Results 91 to 100 of about 7,504,828 (242)

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic   +3 more
wiley   +1 more source

Input-to-state stability for parameterized discrete-time time-varying nonlinear systems with applications

, 2005
Input-testate stability (ISS) of a parameterized familyof discrete-time time-varying nonlinear systems isinvestigated. A converse Lyapunov theorem for such systems is developed.
Laila, Dina Shona, Astolfi, A., Astolfi, Alessandro   +2 more
core   +1 more source

Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]

, 2015
Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB, Spurgeon, Sarah K., Orlov, YV, Orlov, Yury V., Oza, Harshal B., Spurgeon, SK   +5 more
core   +1 more source

A perspective on graph theory-based stability analysis of impulsive stochastic recurrent neural networks with time-varying delays

Advances in Difference Equations, 2019
In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut, C. Huang   +5 more
doaj   +1 more source

Global exponential stability for coupled systems of neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, a novel class of neutral delay differential equations (NDDEs) is presented. By using the Razumikhin method and Kirchhoff's matrix tree theorem in graph theory, the global exponential stability for such NDDEs is investigated.
Wenxue Li, Hongwei Yang, Junyan Feng, Ke Wang   +3 more
doaj   +1 more source

Validation of Neural Network Controllers for Uncertain Systems Using the Keep‐Close Approach: Robustness Analysis and Safety Verification

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
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
core   +1 more source

Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations

Abstract and Applied Analysis, 2014
The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays.
Xiang Gu, Huicheng Wang, P. J. Y. Wong, Yonghui Xia   +3 more
doaj   +1 more source

Terrain‐Adaptive Quadrupedal Locomotion Using Model Predictive Control With Impedance Control and SINDy Model Enhancement

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Quadrupedal robots operating in unstructured environments require adaptive control systems that can handle diverse terrain conditions without prior surface characterization. This paper presents an integrated control architecture that combines Model Predictive Control (MPC) with adaptive impedance control and SINDy‐based model corrections for ...
Peter James McConnellogue, Mien Van, Rhyss McMullan, Dianhao Zhang, Wasif Naeem   +4 more
wiley   +1 more source

A weak invariance principle and asymptotic stability for evolution equations with bounded generators

International Journal of Mathematics and Mathematical Sciences, 1995
If V is a Lyapunov function of an equation du/dt=u′=Zu in a Banach space then asymptotic stability of an equilibrium point may be easily proved if it is known that sup(V′)
E. N. Chukwu, P. Smoczynski
doaj   +1 more source