Results 71 to 80 of about 3,398,797 (221)
Relaxations of Conditions of Lyapunov Functions
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In this study, stability conditions are given for nonlinear time varying systems using the classical Lyapunov 2nd Method and its arguments. A novel approach is utilized and so that uniform stability can also be proved by using an unclassical Lyapunov Function.
openaire +4 more sources
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan +3 more
wiley +1 more source
A polynomial algebraic approach to Lyapunov stability analysis of higher-order 2D systems
, 2010 We introduce a four-variable polynomial matrix equation which plays an essential role in the stability analysis of discrete 2-D systems and in the computation of Lyapunov functions for such systems; we call this the 2-D polynomial Lyapunov equation (2-D ...
Kojima, Chiaki +2 more
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Impulsive Thruster Control for Spacecraft Docking: A Lyapunov Approach
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this work, we propose a novel discontinuous impulsive controller for nonlinear systems that admit continuous‐time stabilizing controllers. Specifically, we develop a technique for generating discrete control pulses of short duration based on the Lyapunov candidate function associated with a continuous‐time controller. Our method uses a real‐
Xun Liu +2 more
wiley +1 more source
Construction of Lyapunov-Krasovskii functional for time-varying delay systems
, 2008 International audienceThis paper provides some new techniques to construct a Lyapunov-Krasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov ...
Gouaisbaut, Frédéric +3 more
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
doaj +1 more source
ADAPT: An Autonomous Forklift for Construction Site Operation
Journal of Field Robotics, EarlyView.ABSTRACT Efficient material logistics are critical in controlling costs and schedules in the construction industry. However, manual material handling remains prone to inefficiencies, delays, and safety risks. Autonomous forklifts offer a solution to streamline on‐site logistics, reducing reliance on human operators and mitigating labor shortages.
Johannes Huemer +12 more
wiley +1 more source
Solution of polynomial Lyapunov and Sylvester equations
, 2006 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
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Nonlinear Analysis, 2018 In this typescript, we concerned the problem of delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays.
Selvakumar Pandiselvi +5 more
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