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Output stabilizability of a class of infinite dimensional linear systems is studied in this paper. A criterion for the system to be output stabilizable by a linear bounded feedback $u=Fx$, $F\in L(Z,\mathbb{R}^{^{p}})$ will be given.

最优化与控制 · 数学 2014-08-08 Faouzi Haddouchi

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

We investigate the regulator problem (tracking and disturbance rejection) for a system (plant) described by a boundary controlled anti-stable linear one-dimensional Schrodinger equation, using the backstepping approach. The output to be…

最优化与控制 · 数学 2021-12-14 Hua-Cheng Zhou , George Weiss

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

系统与控制 · 电气工程与系统科学 2021-01-07 Lei Wang , Christopher M. Kellett

We address the output regulation problem for a general class of linear stochastic systems. Specifically, we formulate and solve the ideal full-information and output-feedback problems, obtaining perfect, but non-causal, asymptotic…

系统与控制 · 电气工程与系统科学 2021-04-26 Alberto Mellone , Giordano Scarciotti

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…

We consider a two-dimensional SISO LTI system closed by uncertain linear feedback. The feedback gain is time-varying, bounded, and has a bounded derivative (both bounds are known). We investigate the asymptotic stability of this system…

最优化与控制 · 数学 2026-02-03 Anton Ponomarev , Lutz Gröll

The present paper addresses the problem of existence of an (output) feedback law to the purposes of asymptotically steering to zero a given controlled variable, while keeping all state variables bounded, for any initial conditions in a…

最优化与控制 · 数学 2007-05-23 Lorenzo Marconi , Laurent Praly , Alberto Isidori

We address the output regulation problem of linear systems with non-smooth and non-periodic exogenous signals. Specifically, we first formulate and solve the full-information problem by designing a state-feedback controller. We study the…

系统与控制 · 电气工程与系统科学 2025-05-28 Zirui Niu , Daniele Astolfi , Giordano Scarciotti

This paper is concerned with the stabilization problem of singular fractional order systems with order $\alpha\in(0,2)$. In addition to the sufficient and necessary condition for observer based control, a sufficient and necessary condition…

动力系统 · 数学 2020-03-30 Yiheng Wei , Jiachang Wang , Tianyu Liu , Yong Wang

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

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded output operators by finite-dimensional controllers. Both necessary conditions and sufficient conditions for feedback stabilizability are presented. The…

最优化与控制 · 数学 2023-09-06 Tian Xia , Giacomo Casadei , Francesco Ferrante , Luca Scardovi

Synchronization control in arrays of identical output-coupled continuous-time linear systems is studied. Sufficiency of new conditions for the existence of a synchronizing feedback law are analyzed. It is shown that for neutrally stable…

动力系统 · 数学 2008-11-24 S. Emre Tuna

In this paper we study the problem of determining the largest degree of stability that can be achieved for SISO systems using negative imaginary state feedback control. A state feedback result is given for synthesising a controller for a…

最优化与控制 · 数学 2023-03-14 James Dannatt , Ian Petersen

In this paper, a state feedback control design with min/max operational limiting constraints is developed for multi-input-multi-output linear time invariant systems. Specifically, servo-tracking control problems with input and output…

系统与控制 · 电气工程与系统科学 2025-11-26 Eugene Lavretsky

We propose easily verifiable necessary and sufficient conditions for the linearizability of two-input systems by an endogenous dynamic feedback with a dimension of at most two.

动力系统 · 数学 2023-01-11 Conrad Gstöttner , Bernd Kolar , Markus Schöberl

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

系统与控制 · 计算机科学 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

We consider the problem of designing a state feedback control law to achieve nonovershooting tracking for feedback linearisable multiple-input multiple-output nonlinear systems. The reference signal is assumed to be obtained from a linear…

最优化与控制 · 数学 2019-10-18 Robert Schmid

Linear quadratic regulator with unmeasurable states and unknown system matrix parameters better aligns with practical scenarios. However, for this problem, balancing the optimality of the resulting controller and the leniency of the…

最优化与控制 · 数学 2025-09-04 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

This paper introduces a method for efficiently updating a nominal stabilizing static output feedback (SOF) controller in perturbed linear systems. As operating points and state-space matrices change in dynamic systems, accommodating updates…

系统与控制 · 电气工程与系统科学 2025-12-03 MirSaleh Bahavarnia , Ahmad F. Taha
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