Results 81 to 90 of about 2,291,454 (248)

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

Inverse Function Theorems and Jacobiansover Metric Spaces

Analysis and Geometry in Metric Spaces, 2014
We present inversion results for Lipschitz maps f : Ω ⊂ ℝN → (Y, d) and stability of inversionfor uniformly convergent sequences. These results are based on the Area Formula and on the l.s.c. of metricJacobians.
Granieri Luca
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

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION

Forum of Mathematics, Sigma, 2020
We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO, KATRIN GRUNERT, HELGE HOLDEN   +2 more
doaj   +1 more source

Observer Design for Vector Nonlinear Systems With Applications to Autonomous Vehicles and Robots

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on observer design for nonlinear systems involving functions of vector arguments. The output equations and the process dynamics are both composed of nonlinear functions of nonseparable multivariable states. The partial derivatives of the nonlinear functions are assumed to be bounded.
Gaurav Sharma, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Nonlinear asymptotic stability in $L^\infty $ for Lipschitz solutions to scalar conservation laws

Comptes Rendus. Mathématique
In this note, we show nonlinear stability in $L^\infty $ for Lipschitz solutions to genuinely nonlinear, multi-dimensional scalar conservation laws. As an application, we are able to compute algebraic decay rates of the $L^\infty $ norm of perturbations ...
Golding, William
doaj   +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

Neural Network‐Based Runtime Monitoring and Control for Unknown Nonlinear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Real‐time system monitoring and stabilization become especially challenging when the system dynamics are unknown. This article introduces a novel design for monitoring and stabilizing unknown nonlinear systems with measurement noise. The design utilizes a generic modelling framework by decomposing the system into a known tunable linear ...
Jianglin Lan, Xianxian Zhao, Ron Patton
wiley   +1 more source

Lipschitz stability for the inverse Robin problem [PDF]

Inverse Problems, 2007
We are concerned with a problem arising in corrosion detection. We consider the stability issue for the inverse problem of determining a Robin coefficient on the inaccessible portion of the boundary by the electrostatic measurements performed on the accessible one.
openaire   +2 more sources

Stability of Lipschitz type in determination of initial heat distribution

Journal of Inequalities and Applications, 1997
For the solution of the equations where , is a bounded domain with -boundary and for an appropriate subboundary of we prove a Lipschitz estimate of : For and for a positive constant The norm is involved and strong, but it is a natural one in ...
Yamamoto Masahiro, Saitoh Saburou
doaj   +2 more sources