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 +3 more
wiley +1 more source
Surjection and inversion for locally Lipschitz maps between Banach spaces [PDF]
, 2019 We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition.
Gutú, Olivia +1 more
core +1 more source
Observer Design for Vector Nonlinear Systems With Applications to Autonomous Vehicles and Robots
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper focuses on observer design for nonlinear systems involving functions of vector arguments. The output equations and the process dynamics are both composed of nonlinear functions of nonseparable multivariable states. The partial derivatives of the nonlinear functions are assumed to be bounded.
Gaurav Sharma +2 more
wiley +1 more source
The Rank Theorem for Locally Lipschitz Continuous Functions
, 1988 The Rank Theorem is proved for locally Lipschitz continuous functions f:Rn → Rp with generalized derivative of constant rank.
C. Viger, G. J. Butler, J. G. Timourian
core +1 more source
Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
wiley +1 more source
Neural Network‐Based Runtime Monitoring and Control for Unknown Nonlinear Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Real‐time system monitoring and stabilization become especially challenging when the system dynamics are unknown. This article introduces a novel design for monitoring and stabilizing unknown nonlinear systems with measurement noise. The design utilizes a generic modelling framework by decomposing the system into a known tunable linear ...
Jianglin Lan, Xianxian Zhao, Ron Patton
wiley +1 more source
Generalizing Generic Differentiability Properties from Convex to Locally Lipschitz Functions [PDF]
, 1994 David Preiss proved that every locally Lipschitz function on an open subset of a Banach space which has an equivalent norm Gâteaux (Fréchet) differentiable away from the origin is Gâteaux (Fréchet) differentiable on a dense subset of its domain.
Sciffer, S., Giles, J.R.
core +1 more source
Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
Journal of Inequalities and Applications, 2019 Let ...
Pu Zhang, Zengyan Si, Jianglong Wu
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
Multiple Solutions for a Class of Differential Inclusion System Involving the (p(x),q(x))-Laplacian
Abstract and Applied Analysis, 2012 We consider a differential inclusion system involving the (p(x),q(x))-Laplacian with Dirichlet boundary condition on a bounded domain and obtain two nontrivial solutions under appropriate hypotheses.
Bin Ge, Ji-Hong Shen
doaj +1 more source