Near-Optimality in Stochastic Control of Predator-Pray System with Markov Switching

Xi Ning Li; Dong Mei Wei

doi:10.4028/www.scientific.net/AMR.694-697.2153

Paper Titles

Design and Application of Self-Adaptive Controller Based on Q Series PLC
p.2134

Design of Combustion Scheduling Simulating Control System on Marine Auxiliary Boiler
p.2139

Improved Control Strategy of Grid Side Rectifier for the Double-Fed Wind Power System
p.2143

Intelligent Vehicle Control System Based on LED
p.2149

Near-Optimality in Stochastic Control of Predator-Pray System with Markov Switching
p.2153

Nonlinear System Control Strategies
p.2157

Research of Thermal Insulation Control for Underwater Storage of High Pour Point Crude Oil
p.2162

Synchronization between Two Different Fractional Order Hyperchaotic Systems
p.2168

The Development of DSP-Based FFU Motor Digital Variable Frequency Control System
p.2172

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 694-697Near-Optimality in Stochastic Control of...

Near-Optimality in Stochastic Control of Predator-Pray System with Markov Switching

Abstract:

In this paper, we introduce a stochastic predator-pray system with Markov switching. We establish the necessary conditions of near-optimal control for this system. The proof of the main results are based on Ito's formula, Ekeland's variational principle and some estimates on the state and the adjoint process with respect to the control variable.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 694-697)

Pages:

2153-2156

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.694-697.2153

Citation:

Cite this paper

Online since:

May 2013

Authors:

Xi Ning Li, Dong Mei Wei

Keywords:

Ekeland's Variational, Markov Switching, Near-Optimal, Necessary Conditions, Stochastic Predator-Pray System

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] C.Zhao, P.Zhao, M.S. Wang, Optimal harvesting for nonlinear age-dependent population dynamics. Mathematical and Computer Modelling. 310-319 (2006) 43.

DOI: 10.1016/j.mcm.2005.06.008

Google Scholar

[2] S.Anita, Analysis and control of age-dependent population synamics, Kluwer Academic Publishers. Dordrecht. (2000).

Google Scholar

[3] J.Wang, K.Wang, Optimality control of harvesting for single population, Appl.Math.Compu. 235-247 (2004) 156.

Google Scholar

[4] L.Mi, Q.M. Zhang, Convergence of the Euler Scheme to a stochastic competitive age-structured population system, Fourth International Conference on Intelligent Computation Technology and Automation, Shenzhen, Guangdong China, 83-86 (2011).

DOI: 10.1109/icicta.2011.28

Google Scholar

[5] Q.M. Zhang. The numerical solutions for stochastic age-dependent capital system with Markovian switching. Journal of ecmode. (2010).

Google Scholar

[6] X.Li, J.Huang, G. Wang, Near-optimal control problems for linear forward-backward stochastic system, Constants Lists available at Science Direct. (2009).

Google Scholar

[7] K.Bahlali, Necessary and sufficient conditions for near-optimality in Stochastic control of FBSDEs, System Control Letters, 857-864 (2009) 58.

DOI: 10.1016/j.sysconle.2009.10.005

Google Scholar

[8] X.Y. Zhou. Necessary and sufficient conditions for near-optimality, STAM. J. Control Optim. 36 (1998) 917-929.

Google Scholar