A5100732832- Matrix Theory and Algorithms
- Advanced Optimization Algorithms Research
- graph theory and CDMA systems
- Advanced Topics in Algebra
- Iterative Methods for Nonlinear Equations
- Tensor decomposition and applications
- Neural Networks Stability and Synchronization
- Advanced Control Systems Design
- Neural Networks and Applications
- Mathematics and Applications
- Chaos control and synchronization
- Sparse and Compressive Sensing Techniques
- Statistical and numerical algorithms
- Advanced Mathematical Theories and Applications
- Process Optimization and Integration
- Industrial Technology and Control Systems
- Stability and Control of Uncertain Systems
- Advanced Algorithms and Applications
- Electromagnetic Scattering and Analysis
- Machine Fault Diagnosis Techniques
- Algebraic and Geometric Analysis
- Blind Source Separation Techniques
- Flood Risk Assessment and Management
- Advanced Sensor and Control Systems
- Wireless Communication Networks Research
Minzu University of China
2022-2024
Tianjin University of Science and Technology
2022-2024
Shanghai Jiao Tong University
2023
Guangxi University for Nationalities
2017-2022
China Centre for Resources Satellite Data and Application
2022
Capital Normal University
2021-2022
Huawei Technologies (France)
2021
Beijing University of Civil Engineering and Architecture
2021
Beijing Technology and Business University
2021
Huainan Normal University
2008-2018
Backstepping control for fractional-order nonlinear systems (FONSs) requires the analytic calculation of fractional derivatives certain complicated stabilizing functions, which becomes prohibitive as order system increases. This article aims to facilitate adaptive neural network (NN) backstepping design FONSs with actuator faults whose parameters and patterns are fully unknown. A filtering approach, obviates requirement differentiation, is used generate command signals together their...
This article investigates positivity, external and asymptotic stability for a large class of incommensurate fractional-order nonlinear systems (FONSs) with bounded multiple time-varying delays by virtue the T-S fuzzy method. The Laplace transformation technique is used to obtain solutions FONSs. A sufficient necessary condition derived characterizing (internal) certain criteria are also provided guarantee positivity FONSs or without delays. It indicated that considered determined purely...
Abstract In this paper, we introduce the weak group inverse (called as WG in present paper) for square complex matrices of an arbitrary index, and give some its characterizations properties. Furthermore, two orders: one is a pre-order other partial order, derive several orders. The paper ends with characterization core EP order using inverses.
In this note, we revisit the core inverse and partial ordering introduced by Baksalary Trenkler [Linear Multilinear Algebra. 2010;58:681–697]. We prove that of is unique solution , establish several characterizations inverse, reverse order law for inverse.
In this paper, synchronization for a class of uncertain fractional-order neural networks subject to external disturbances and disturbed system parameters is studied. Based on the extension Lyapunov stability criterion, an adaptive controller designed, adaptation law proposed update parameter online. The can guarantee that errors between two converge zero asymptotically. By using some lemmas, quadratic functions are employed in analysis. Finally, numerical simulations presented confirm...
In this paper, we define a QLY total order ≤Q over Dm to compare the magnitude of dual vectors. Then consider least-squares problem and give its compact formula. Meanwhile, by comparing with minimal-norm solutions, can investigate linear problems. particular, in presence solution, get solution be more accurate than under order.
In this paper the synchronization for two different fractional-order chaotic systems, capable of guaranteeing error with prescribed performance, is investigated by means control method. By performance we mean that converges to zero asymptotically, convergence rate being no less than a certain function. A controller and an adaptive controller, which can guarantee error, are proposed systems without disturbances, respectively. Finally, our simulation studies verify clarify
In this paper, synchronization for a class of uncertain fractional-order neural networks with external disturbances is discussed by means adaptive fuzzy control. Fuzzy logic systems, whose inputs are chosen as errors, employed to approximate the unknown nonlinear functions. Based on fractional Lyapunov stability criterion, an controller designed, and closed-loop system, convergence error, well boundedness all signals involved can be guaranteed. To update parameters, adaptations laws...
<abstract> This paper is devoted to consider some new characteristics and properties of the weak group inverse matrix. First, we characterize a square matrix based on its range space null space. Also several different characterizations are presented by projection Bott-Duffin inverse. Then using core-EP decomposition, investigate relationships between other generalized inverses. And obtained. </abstract>
In this paper the synchronization problem for uncertain fractional-order chaotic systems with unknown non-symmetrical control gain matrices is investigated by means of adaptive fuzzy control. Fuzzy logic are employed to approximate nonlinear functions. We decompose matrix into a positive definite matrix, unity upper triangular and diagonal entries +1 or -1. The used construct Lyapunov function; design controller. Based on fractional stability theorem, an controller, which accompanied...
In this paper, robust adaptive control for uncertain fractional-order financial chaotic systems with bounded unknown external disturbance is studied. By utilizing the extension of classical Lyapunov stability methods, an controller presented controlling system. Quadratic function employed in analysis, and adaptation laws are designed to update parameters online. The proposed can ensure that system states converge origin asymptotically all signals closed-loop remain bounded. Finally,...