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  1. Asymptotic Upper Bound for the Peak-Effect in Linear Control Systems

    Abstract

    The large deviations of linear control system trajectories from the equilibrium position during the stabilization process, known as...

    Article 01 April 2024
  2. Higher-Order Iterative Learning Control Algorithms for Linear Systems

    Abstract

    Iterative learning control (ILC) algorithms appeared in connection with the problems of increasing the accuracy of performing repetitive...

    P. V. Pakshin, J. P. Emelianova, M. A. Emelianov in Computational Mathematics and Mathematical Physics
    Article 01 April 2024
  3. Data-Sampling Based Controllability Analysis and Optimal Control of Linear Multi-Agent Systems

    This paper investigates optimal control for two kinds of multi-agent systems with the sampled-data based communication protocols. Necessary and...

    Article 20 June 2024
  4. Data-Driven Control of Linear Systems via Quantized Feedback

    Quantized feedback control is fundamental to system synthesis with limited communication capacity. In sharp contrast to the existing literature on...

    **ngchen Li, Feiran Zhao, Keyou You in Journal of Systems Science and Complexity
    Article 27 February 2024
  5. Dynamics of Linear Control Systems on the Group of Proper Motions

    This article describes the dynamical behavior of any linear control system on the group of proper motions SE (2). It characterizes the controllability...

    Víctor Ayala, Adriano Da Silva, Alejandro Otero Robles in Journal of Dynamical and Control Systems
    Article 25 September 2023
  6. Solution curve for linear control systems on Lie groups

    The purpose of this paper is to describe explicitly the solution for linear control system on Lie groups. Furthermore, we present some applications...

    João Paulo Lima de Oliveira, Alexandre J. Santana, Simão N. Stelmastchuk in Partial Differential Equations and Applications
    Article 16 February 2023
  7. Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations

    This paper focuses on linear-quadratic (LQ) optimal control for a class of systems governed by first-order hyperbolic partial differential equations...

    **aomin Xue, Juanjuan Xu, Huanshui Zhang in Journal of Systems Science and Complexity
    Article 27 February 2024
  8. On the Dynamics of Two-Dimensional Fractional Linear Control Systems

    In this paper, we examine the behavior of phase trajectories of fractional two-dimensional linear systems with control. We focus on the fractional...

    S. S. Postnov, E. A. Postnova in Journal of Mathematical Sciences
    Article 19 December 2023
  9. Optimal Control of Unknown Discrete-Time Linear Systems with Additive Noise

    The optimal control problem with a long run average cost is investigated for unknown linear discrete-time systems with additive noise. The authors...

    Article 19 April 2023
  10. Indefinite linear quadratic optimal control problem for uncertain random discrete-time systems

    We consider an optimal control problem known as indefinite linear quadratic (ILQ) control for discrete-time linear systems that are subject to...

    **n Chen, **g Cao, Ting ** in Journal of Applied Mathematics and Computing
    Article 05 July 2023
  11. Exact Controllability for Mean-Field Type Linear Game-Based Control Systems

    Motivated by the self-pursuit of controlled objects, we consider the exact controllability of a linear mean-field type game-based control system...

    Cui Chen, Zhiyong Yu in Applied Mathematics & Optimization
    Article 30 May 2024
  12. Static Feedback Design in Linear Discrete-Time Control Systems Based on Training Examples

    Abstract

    The problem of static feedback design in linear discrete time-invariant control systems is considered. The desired behavior of the system is...

    V. A. Mozzhechkov in Automation and Remote Control
    Article 01 September 2023
  13. The Chain Control Set of Discrete-Time Linear Systems on the Affine Two-Dimensional Lie Group

    In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine...

    Thiago Matheus Cavalheiro, João Augusto Navarro Cossich, Alexandre José Santana in Journal of Dynamical and Control Systems
    Article 22 June 2024
  14. Infinite Horizon Mean-Field Linear Quadratic Optimal Control Problems with Jumps and the Related Hamiltonian Systems

    In this work, we focus on an infinite horizon mean-field linear-quadratic stochastic control problem with jumps. Firstly, the infinite horizon linear...

    Qingmeng Wei, Yaqi Xu, Zhiyong Yu in Applied Mathematics & Optimization
    Article 04 June 2024
  15. Coding and Control for Linear Gaussian Systems: Separation, Optimality and Linearity

    In the previous chapter, we obtained the structure of optimal encoders for general stochastic, controlled and control-free, dynamical systems. Due to...
    Chapter 2024
  16. The Stochastic Linear Quadratic Optimal Control Problem on Hilbert Spaces: The Case of Non-analytic Systems

    We derive the algebraic Riccati equation associated with the infinite dimensional linear quadratic stochastic optimal control problem on an infinite...

    Article 07 April 2023
  17. Construction of the Time-Optimal Bounded Control for Linear Discrete-Time Systems Based on the Method of Superellipsoidal Approximation

    Abstract

    The speed-in-action problem for a linear discrete-time system with bounded control is considered. In the case of superellipsoidal constraints...

    D. N. Ibragimov, V. M. Podgornaya in Automation and Remote Control
    Article 01 September 2023
  18. Output Feedback Reinforcement Learning Control for Linear Systems

    This monograph explores the analysis and design of model-free optimal control systems based on reinforcement learning (RL) theory, presenting new...
    Syed Ali Asad Rizvi, Zongli Lin in Control Engineering
    Book 2023
  19. Controllability of periodic linear systems, the Poincaré sphere, and quasi-affine systems

    For periodic linear control systems with bounded control range, an autonomized system is introduced by adding the phase to the state of the system....

    Fritz Colonius, Alexandre Santana, Juliana Setti in Mathematics of Control, Signals, and Systems
    Article Open access 04 October 2023
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