Results 91 to 100 of about 417,873 (284)

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

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

Continuous Interpolation of Solutions of Lipschitz Inclusions

Journal of Mathematical Analysis and Applications, 2001
Let \(F\) be a set-valued map defined on \([0,T]\times \mathbb{R}^{n}\) and taking values on closed and nonempty subsets of \(\mathbb{R}^{n}\). The authors show that if \(F\) is measurable in \(t\) and Lipschitzian continuous in \(x\), then for a given finite set of trajectories to the problem \[ \dot x(t)\in F(t,x), \quad x(0)=\xi, \tag{1} \] starting
Broucke, Mireille, Arapostathis, Ari
openaire   +2 more sources

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

Capacity inequalities and Lipschitz continuity of mappings [PDF]

. In this paper, we consider homeomorphic mappings defined by p-capacity inequalities in domains of Rn. In the case p = n − 1, we prove the Lipschitz continuity of such mappings, i.e., the continuity that extends the result due to F.
Ukhlov A. D., Salimov R. R., Sevost’yanov Е. А.   +2 more
core   +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

On the Lipschitz continuity of the solutions map in semidefinite linear complementarity problems

, 2005
In this paper, we investigate the Lipschitz continuity of the solution map in semidefinite linear complementarity problems. For a monotone linear transformation defined on the space of real symmetric n × n matrices, we show that the Lipschitz continuity ...
Balaji, R., Sampangi Raman, D., Parthasarathy, T., Vetrivel, V.   +3 more
core   +1 more source

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

Computer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier, Florine Hartwig, Josua Sassen, Sergio Conti, Mirela Ben‐Chen, Martin Rumpf   +5 more
wiley   +1 more source

Existence theory for nonlinear functional boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations, 2004
In this paper the existence of a solution of a general nonlinear functional two point boundary value problem is proved under mixed generalized Lipschitz and Carath\'eodory conditions.
Bapurao Dhage, Johnny Henderson
doaj   +1 more source

Convergence of λ-Bernstein operators based on (p, q)-integers

Journal of Inequalities and Applications, 2020
In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
doaj   +1 more source