supported by Vicerrectoría de Investigación y Extensión of Universidad Industrial de Santander,Colombia,project 3704.
In this paper we study a bilinear optimal control problem for a diffusive Lotka-Volterra competition model with chemo-repulsion in a bounded domain of ℝ^(ℕ),N=2,3.This model describes the competition of two species in...
supported by National Natural Science Foundation of China(12071165 and 62076104);Natural Science Foundation of Fujian Province(2020J01072);Program for Innovative Research Team in Science and Technology in Fujian Province University,Quanzhou High-Level Talents Support Plan(2017ZT012);Scientific Research Funds of Huaqiao University(605-50Y 19017,605-50Y14040);supported by Ministry of Science and Higher Education of Russian Federation(075-15-2020-787,large scientific project"Fundamentals,methods and technologies for digital monitoring and forecasting of the environmental situation on the Baikal natural territory")。
This paper addresses a nonlinear partial differential control system arising in population dynamics.The system consist of three diffusion equations describing the evolutions of three biological species:prey,predator,a...
supported by the National Natural Science Foundation of China(11701214);Shandong Provincial Natural Science Foundation,China(ZR2019MA045).
This paper is concerned with a Pontryagin's maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables.By ...
In this article,we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model,which describes the interaction bet ween populations of prey and predator,and takes into account the economic int...
Natural selection opposes the evolution of cooperation unless specific mechanisms are at work in Prisoner's Dilemma. By taking advantage of the modern control theory, the controller design is discussed and the optima...
This article presents an efficient parallel processing approach for solving the opti- mal control problem of nonlinear composite systems. In this approach, the original high-order coupled nonlinear two-point boundary ...
supported by the National Natural Science Foundation of China(11471118,11401385 and 11371140);Natural Science Foundation of Hebei Province(A2015407063);Doctoral Foundation of Hebei Normal University of Science and Technology(2013YB008)
In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. ...
supported by National Natural Science Foundation of China(71171003);Anhui Natural Science Foundation(10040606003);Anhui Natural Science Foundation of Universities(KJ2012B019,KJ2013B023)
This article is concerned with a class of control systems with Markovian switching, in which an It5 formula for Markov-modulated processes is derived. Moreover, an optimal control law satisfying the generalized Hamilt...
We present in this paper a survey of recent results on the relation between time and norm optimality for linear systems and the infinite dimensional version of Pontryagin's maximum principle. In particular, we discus...
supported by the National Basic Research Program of China (973 Program, 2007CB814904);the National Natural Science Foundations of China (10921101);Shandong Province (2008BS01024, ZR2010AQ004);the Science Funds for Distinguished Young Scholars of Shandong Province (JQ200801);Shandong University (2009JQ004),the Independent Innovation Foundations of Shandong University (IIFSDU,2009TS036, 2010TS060)
A stochastic maximum principle for the risk-sensitive optimal control prob- lem of jump diffusion processes with an exponential-of-integral cost functional is derived assuming that the value function is smooth, where ...