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HURWITZ MATRIX, LYAPUNOV AND DIRICHLET ON THE SUSTAINABILITY OF LYAPUNOV’S
Tambov University Reports. Series: Natural and Technical Sciences, 2018 The concepts of Hurwitz, Lyapunov and Dirichlet matrices are introduced for the convenience of the stability of linear systems with constant coefficients. They allow us to describe all the cases of interest in the stability theory of linear systems with constant coefficients.
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar +2 more
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SICE Journal of Control, Measurement, and System Integration, 2019 We consider solving a large-scale Lyapunov equation for a multi-agent system. As is well known, the Lyapunov equation can be solved by equivalently rewriting it as a system of linear equations.
Asuka Ohashi, Kiyotsugu Takaba
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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems
IEEE Access, 2019 The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang +3 more
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Fractal and Fractional, 2023 We consider a system of Riemann–Liouville fractional differential equations with multi-point coupled boundary conditions. Using some techniques from matrix analysis and the properties of the integral operator defined on two Banach spaces, we establish ...
Yumei Zou, Yujun Cui
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Advanced Intelligent Systems, EarlyView.A zero‐watermarking algorithm that combines a refined convolutional additive self‐attention vision transformer (CAS‐ViT) with a discrete wavelet transform variance‐based feature descriptor (DVFD) is proposed for protecting the privacy of medical images in mobile healthcare services.
Pei Liu +6 more
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Particle swarm optimization based networked control system design with uncertainty
MATEC Web of Conferences, 2017 This study discusses the design of state feedback control for networked control system (NCS) with uncertainty, where the feedback controller is used to solve the latency and the packet dropout caused by NCS.
Chen Ti-Hung, Yeh Ming-Feng, Lee Wen-Yo
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Two modified least-squares iterative algorithms for the Lyapunov matrix equations
Advances in Difference Equations, 2019 In this paper two modified least-squares iterative algorithms are presented for solving the Lyapunov matrix equations. The first algorithm is based on the hierarchical identification principle, which can be viewed as a surrogate of the least-squares ...
Min Sun, Yiju Wang, Jing Liu
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On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems
Annals of West University of Timisoara - Mathematics, 2013 Summary: In this paper, we provide a way to combine matrix Lyapunov systems with fuzzy sets to form a new system called fuzzy dynamical matrix Lyapunov system and obtain a suffcient condition for the controllability of this system.
Murty, M. S. N. +3 more
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, 2002 This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and ...
Owens, D H +5 more
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