Distributed Nash Equilibrium Seeking for Games in Systems With Bounded Control Inputs

Noticing that actuator limitations are ubiquitous in practical engineering systems, this article considers Nash equilibrium seeking for games systems where the control inputs bounded. More specifically, first-order integrator-type with bounded first considered and two saturated strategies designed to seek of game. Then, second-order further considered. In case, a centralized strategy is proposed without considering boundedness inputs, followed by distributed counterpart. By adapting saturation function into strategy, input addressed. strategies, consensus protocols included information sharing functions utilized construct inputs. The convergence results analytically studied Lyapunov stability analysis. Finally, connectivity mobile sensor networks, methods numerically verified.