Results 61 to 70 of about 48,981 (245)
Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
wiley +1 more source
Pinching, Pontrjagin classes, and negatively curved vector bundles
We prove several finiteness results for the class $M_{a,b,G,n}$ of $n$-manifolds that have fundamental groups isomorphic to $G$ and that can be given complete Riemannian metrics of sectional curvatures within $[a,b]$ where $a\le ...
Belegradek, Igor
core +1 more source
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
wiley +1 more source
Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines
Introduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
doaj +1 more source
On recursive estimation for time varying autoregressive processes
This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong to appropriate
Moulines, Eric +2 more
core +1 more source
On finite lipschitz Orlicz Sobolev classes
It is found a sufficient condition of finite Lipschitz of homeomorphisms of the Orlicz-Sobolev class under a condition of the Calderon type.
openaire +3 more sources
PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
wiley +1 more source
Approximation of functions by (C,2)(E,1) product summability method of Fourier series
Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of 2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
doaj +1 more source
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
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
The main concern of this study is to present a generalization of Banach's fixed point theorem in some classes of modular spaces, where the modular is convex and satisfying the $\Delta _{2}$-condition.
Müzeyyen Sangurlu Sezen
doaj +1 more source

