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Distributed containment for a class of stochastic nonlinear multi-agent systems

This paper studies the almost sure containment via time-varying feedback for a class of stochastic nonlinear multi-agent systems. The systems in question allow serious unknowns in the nonlinearities and control coefficient. For this, a time-varying gain is incorporated to compensate the serous unknowns, where the key idea is to introduce an increasing function which is only dependent on time such that the serious unknowns are captured as time increases. Based on this, a distributed time-varying protocol is designed to achieve the almost sure containment. A simulation example is provided to illustrate the effectiveness of the theoretical results.