Dissipative Control for T–S Fuzzy Stochastic Descriptor Biological Economic Systems with Time-Varying Delays

This paper addresses the dissipative control problem for a class of stochastic descriptor biological economic systems with time-varying delays. By introducing time-varying delays into the system where the economic profit is variable, a new stochastic descriptor biological economic system with time-varying delays is presented. Considering the nonlinearity of such systems, the fuzzy stochastic models are established via the Takagi–Sugeno (T–S) fuzzy control approach. And then, the T–S fuzzy stochastic models are transformed into the equivalent subsystems by restricted equivalent transformation. Through the subsystems, by using a novel delay-dependent Lyapunov–Krasovskii functional, the new sufficient condition is obtained to enable the considered systems to be mean-square admissible and stochastic strictly dissipative. Furthermore, the fuzzy state feedback controller is designed to ensure the population and price are stable by the regulation control for the biological resource. In the end, simulation examples are given to illustrate the effectiveness of the proposed control design method.