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10 results on '"Cai, Ruiyang"'

1. Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative

Author

Cai, Ruiyang, Ge, Fudong, Chen, YangQuan, and Kou, Chunhai

Subjects
Mathematics - Optimization and Control
Abstract

This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems with a Hadamard-Caputo time fractional derivative. Some necessary and sufficient conditions on regional gradient exact and approximate controllability are first given and proved in detail. Secondly, we propose an approach on how to calculate the minimum number of $\omega-$strategic actuators. Moreover, the existence, uniqueness and the concrete form of the optimal controller for the system under consideration are presented by employing the Hilbert Uniqueness Method (HUM) among all the admissible ones. Finally, we illustrate our results by an interesting example., Comment: 16 pages

Published
2019
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2. REGIONAL GRADIENT CONTROLLABILITY OF ULTRA-SLOW DIFFUSIONS INVOLVING THE HADAMARD-CAPUTO TIME FRACTIONAL DERIVATIVE

Author

Cai, Ruiyang, Ge, Fudong, Chen, Yangquan, and Kou, Chunhai

Subjects
Ultra-slow diffusion processes, regional gradient controllability, Hadamard-Caputo time fractional derivative, Hilbert Uniqueness Method, math.OC, Applied Mathematics, Numerical and Computational Mathematics
Abstract

This paper investigates the regional gradient controllability for ultra-slowdiffusion processes governed by the time fractional diffusion systems with aHadamard-Caputo time fractional derivative. Some necessary and sufficientconditions on regional gradient exact and approximate controllability are firstgiven and proved in detail. Secondly, we propose an approach on how tocalculate the minimum number of $\omega-$strategic actuators. Moreover, theexistence, uniqueness and the concrete form of the optimal controller for thesystem under consideration are presented by employing the Hilbert UniquenessMethod (HUM) among all the admissible ones. Finally, we illustrate our resultsby an interesting example.

Published
2020

4. Boundary feedback stabilization for a class of distributed-order fractional reaction diffusion systems

Author

ZHANG Qing, KOU Chunhai, and CAI Ruiyang

Subjects
boundary control, reaction diffusion system, Q1-390, Science (General), distributed-order fractional system, backstepping transformation, stability
Abstract

In this paper, the problem of boundary feedback stabilization for a class of distributed-order fractional reaction diffusion systems is studied. Firstly, the stability of the target system is analyzed. By using the backstepping method, the explicit kernel matrix function is obtained, and a new state feedback controller is designed to stabilize the original system. Then we consider two kinds of output measurements, that is, the non-collocated output and the collocated output. In the two cases, the corresponding observers and output feedback controllers are designed, respectively, to achieve the asymptotical stability of the studied system.

Published
2020

5. Feedback stabilization control design for a class of nonlinear fractional order triangular systems

Author

LI Jing, KOU Chunhai, and CAI Ruiyang

Subjects
feedback control, recursive method, Q1-390, Science (General), lyapunov method, nonlinear fractional order triangular system
Abstract

This paper investigates the design of feedback controls for a class of nonlinear homogeneous and inhomogeneous fractional order triangular systems with high power right-hand functions. By using the fractional Lyapunov method and the recursive method, we derive both state and output feedback controllers to stabilize the systems that we study. Finally, two numerical example are provided to illustrate the effectiveness of our results.

Published
2020

10. Adaptive Control and Synchronization for a Class of Nonlinear Fractional Order Systems with Uncertainty.

Author

LEI Huajing, KOU Chunhai, CAI Ruiyang, and HE Binbin

Subjects
ADAPTIVE control systems, NONLINEAR systems, LYAPUNOV stability, PARAMETER estimation, CLOSED loop systems
Abstract

This paper investigates the design of adaptive control for a class of nonlinear fractional order systems with multiple unknown parameters. By using the adaptive backstepping method and fractional Lyapunov method, an adaptive feedback controller is proposed to stabilize the closed-loop system. The parameter estimation adaptive law is also obtained. Moreover, these results are applied to the master-slave configuration synchronization of the studied systems. Finally, numerical simulation is provided to demonstrate the effectiveness of our results. [ABSTRACT FROM AUTHOR]

Published
2019

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