Lyapunov Stability of the Generalized Stochastic Pantograph Equation
Journal of Mathematics, 2018 The purpose of the paper is to study stability properties of the generalized stochastic pantograph equation, the main feature of which is the presence of unbounded delay functions. This makes the stability analysis rather different from the classical one.
Ramazan Kadiev, Arcady Ponosov
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Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles [PDF]
, 2013 Gary Froyland +2 more
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Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst +2 more
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Autonomous Intelligent SystemsCombining safety objectives with stability objectives is crucial for safety-critical systems. Existing studies generally unified these two objectives by constructing Lyapunov-type barrier functions. However, insufficient analysis of key set relationships
Haoqi Li +3 more
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Lyapunov Function based Criteria for Ship Rolling in Random Beam Seas
Polish Maritime Research, 2019 The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced.
Üçer Erdem
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Stochastic stability and the moment Lyapunov exponent for a gyro-pendulum system driven by a bounded noise [PDF]
, 2023 Shenghong Li, Junting Lv
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
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The Lyapunov Concept of Stability from the Standpoint of Poincare Approach: General Procedure of Utilization of Lyapunov Functions for Non-Linear Non-Autonomous Parametric Differential Inclusions [PDF]
, 2014 Myroslav Sparavalo
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
Journal of Field Robotics, EarlyView.ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
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