A piecewise spectral method for solving the chaotic control problems of hyperchaotic finance system

2017 ◽  
Vol 31 (3) ◽  
pp. e2284 ◽  
Author(s):  
Mohammad Karimi ◽  
Hassan Saberi Nik
Keyword(s):  
Spectral Method ◽  
Control Problems ◽  
Chaotic Control ◽  
Finance System

scholarly journals A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Lin Cao
Keyword(s):  
Qualitative Analysis ◽  
Phase Portraits ◽  
Control Problems ◽  
Complete Synchronization ◽  
Adaptive Controllers ◽  
Finance System ◽  
Single Input ◽  
Theoretical Results ◽  
Setting Parameters ◽  
New System

The construction and several control problems of a new hyperchaotic finance system are investigated in this paper. Firstly, a new four-dimensional hyperchaotic finance system is introduced, based on which a new hyperchaos is then generated by setting parameters. And the qualitative analysis is numerically studied to confirm the dynamical processes, for example, the bifurcation diagram, Poincaré sections, Lyapunov exponents, and phase portraits. Interestingly, the obtained results show that this new system can display complex characteristics: chaotic, hyperchaotic, and quasiperiodic phenomena occur alternately versus parameters. Secondly, three single input adaptive controllers are designed to realize the control problems of such system: stabilization, synchronization, and coexistence of antisynchronization and complete synchronization, respectively. It is noted that the designed controllers are simpler than the existing ones. Finally, numerical simulations are provided to demonstrate the validity and the effectiveness of the proposed theoretical results.

scholarly journals A Robust Pseudo-Spectral Method for a Class of Optimal Control Problems

2015 ◽  
Vol 48 (14) ◽  
pp. 253-258 ◽  
Author(s):  
Vadim Azhmyakov ◽  
Moustafa Shamsi ◽  
Luz Adriana Guzman Trujillo ◽  
Jaime Humberto Carvajal Rojas
Keyword(s):  
Optimal Control ◽  
Spectral Method ◽  
Optimal Control Problems ◽  
Control Problems ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral
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