Journal of Global Optimization
ARMA model parameter estimation based on the equivalent MA approach
Digital Signal Processing
Improving the prediction and parsimony of ARX models using multiscale estimation
Applied Soft Computing
Digital Signal Processing
ARMAX modelling of international tourism demand
Mathematics and Computers in Simulation
A novel hybrid discrete differential evolution algorithm for blocking flow shop scheduling problems
Computers and Operations Research
A novel adaptive bilinear filter based on pipelined architecture
Digital Signal Processing
Two hybrid differential evolution algorithms for engineering design optimization
Applied Soft Computing
A differential evolution based neural network approach to nonlinear system identification
Applied Soft Computing
Self-adaptive differential evolution algorithm using population size reduction and three strategies
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on scalability of evolutionary algorithms and other metaheuristics for large-scale continuous optimization problems
Self-adaptive differential evolution with multi-trajectory search for large-scale optimization
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on scalability of evolutionary algorithms and other metaheuristics for large-scale continuous optimization problems
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on scalability of evolutionary algorithms and other metaheuristics for large-scale continuous optimization problems
Differential Evolution: A Survey of the State-of-the-Art
IEEE Transactions on Evolutionary Computation
Brief Optimal expansions of discrete-time Volterra models using Laguerre functions
Automatica (Journal of IFAC)
Nonlinear parametric models from volterra kernels measurements
Mathematical and Computer Modelling: An International Journal
Time series AR modeling with missing observations based on the polynomial transformation
Mathematical and Computer Modelling: An International Journal
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This paper presents a new modeling method for nonlinear dynamic systems based on using bilinear series model. Basically, bilinear model is an extension of infinite impulse response (IIR) filter and belongs to the recursive nonlinear system model, i.e., its past output signals will heavily affect the present output. This kind of model can efficiently approximate a large class of nonlinear systems with fewer parameters than other non-recursive models. To adjust the model kernels, we here adopt an evolutionary computation called the differential evolution (DE) algorithm. This algorithm is based on real-valued manipulations and has a good convergence property for finding the global solution or the near global solution of optimized problem. Design steps of DE-based nonlinear system modeling are clearly given in this study. Finally, two kinds of digital systems are illustrated to demonstrate the efficiency of the proposed method.