Results 41 to 50 of about 2,958 (201)
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
k-Fractional trigonometric functions [PDF]
, 2014 Based on the k-Mittag-Lefler function and the k-α-Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some ...
Cerutti, Ruben Alejandro +1 more
core +1 more source
Implementation and Optimization of Extended Function Library Based on SW26010 Processor [PDF]
Jisuanji gongcheng, 2017 Intel,AMD and IBM have their vector extension libraries which accord with their own features.Compared with traditional scalar calculation,the speedup of vectorization technology is higher.Therefore,this paper develops a set of vector math library ...
CAO Dai,GUO Shaozhong,ZHANG Xin
doaj +1 more source
Improved q-exponential and q-trigonometric functions
Appl. Math. Lett., 2010 We propose a new definition of the q-exponential function. Our q-exponential function maps the imaginary axis into the unit circle and the resulting q-trigonometric functions are bounded and satisfy the Pythagorean identity.
openaire +3 more sources
Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
wiley +1 more source
Exponential integrability of stochastic convolutions [PDF]
, 2003 Sucient conditions are found for stochastic convolution integrals driven by a Wiener process in a Hilbert space to belong to the Orlicz space expL2; standard exponential tail estimates follow from these results.
Seidler, Jan, Sobukawa, Takuya
core +1 more source
Journal of Taibah University for Science, 2020 This work employs two new modified computational schemes to find the exact travelling and solitary wave solutions of the general modified Degasperis-Procesi Camassa-Holm (DP CH) equation that is used to illustrate the dynamical behaviour of shallow water.
Mostafa M. A. Khater +4 more
doaj +1 more source
Results in Physics, 2020 In this article, the instigator sets up the profuse traveling wave solutions four types of fractional nonlinear equations in the sense of conformable derivatives by using the novel form of modified mathematical technique.
Asghar Ali +2 more
doaj +1 more source
Methods of smoothing applied to differences in star positions in observational catalogues [PDF]
Serbian Astronomical Journal, 1998 Three different methods, Whittaker - Robinson - Vondrak (WRV), cubic spline (SPL) and Expansion of the Elementary Trigonometric and Exponential Functions (ETE), are applied to differences in star positions of five observational catalogues in ...
Popović N.
doaj +1 more source
Structural Concrete, EarlyView.Abstract This paper presents a regression‐based methodology to estimate the Torsional Stiffness Reduction Factor (TSRF) of reinforced concrete beams under combined torsion and shear. A numerical database of 6816 samples was generated using the Combined Action Softened Truss Model (CA‐STM) implemented in Python, considering design guidelines prescribed ...
Khrys K. S. Medeiros +2 more
wiley +1 more source