Results 101 to 110 of about 3,985,897 (236)

On the Ψ - Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations

Annals of West University of Timisoara - Mathematics, 2013
This paper deals with (necessary and) sufficient conditions for Ψ-exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential equations. AMS Subject Classification (2010). 34D20;34D05.
openaire   +1 more source

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

Practical Stability of Caputo fractional differential equations by Lyapunov functions

, 2016
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
Donal 'Regan, Snezhana G. Hristova, Ravi P. Agarwal, O'Regan, Donal, Hristova, Snezhana G., Agarwal, Ravi P.   +5 more
core   +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

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

Bounds of the matrix eigenvalues and its exponential by Lyapunov equation [PDF]

, 2012
summary:We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix.
Hu, Guang-Da, Mitsui, Taketomo
core   +1 more source

Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley   +1 more source

Stability of Caputo fractional differential equations by Lyapunov functions [PDF]

, 2015
summary:The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions.
Hristova, Snezhana, O'Regan, Donal, Donal O’Regan, Snezhana Hristova, Ravi Agarwal, Agarwal, Ravi   +5 more
core   +1 more source

Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley   +1 more source

The resolution of the differential Lyapunov matrix equations using Rosenbrock method

, 2019
The resolution of the differential Lyapunov matrix equations \(\begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)A^T+B,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}\) où \(A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{n\times n},\) using Rosenbrock method Author : LAKHLIFA SADEK.
openaire   +2 more sources