Results 81 to 90 of about 417,873 (284)

Existence theory for functional initial value problems of ordinary differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2004
In this paper the existence of a solution of general nonlinear functional differential equations is proved under mixed generalized Lipschitz and Carath\'eodory condition.
Bapurao Dhage
doaj   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Rate of convergence of Szász-beta operators based on q-integers

Demonstratio Mathematica, 2017
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence.
Gupta Pooja, Agrawal Purshottam Narain
doaj   +1 more source

Lipschitz Continuity for the Solutions of Triharmonic Equation

Mathematical Problems in Engineering, 2019
Let be the unit disk in the complex plane and denote . Write for the class of all sense‐preserving homeomorphism of onto the boundary of a C2 convex Jordan domain Ω. In this paper, five equivalent conditions for the solutions of triharmonic equations with Dirichlet boundary value conditions and to be Lipschitz continuous are presented.
Zhou Yu, Xiao Bing
openaire   +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

Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance

Advances in Difference Equations, 2020
This investigation is devoted to the study of a certain class of coupled systems of higher-order Hilfer fractional boundary value problems at resonance.
Yousef Gholami
doaj   +1 more source

Lipschitz continuity of probability kernels in the optimal transport framework

, 2023
In Bayesian statistics, a continuity property of the posterior distribution with respect to the observable variable is crucial as it expresses well-posedness, i.e., stability with respect to errors in the measurement of data.
Mainini, Edoardo, Dolera, Emanuele
core  

Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes, João Manoel Gomes da Silva Jr., Sophie Tarbouriech   +2 more
wiley   +1 more source

Approximation properties of the modified Lupas-Kantorovich type operators

MATEC Web of Conferences, 2017
In this paper, the author introduce a class of modified Lupas-Kantorovich type operators which preserve constant and linear functions. By using modulus of continuity, modulus of smooth, K-functional and lipschitz class, the rate of convergence of these ...
Lian Bo-yong
doaj   +1 more source

Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley   +1 more source