critical systems that worth to be formally analyzed, a wide set consists of controllers for dynamical systems. Those programs typically execute an infinite loop in which simple com putations update internal states and…

最优化与控制 · 数学 2014-09-18 Assalé Adje , Pierre-Loïc Garoche