Results 21 to 30 of about 108,486 (247)

Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems [PDF]

, 2004
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our given Lyapunov ...
Angeli, Astolfi, Bacciotti, Crouch, Frédéric Mazenc, Jiang, Khalil, Loria, Loria, Mazenc, Mazenc, Mazenc, Michael Malisoff, Morin, Morin, Sontag, Sontag, Sontag, Sontag, Sontag, Teel   +20 more
core   +4 more sources

W-Stability of Multistable Nonlinear Discrete-Time Systems

Discrete Dynamics in Nature and Society, 2012
Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new
Zhishuai Ding, Guifang Cheng, Xiaowu Mu
doaj   +1 more source

Stable Exact Solutions in Cosmological Models with Two Scalar Fields [PDF]

, 2010
The stability of isotropic cosmological solutions for two-field models in the Bianchi I metric is considered. We prove that the sufficient conditions for the Lyapunov stability in the Friedmann-Robertson-Walker metric provide the stability with respect ...
A. A. Starobinsky, A. G. Muslimov, A. G. Riess, A. M. Lyapunov, B. Zwiebach, C. Germani, G. F. R. Ellis, I. Moss, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I. Ya. Aref’eva, I.Ya. Aref’eva, I.Ya. Aref’eva, J. D. Barrow, J. Sadeghi, J. Wainwright, K. Ohmori, L. Bianchi, N. V. Bulatov, O. DeWolfe, P. J. Steinhardt, R. Lazkoz, R. Lazkoz, R. M. Wald, S. Nesseris, S. W. Hawking, S. Weinberg, S. Yu. Vernov, S. Yu. Vernov, T. S. Pereira, U. Alam, Z.-K. Guo, Z.-K. Guo   +40 more
core   +1 more source

Unified Sufficient Conditions for Predefined-Time Stability of Non-Linear Systems and Its Standard Controller Design

Actuators
This paper presents a unified Lyapunov-based predefined-time stability theorem that includes three sufficient conditions. The standard theoretical analysis method for achieving predefined-time stability of non-linear systems using this theorem is ...
Bing Xiao, Haichao Zhang, Shijie Zhao, Zhaoyue Chen, Lu Cao   +4 more
doaj   +1 more source

An LMI Approach to Stability for Linear Time-Varying System with Nonlinear Perturbation on Time Scales

Abstract and Applied Analysis, 2011
We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, 𝜓-uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on ...
Kanit Mukdasai, Piyapong Niamsup
doaj   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

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

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

Hilbert space Lyapunov exponent stability

Transactions of the American Mathematical Society, 2019
We study cocycles of compact operators acting on a separable Hilbert space and investigate the stability of the Lyapunov exponents and Oseledets spaces when the operators are subjected to additive Gaussian noise. We show that as the noise is shrunk to 0, the Lyapunov exponents of the perturbed cocycle converge to those of the unperturbed cocycle, and ...
Froyland, Gary, Gonzalez-Tokman, Cecilia, Quas, Anthony   +2 more
openaire   +4 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