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This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

动力系统 · 数学 2025-05-01 Bin Zhou , Kai Zhang

The class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed. It is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J. Evans,…

动力系统 · 数学 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly…

系统与控制 · 计算机科学 2017-04-25 Jérémie Kreiss , Laurent Bako , Eric Blanco

This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as a continuous time Markov chain (CTMC). The resulting…

系统与控制 · 计算机科学 2017-03-29 Shiba Biswal , Karthik Elamvazhuthi , Spring Berman

In this work we provide explicit conditions on the existence of optimal feedback controls for stochastic processes with regime-switching. We use the compactification method which needs less regularity conditions on the coefficients of the…

最优化与控制 · 数学 2020-01-14 Jinghai Shao

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…

By computing a feedback control via the linear quadratic regulator (LQR) approach and simulating a non-linear non-autonomous closed-loop system using this feedback, we combine two numerically challenging tasks. For the first task, the…

数值分析 · 数学 2024-02-22 B. Baran , P. Benner , J. Saak , T. Stillfjord

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

最优化与控制 · 数学 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

This paper presents a novel factor graph-based approach to solve the discrete-time finite-horizon Linear Quadratic Regulator problem subject to auxiliary linear equality constraints within and across time steps. We represent such optimal…

机器人学 · 计算机科学 2021-10-27 Shuo Yang , Gerry Chen , Yetong Zhang , Howie Choset , Frank Dellaert

In the design of complex quantum systems like ion traps for quantum computing, it is usually desired to stabilize a particular system state or make the system state track a desired trajectory. Several control theoretical approaches based on…

系统与控制 · 计算机科学 2012-11-26 K. P. Nagarjun , S. Sivaranjani , George Koshy

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

最优化与控制 · 数学 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

系统与控制 · 电气工程与系统科学 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

In this work, we consider the controllability of a discrete-time linear dynamical system with sparse control inputs. Sparsity constraints on the input arises naturally in networked systems, where activating each input variable adds to the…

系统与控制 · 电气工程与系统科学 2020-05-14 Geethu Joseph , Chandra R. Murthy

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

Identifying and controlling an unstable, underactuated robot to enable reference tracking is a challenging control problem. In this paper, a ballbot (robot balancing on a ball) is used as an experimental setup to demonstrate and test…

最优化与控制 · 数学 2024-04-24 Tobias Fischer , Dimitrios S. Karachalios , Ievgen Zhavzharov , Hossam S. Abbas

This paper studies the problem of developing computationally efficient solutions for steering the distribution of the state of a stochastic, linear dynamical system between two boundary Gaussian distributions in the presence of…

系统与控制 · 电气工程与系统科学 2024-03-25 Joshua Pilipovsky , Panagiotis Tsiotras

We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the…

最优化与控制 · 数学 2020-05-11 Sandeep Menta , Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

This article develops a control method for linear time-invariant systems subject to time-varying and a priori unknown cost functions, that satisfies state and input constraints, and is robust to exogenous disturbances. To this end, we…

系统与控制 · 电气工程与系统科学 2026-02-02 Marko Nonhoff , Mohammad Taher Al Torshan , Matthias A. Müller

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

系统与控制 · 电气工程与系统科学 2024-10-15 Mohammad Khajenejad

The design of direct data-based controllers has become a fundamental part of control theory research in the last few years. In this paper, we consider three classes of data-based state feedback control problems for linear systems. These…

系统与控制 · 电气工程与系统科学 2026-05-15 Victor G. Lopez , Matthias A. Müller