Z-Type Model for Real-Time Solution of Complex ZLE

A Z-type model for real-time solution of complex ZLE (i.e., complex-valued Zhang linear equation or termed complex-valued time-varying linear equation) is proposed and analyzed in this paper. Different from conventional G-type model, such a Z-type model utilizes adequately the first-order time-derivative information of time-varying coefficients, and eliminates a predefined vector-valued error function rather than a scalar-valued error function to zero. The state vector of such a Z-type model globally and exponentially converges to the unique theoretical time-varying solution-pair of complex ZLE. Computer-simulation results further verify and illustrate the effectiveness, efficiency and novelty of the proposed Z-type model.