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相关论文: On Topological and Metrical Properties of Stabiliz…

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This work presents a fairly complete account on various topological and metrical aspects of feedback stabilization for single-input-single-output (SISO) continuous and discrete time linear-time-invariant (LTI) systems. In particular, we…

系统与控制 · 计算机科学 2019-04-19 Jingjing Bu , Afshin Mesbahi , Mehran Mesbahi

In this paper, the feedback stabilization of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) system cascaded by a linear stochastic system is studied in the mean-square sense. Here, the linear stochastic system can model…

系统与控制 · 电气工程与系统科学 2024-05-06 Junhui Li , Jieying Lu , Weizhou Su

This paper studies a stabilization problem for linear MIMO systems subject to external perturbation that further requires the closed-loop system render a specified gain from the external perturbation to the output. The problem arises from…

系统与控制 · 计算机科学 2018-06-15 Lijun Zhu , Zhiyong Chen , Xi Chen , David J. Hill

This paper proposes a frequency-wise approach for stability analysis of multi-input, multi-output (MIMO) Linear Time-Invariant (LTI) feedback systems through Scaled Relative Graphs (SRGs). Unlike traditional methods, such as the Generalized…

系统与控制 · 电气工程与系统科学 2026-01-26 Eder Baron-Prada , Alberto Padoan , Adolfo Anta , Florian Dörfler

A static non-linear homogeneous feedback for a fixed-time stabilization of a linear time-invariant (LTI) system is designed in such a way that the settling time is assigned exactly to a prescribed constant for all nonzero initial…

系统与控制 · 电气工程与系统科学 2023-07-06 Andrey Polyakov , Miroslav Krstic

A necessary and sufficient condition, expressed simply as the DC loop gain (ie the loop gain at zero frequency) being less than unity, is given in this paper to guarantee the internal stability of a feedback interconnection of Linear…

最优化与控制 · 数学 2014-01-31 A. Lanzon , I. R. Petersen

In this paper, we study stabilizability of discrete-time switched linear systems where the switching signal is considered as an arbitrary disturbance (and not a control variable). We characterize feedback stabilization via necessary and…

最优化与控制 · 数学 2025-06-05 Thiago Alves Lima , Matteo Della Rossa , Antoine Girard

This paper investigates the robust asymptotic stabilization of a linear time-invariant (LTI) system by a static feedback with a static state quantization. It is shown that the controllable LTI system can be stabilized to zero in a finite…

最优化与控制 · 数学 2024-03-27 Yu Zhou , Andrey Polyakov , Gang Zheng

We present an approach to compute stabilizing controllers for continuous-time linear time-invariant systems directly from an input-output trajectory affected by process and measurement noise. The proposed output-feedback design combines (i)…

系统与控制 · 电气工程与系统科学 2025-11-17 Alessandro Bosso , Marco Borghesi , Andrea Iannelli , Bowen Yi , Giuseppe Notarstefano

This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system…

最优化与控制 · 数学 2023-09-07 Yu Zhou , Andrey Polyakov , Gang Zheng

We consider the problem of designing a feedback controller which robustly regulates an LTI system to an optimal operating point in the presence of unmeasured disturbances. A general design framework based on so-called optimality models was…

最优化与控制 · 数学 2022-08-18 John W. Simpson-Porco

In this paper, the design of a static feedback gain for a linear system subject to an input delay is studied. This synthesis is based on a stability analysis conducted using Lyapunov-Krasovskii theorem and Bessel-Legendre inequalities…

最优化与控制 · 数学 2019-04-30 Matthieu Barreau , Frédéric Gouaisbaut , Alexandre Seuret

In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies. The newly defined phase concept subsumes the…

系统与控制 · 电气工程与系统科学 2022-10-24 Wei Chen , Dan Wang , Sei Zhen Khong , Li Qiu

It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large. High-gain adaptive controllers achieve stability by…

最优化与控制 · 数学 2009-01-27 Ian A. Gravagne , John M. Davis , Jeffrey J. DaCunha

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any arbitrarily assigned initial condition.…

最优化与控制 · 数学 2014-02-24 Lorenzo Ntogramatzidis , Jean-Francois Tregouet , Robert Schmid

The stability of interconnected linear time-invariant systems using singular values and the small gain theorem has been studied for many decades. The methods of mu-analysis and synthesis has been extensively developed to provide robustness…

系统与控制 · 电气工程与系统科学 2024-12-19 Luke Woolcock , Robert Schmid

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…

系统与控制 · 计算机科学 2016-04-12 Jonathan Laporte , Antoine Chaillet , Yacine Chitour

In this paper, we introduce a definition of phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems, the frequency responses of which are cramped at all frequencies. This phase concept generalizes…

系统与控制 · 计算机科学 2019-04-09 Wei Chen , Dan Wang , Sei Zhen Khong , Li Qiu

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

系统与控制 · 计算机科学 2019-03-19 Wonseok Ha , Juhoon Back

In this paper we present a method for designing a linear time invariant (LTI) state-feedback controller to monotonically track a constant step reference at any desired rate of convergence for any initial condition. Necessary and sufficient…

最优化与控制 · 数学 2014-12-08 Lorenzo Ntogramatzidis , Jean-Francois Tregouet , Robert Schmid , Augusto Ferrante
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