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In this paper we show how to formulate and solve disturbance decoupling problems over networks while choosing a minimal number of input and output nodes. Feedback laws that isolate and eliminate the impact of disturbance nodes on specific…

最优化与控制 · 数学 2026-03-17 Luca Claude Gino Lebon , Claudio Altafini

We consider the problem of robotic planning under uncertainty. This problem may be posed as a stochastic optimal control problem, complete solution to which is fundamentally intractable owing to the infamous curse of dimensionality. We…

最优化与控制 · 数学 2020-07-21 Mohamed Naveed Gul Mohamed , Suman Chakravorty , Dylan A. Shell

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

最优化与控制 · 数学 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

In this paper, we identify the smallest set of control input nodes and an associated output feedback law that achieves complete disturbance decoupling for a class of coupled oscillator networks. The focus is specifically on systems…

系统与控制 · 电气工程与系统科学 2026-04-17 Luca Claude Gino Lebon , Johan Lindberg , Claudio Altafini

This note studies the robust output feedback stabilization problem of multi-input multi-output invertible nonlinear systems with output-dependent multipliers. An "ideal" state feedback is first designed under certain mild assumptions. Then,…

系统与控制 · 电气工程与系统科学 2021-03-02 Lei Wang , Christopher M. Kellett

In this work, it is demonstrated that the usual power system dynamic model exhibits a feedforward-feedback control structure. The distinct properties of the feedforward and feedback subsystems are identified and studied using respective…

系统与控制 · 电气工程与系统科学 2022-12-06 Minquan Chen , Deqiang Gan

In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms.…

最优化与控制 · 数学 2023-08-29 Alexey Peregudin , Igor Furtat

This paper addresses optimal feedback selection for generic arbitrary pole placement of structured systems when each feedback edge is associated with a cost. Given a structured system and a feedback cost matrix, our aim is to find a…

最优化与控制 · 数学 2017-07-06 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

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

We consider discrete ensembles of linear, scalar control systems with single-inputs. Assuming that all the individual systems are unstable, we investigate whether there exist linear feedback control laws that can asymptotically stabilize…

最优化与控制 · 数学 2024-08-01 Xudong Chen

The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure's problem) can be proved by the well-known circle criterion, the multivalued…

系统与控制 · 电气工程与系统科学 2020-02-11 Michael Ruderman

Besides parametric uncertainties and disturbances, the unmodeled dynamics and time delay at the input are often present in practical systems, which cannot be ignored in some cases. This paper aims to solve output feedback tracking control…

系统与控制 · 计算机科学 2020-03-10 Quan Quan , Hai Lin , Kai-Yuan Cai

In this document, we deal with the stabilization problem of slow-fast systems (or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic point. The class of systems studied here have the following properties: 1) they have…

系统与控制 · 计算机科学 2017-04-26 H. Jardon-Kojakhmetov , Jacquelien M. A. Scherpen , D. del Puerto-Flores

Feedback optimization has emerged as an effective strategy for steady-state optimization of dynamical systems. By exploiting models of the steady-state input-output sensitivity, methods of this type are often sample efficient, and their use…

最优化与控制 · 数学 2025-09-17 Kristian Lindbäck Løvland , Lars Struen Imsland , Bjarne Grimstad

We prove the well-posedness of a linear closed-loop system with an explicit (already known) feedback leading to arbitrarily large decay rates. We define a mild solution of the closed-loop problem using a dual equation and we prove that the…

最优化与控制 · 数学 2013-01-25 Ambroise Vest

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

最优化与控制 · 数学 2017-06-08 Hua-Cheng Zhou , George Weiss

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 present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

系统与控制 · 电气工程与系统科学 2023-05-09 Weiming Che , Fulvio Forni

In this paper, we study the rapid stabilization of an unstable wave equation, in which an unknown disturbance is located at the boundary condition. We address two different boundary conditions: Dirichlet- Dirichlet and Dirichlet-Neumann. In…

最优化与控制 · 数学 2025-10-07 Patricio Guzmán , Agustín Huerta , Hugo Parada

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

动力系统 · 数学 2008-01-21 S. Emre Tuna