Results 41 to 50 of about 524,480 (211)

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

Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential

Abstract and Applied Analysis, 2013
We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
Kaimin Teng
doaj   +1 more source

Safeguarded Reinforcement Learning for Dynamic Environments

Optimal Control Applications and Methods, EarlyView.
This paper uses a combination of Reinforcement Learning and Funnel Control to train a fast and safe controller for systems operating in changing environments. Furthermore, the presented formulation overcomes former limitations associated with the need for predefined reference trajectories.
Simon Gottschalk
wiley   +1 more source

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like

Abstract and Applied Analysis, 2013
A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei, Ge Bin
doaj   +1 more source

Generalized Lipschitz Algebras [PDF]

, 1967
A class of Banach algebras which generalize the idea of the Lipschitz algebra on a metric space is studied. It is shown that homomorphisms of these algebras correspond to mappings of the underlying space which satisfy certain moduli of continuity.
Bishop, Ernest
core  

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

Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
doaj   +1 more source

Homoclinic solutions for a differential inclusion system involving the p(t)-Laplacian

Advances in Nonlinear Analysis, 2022
The aim of this article is to study nonlinear problem driven by the p(t)p\left(t)-Laplacian with nonsmooth potential. We establish the existence of homoclinic solutions by using variational principle for locally Lipschitz functions and the properties of ...
Cheng Jun, Chen Peng, Zhang Limin
doaj   +1 more source

Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings

, 2010
We describe the notion of a weakly Lipschitz mapping on a Cq stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms.
Czapla, Małgorzata
core   +1 more source

Feedback Linearisation with State Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
wiley   +1 more source