84 citations · 367 across the 17 of their papers we have counts for
17 papers
On some analytic properties of nabla tempered fractional calculus
Yiheng Wei, Linlin Zhao, Xuan Zhao +1
Despite many applications regarding fractional calculus have been reported in literature, it is still unknown how to model some practical process. One major challenge in solving su…
Some useful inequalities for nabla tempered fractional calculus
Yiheng Wei, Linlin Zhao, Kai Cao +1
This paper gives particular emphasis to the nabla tempered fractional calculus, which involves the multiplication of the rising function kernel with tempered functions, and provide…
Finite-time and Fixed-time Convergence in Continuous-time Optimization
Yuquan Chen, Yiheng Wei, YangQuan Chen
It is known that the gradient method can be viewed as a dynamic system where various iterative schemes can be designed as a part of the closed loop system with desirable properties…
Consistent approximation of fractional order operators
Yiheng Wei, YangQuan Chen, Yingdong Wei +1
Fractional order controllers become increasingly popular due to their versatility and superiority in various performance. However, the bottleneck in deploying these tools in practi…
Analytical calculation of the inverse nabla Laplace transform
Yiheng Wei, YangQuan Chen, Yuquan Chen +1
The inversion of nabla Laplace transform, corresponding to a causal sequence, is considered. Two classical methods, i.e., residual calculation method and partial fraction method ar…
Convolutional neural networks with fractional order gradient method
Dian Sheng, Yiheng Wei, Yuquan Chen +1
This paper proposes a fractional order gradient method for the backward propagation of convolutional neural networks. To overcome the problem that fractional order gradient method…
A novel perspective to gradient method: the fractional order approach
Yuquan Chen, Yiheng Wei, Yong Wang
In this paper, we give some new thoughts about the classical gradient method (GM) and recall the proposed fractional order gradient method (FOGM). It is proven that the proposed FO…
Some fundamental properties on the sampling free nabla Laplace transform
Yiheng Wei, Yuquan Chen, Yong Wang +1
Discrete fractional order systems have attracted more and more attention in recent years. Nabla Laplace transform is an important tool to deal with the problem of nabla discrete fr…
A universal framework of GKYP lemma for singular fractional order systems
Yuman Li, Yiheng Wei, Yuquan Chen +1
The well-known GKYP is widely used in system analysis, but for singular systems, especially singular fractional order systems, there is no corresponding theory, for which many cont…
Adaptive backstepping control for FOS with nonsmooth nonlinearities
Dian Sheng, Yiheng Wei, Songsong Cheng +1
This paper proposes an original solution to input saturation and dead zone of fractional order system. To overcome these nonsmooth nonlinearities, the control input is decomposed i…
On the Leibniz rule and Laplace transform for fractional derivatives
Yiheng Wei, Da-Yan Liu, Peter W. Tse +1
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clea…
Infinite series representation of fractional calculus: theory and applications
Yiheng Wei, YangQuan Chen, Qing Gao +1
This paper focuses on the equivalent expression of fractional integrals/derivatives with an infinite series. A universal framework for fractional Taylor series is developed by expa…
Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions
Yiheng Wei, Jiachang Wang, Peter W Tse +1
The paper focuses on the numerical approximation of nabla fractional order systems with the conditions of nonzero initial instant and nonzero initial state. First, the inverse nabl…
Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state
Yiheng Wei, Jiachang Wang, Tianyu Liu +1
This paper is concerned with the stabilization problem of singular fractional order systems with order . In addition to the sufficient and necessary condition for observ…
Design of generalized fractional order gradient descent method
Yiheng Wei, Yu Kang, Weidi Yin +1
This paper focuses on the convergence problem of the emerging fractional order gradient descent method, and proposes three solutions to overcome the problem. In fact, the general f…
Time-domain response of nabla discrete fractional order systems
Yiheng Wei, Qing Gao, Songsong Cheng +1
This paper investigates the time--domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the…
Lyapunov functions for nabla discrete fractional order systems
Yiheng Wei, Yuquan Chen, Tianyu Liu +1
This paper focuses on the fractional difference of Lyapunov functions related to Riemann-Liouville, Caputo and Grunwald-Letnikov definitions. A new way of building Lyapunov functio…