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The finite horizon <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> control problem is investigated for a class of discrete nonlinear time-varying systems subject to Weighted Try-Once-Discard communication protocol. The equations of state and output under investigation involve both deterministic and stochastic nonlinearities. By resorting to the Taylor series expansion formula, Lyapunov stability theory and cross-amplification lemma, sufficient conditions are established for the existence of the desired observer-based <inline-formula> <tex-math notation="LaTeX">$\text{H}\infty $ </tex-math></inline-formula> controller. The gain matrices of the controller and observer are obtained by solving a set of recursive linear matrix inequalities.

Finite Horizon H-Infinity Control of Nonlinear Time-Varying Systems Under WTOD Protocol