Results 41 to 50 of about 3,224,849 (346)

MODIFIED ALGORITHM FOR DETERMINATION OF FULL STABILITY AREAS IN NONSTATIONARY NONLINEAR SYSTEMS

Российский технологический журнал, 2018
The paper proposes a numerical algorithm for constructing Lyapunov spline functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
doaj   +1 more source

Input-to-state stability of infinite-dimensional control systems

, 2012
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing, Andrii Mironchenko, B Jayawardhana, B Jayawardhana, BS Rüffer, D Henry, ED Sontag, ED Sontag, ED Sontag, F Mazenc, I Karafyllis, I Karafyllis, I Karafyllis, JC Willems, JP Hespanha, L Grüne, L Grüne, P Pepe, RF Curtain, S Dachkovski, S Dashkovskiy, S Dashkovskiy, Sergey Dashkovskiy, SN Dashkovskiy, Y Lin, ZP Jiang   +25 more
core   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

Lyapunov Stability of Quasiperiodic Systems [PDF]

Mathematical Problems in Engineering, 2012
We present some observations on the stability and reducibility of quasiperiodic systems. In a quasiperiodic system, the periodicity of parametric excitation is incommensurate with the periodicity of certain terms multiplying the state vector. We present a Lyapunov‐type approach and the Lyapunov‐Floquet (L‐F) transformation to derive the stability ...
openaire   +2 more sources

Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field

Advanced Robotics Research, EarlyView.
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao, Zheping Yan, Yuqing Wang, Raye Chen‐Hua Yeow   +3 more
wiley   +1 more source

Applications of Lyapunov Functions to Caputo Fractional Differential Equations

Mathematics, 2018
One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

Finite-Time Lyapunov Functions and Impulsive Control Design

Complexity, 2020
In this paper, we introduce finite-time Lyapunov functions for impulsive systems. The relaxed sufficient conditions for asymptotic stability of an equilibrium of an impulsive system are given via finite-time Lyapunov functions.
Huijuan Li, Qingxia Ma
doaj   +1 more source

Global asymptotic properties for a Leslie-Gower food chain model

, 2009
We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
core   +1 more source

Highly Secure In Vivo DNA Data Storage Driven by Genomic Dynamics

Advanced Science, EarlyView.
Integrated computational‐biological programming enables secure in vivo data storage by generating code tables from either genomes or gene regulatory networks, expanding the encryption key space by over 100 orders of magnitude. Storing code tables within synthetic genes, genomes, or gene regulatory networks adds an additional layer of security by ...
Jiaxin Xu, Yu Wang, Haibo Zhou, Mingen Li, Yang Wang, Lingwei Wang, Hui Mei, Junbiao Dai, Shanze Chen, Xiaoluo Huang   +9 more
wiley   +1 more source

New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach

IEEE Access, 2020
In this paper, new conditions of the stability, stabilization and L2-gain performance of periodic piecewise systems are proposed. Both the continuous and discontinuous Lyapunov functions with dwell-time related time-varying Lyapunov matrix polynomial are
Panshuo Li, Mali Xing, Yun Liu, Bin Zhang   +3 more
doaj   +1 more source