Results 131 to 140 of about 983 (285)

Exact solutions of the conformable fractional differential systems with constant coefficients

Journal of Applied Science and Engineering
Conformable fractional calculus simplifies research and application due to its similarity with classical calculus in theory and operations. Therefore, it has gained significant attention from researchers and has accumulated rich theoretical achievements.
Yang Cai
doaj   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Input–Output Finite‐Time Stability and Stabilization of Nonautonomous Nonlinear Quadratic Systems via State and Output Feedback

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola, Francesca Nesci, Donatella Dragone, Francesco Montefusco, Francesco Amato, Carlo Cosentino   +5 more
wiley   +1 more source

Euler's formula for zeta(2n) and Cauchy variables

, 2007
Euler's formulae for zeta(2n) are recovered from the computation in two dierent manners of the even moments of log(|C1C2|), for C1 and C2 two independent standard Cauchy variables.
Yor, Marc, Bourgade, Paul, Fujita, Takahiko   +2 more
core   +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

On the Integral Representation of Jacobi Polynomials

Mathematics
In this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
doaj   +1 more source

High‐Order Sliding‐Mode control for MIMO Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper extends Lyapunov‐based homogeneous high‐order sliding‐mode control to a class of uncertain non‐square multi‐input multi‐output (MIMO) nonlinear systems with a well‐defined vector relative degree. The considered systems admit a normal‐form representation with an uncertain but full‐row‐rank input‐gain matrix.
Jaime A. Moreno, Angel Mercado‐Uribe
wiley   +1 more source

On Extended Beta Function and Related Inequalities

Mathematics
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function.
Rakesh K. Parmar, Tibor K. Pogány, Ljiljana Teofanov   +2 more
doaj   +1 more source

Nonlinear Receding‐Horizon Differential Game for Drone Racing Along a Three‐Dimensional Path

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Drone racing requires high‐speed navigation through three‐dimensional paths, posing significant challenges in control engineering. Existing control methods lack a feedback control framework that simultaneously addresses nonlinear drone dynamics and multi‐agent competitive interactions, such as overtaking or obstructing opponents.
Kijin Sung, Kenta Hoshino, Akihiko Honda, Takeya Shima, Toshiyuki Ohtsuka   +4 more
wiley   +1 more source

Redefining Optimal Coverage Path Planning for FLS‐Equipped AUVs With Deep Reinforcement Learning

Journal of Field Robotics, EarlyView.
ABSTRACT Autonomous Underwater Vehicles (AUVs) have emerged as indispensable tools for a variety of subsea tasks, from habitat monitoring and seabed mapping to infrastructure inspection and mine countermeasures. A fundamental challenge in this field is Coverage Path Planning (CPP), the problem of ensuring complete and efficient area coverage.
Lorenzo Cecchi, Alberto Topini, Alessandro Bucci, Alessandro Ridolfi   +3 more
wiley   +1 more source