In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructi...In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructing suitable Lyapunov functions as well as combining with Jensen inequality and Ito formula, the sufficient conditions are established and they are expressed in terms of the feasibility to a couple linear matrix inequalities （LMIs）. Finally, the main results are illustrated by examples.展开更多
基金The authors would like to thank the editors and reviewers for their valuable comments and constructive suggestions which improved the quality of the paper. This work is supported by the National Natural Science Foundation of China （Grant Nos. 11661054 and 11461053）.
文摘In this paper, a class of stochastic Lotka Volterra system with feedback controls is considered. The purpose is to establish some criteria to ensure the system is globally dissipative in the mean square. By constructing suitable Lyapunov functions as well as combining with Jensen inequality and Ito formula, the sufficient conditions are established and they are expressed in terms of the feasibility to a couple linear matrix inequalities （LMIs）. Finally, the main results are illustrated by examples.
