Results 41 to 50 of about 1,369 (204)

Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ-Variation

Journal of Function Spaces, 2014
We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t)=h(u(t)), acts in the space κΦBV[a,b] and satisfies a local Lipschitz condition.
Odalis Mejía, Nelson José Merentes Díaz, Beata Rzepka   +2 more
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

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

-Optimal Solutions in Nonconvex Semi-Infinite Programs with Support Functions

Fixed Point Theory and Applications, 2011
Approximate optimality conditions for a class of nonconvex semi-infinite programs involving support functions are given. The objective function and the constraint functions are locally Lipschitz functions on .
Son TaQuang, Kim DoSang
doaj  

On Constraint Qualifications and Optimality Conditions in Nonsmooth Semi-infinite Optimization [PDF]

Control and Optimization in Applied Mathematics
The primary objective of this paper is to enhance several well-known geometric constraint qualifications and necessary optimality conditions for nonsmooth semi-infinite optimization problems (SIPs).
Atefeh Hassani Bafrani
doaj   +1 more source

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems

Fixed Point Theory and Algorithms for Sciences and Engineering, 2022
This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
doaj   +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

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

Semilocal convergence conditions for the secant method, using recurrent functions

Journal of Numerical Analysis and Approximation Theory, 2011
Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
doaj   +2 more sources

Fault‐Tolerant Fuzzy Boundary Control for Nonlinear Distributed Parameter Systems Under Limited Measurements and Markovian Failures

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li, Kaibo Shi, Yue Yu, Xiangkun Wang, Ming Zhu, Xiao Cai   +5 more
wiley   +1 more source