Results 51 to 60 of about 1,716 (212)
Journal of Inequalities and Applications, 2021 In this paper, we study the duality theorems of a nondifferentiable semi-infinite interval-valued optimization problem with vanishing constraints (IOPVC). By constructing the Wolfe and Mond–Weir type dual models, we give the weak duality, strong duality,
Haijun Wang, Huihui Wang
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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
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Monotonicity and Symmetry of Nonnegative Solutions to -Δ u=f(u) in Half-Planes and Strips
Advanced Nonlinear Studies, 2017 We consider nonnegative solutions to -Δu=f(u)${-\Delta u=f(u)}$ in half-planes and strips, under zero Dirichlet boundary condition. Exploiting a rotating and sliding line technique, we prove symmetry and monotonicity properties of the solutions, under ...
Farina Alberto, Sciunzi Berardino
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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
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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
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Fixed points and differential equations with asymptotically constant or periodic solutions
Electronic Journal of Qualitative Theory of Differential Equations, 2004 Cooke and Yorke developed a theory of biological growth and epidemics based on an equation $x'(t)=g(x(t))-g(x(t-L))$ with the fundamental property that $g$ is an arbitrary locally Lipschitz function.
Theodore Burton
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Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
Mathematics, 2020 In this paper, we study a class of constrained variational-hemivariational inequality problems with nonconvex sets which are star-shaped with respect to a certain ball in a reflexive Banach space.
Stanisław Migórski, Long Fengzhen
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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
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Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness
Advanced Nonlinear Studies, 2019 In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Safety‐critical control remains a major challenge for four‐wheel independently steered and driven (4ISD) mobile robots, where high‐accuracy path tracking and obstacle avoidance must be achieved under over‐actuated steering–driving coordination, tire–ground friction limits, and wheel‐torque constraints.
Ruitong Liu, Kenji Hashimoto
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