Results 81 to 90 of about 4,180,533 (278)

About the Subgradient Method for Equilibrium Problems

Mathematics
Convergence results of the subgradient algorithm for equilibrium problems were mainly obtained using a Lipschitz continuity assumption on the given bifunctions. In this paper, we first provide a complexity result for monotone equilibrium problems without
Abdellatif Moudafi
doaj   +1 more source

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh, Almuatazbellah Boker, Mohammad Al Janaideh   +2 more
wiley   +1 more source

Approximation of analytic functions satisfying a Lipschitz condition. [PDF]

Michigan Mathematical Journal, 1978
Let \(\lambda_\alpha\), \(0 0\) there exists a function \(f_\varepsilon\in \lambda_\alpha\) such that (i) the inner factors of \(f\) and \(f_\varepsilon\) coincide, (ii) \(\Vert f - f_\varepsilon\Vert < \varepsilon\), (iii) \(\vert f_\varepsilon(z)\vert = O(\operatorname{dist}^M(z,E))\) as \(\operatorname{dist}(z,E)\to 0\). The proof is fairly long and
openaire   +2 more sources

Neural Network‐Based Adaptive Super‐Twisting Control for Perturbed Nonlinear Systems: Lyapunov Design

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A newly developed robust control strategy based on an adaptive neural network (ANN) estimator performed in concert with adaptive super‐twisting (ASTW) control is presented. The proposed adaptive robust control algorithm is applied to a class of perturbed nonlinear systems and features a significantly decreased control gain with respect to the ...
Mohammad Javad Mirzaei, Mohamed Assaad Hamida, Yuri Shtessel, Franck Plestan   +3 more
wiley   +1 more source

On the extension of a vector function so as to preserve a Lipschitz condition

, 1943
ing the origin, the theorem from Polya-Szegö may be applied with the F(z) of the theorem taken as A (z). Theorem 111(b) then follows immediately. As an application of Theorem III, let us consider the polynomial F(z)=jy~oakG(k+p)z where p>0 and G(z)=T(z)~
F. A. Valentine
semanticscholar   +1 more source

Frequency‐Domain Analysis of External Signal Propagation Through Sliding Mode Control Systems With Dynamic Actuators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley   +1 more source

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

Existence and stability of mild solutions to parabolic stochastic partial differential equations driven by Lévy space-time noise

Electronic Journal of Qualitative Theory of Differential Equations, 2016
This paper is concerned with well-posedness and stability of parabolic stochastic partial differential equations. Firstly, we obtain some sufficient conditions ensuring the existence and uniqueness of mild solutions, and some $\mathcal{H}$-stability ...
Chaoliang Luo, Shangjiang Guo
doaj   +1 more source

Initial State Privacy of Nonlinear Systems on Riemannian Manifolds

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley   +1 more source