Results 271 to 280 of about 3,224,849 (346)

Novel stability criteria for linear time-delay systems using Lyapunov-Krasovskii functionals with a cubic polynomial on time-varying delay

IEEE/CAA Journal of Automatica Sinica, 2021
One of challenging issues on stability analysis of time-delay systems is how to obtain a stability criterion from a matrix-valued polynomial on a time-varying delay.
Xianming Zhang, Q. Han, Xiaohua Ge
semanticscholar   +1 more source

Nonlinear Transient Stability Analysis of Phased-Locked Loop-Based Grid-Following Voltage-Source Converters Using Lyapunov’s Direct Method

IEEE Journal of Emerging and Selected Topics in Power Electronics, 2021
In this article, using Lyapunov’s stability theorem, the transient stability conditions for a grid-following voltage-source converter (VSC) are found. These conditions take into account both the grid specifications and the VSC’s dynamics.
Milad Zarif Mansour, Si Phu Me, Sajjad Hadavi, B. Badrzadeh, A. Karimi, B. Bahrani   +5 more
semanticscholar   +1 more source

A pure neural network controller for double‐pendulum crane anti‐sway control: Based on Lyapunov stability theory

Asian journal of control, 2019
Crane systems have been widely applied in logistics due to their efficiency of transportation. The parameters of a crane system may vary from each transport, therefore the anti‐sway controller should be designed to be insensitive to the variation of ...
Qingrong Chen, Wenming Cheng, Lingchong Gao, J. Fottner   +3 more
semanticscholar   +1 more source

Deep Lyapunov Learning: Embedding the Lyapunov Stability Theory in Interpretable Neural Networks for Transient Stability Assessment

IEEE Transactions on Power Systems
The machine learning-based transient stability assessment (TSA) has shown satisfactory accuracy while been limited by the lack of interpretability. This letter thereby presents a novel deep learning paradigm that naturally embeds the Lyapunov stability ...
Jiacheng Liu, Jun Liu, Rudai Yan, Tao Ding   +3 more
semanticscholar   +1 more source

A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T–S Fuzzy Systems

IEEE transactions on fuzzy systems, 2021
This article investigates the stability analysis and stabilization problems for fractional-order T–S fuzzy systems via fuzzy Lyapunov function method.
Xiaofei Fan, Zhanshan Wang
semanticscholar   +1 more source

Connecting nonlinear incremental Lyapunov stability with the linearizations Lyapunov stability

Proceedings of the 44th IEEE Conference on Decision and Control, 2006
In this paper, we reveal new connections between the incremental Lyapunov properties of a nonlinear system and the Lyapunov properties of its linearizations. We focus on (incremental) asymptotic and exponential stability. In contrast with other works on the incremental Lyapunov properties of nonlinear systems, our approach is based on extended spaces ...
Fromion, Vincent, Scorletti, Gérard
openaire   +2 more sources

Robust stability via polyhedral Lyapunov functions

2009 American Control Conference, 2009
In this paper we study the robustness analysis problem for linear continuous-time systems subject to parametric time-varying uncertainties making use of piecewise linear (polyhedral) Lyapunov functions. A given class of Lyapunov functions is said to be “universal” for the uncertain system under consideration if the search of a Lyapunov function that ...
Amato, F., Ambrosino, R., Ariola, M.
openaire   +3 more sources

Lyapunov stability of a rigid body with two frictional contacts

arXiv.org, 2016
Lyapunov stability of a mechanical system means that the dynamic response stays bounded in an arbitrarily small neighborhood of a static equilibrium configuration under small perturbations in positions and velocities.
P. Várkonyi, Y. Or
semanticscholar   +1 more source

Stability of Lyapunov exponents

Ergodic Theory and Dynamical Systems, 1991
AbstractWe consider small random perturbations of matrix cocycles over Lipschitz homeomorphisms of compact metric spaces. Lyapunov exponents are shown to be stable provided that our perturbations satisfy certain regularity conditions. These results are applicable to dynamical systems, particularly to volume-preserving diffeomorphisms.
Ledrappier, F., Young, L.-S.
openaire   +2 more sources

SENSITIVITY ANALYSIS AND LYAPUNOV STABILITY

IFAC Proceedings Volumes, 1964
This chapter focuses on sensitivity analysis and Lyapunov stability. Sensitivity analysis is an extension and development of a rather old idea, which became known in the theory of partial differential equations under the name of a correctly set problem.
openaire   +1 more source