Computational methods for modelling of nonlinear systems

摘要: Preface Contents 1 Overview I Methods of Operator Approximation in System Modelling 2 Nonlinear with Preassigned Accuracy 2.1 Introduction 2.2 Generic formulation the problem 2.3 approximation space C([0 1]): 2.4 Banach spaces by polynomial operators 2.5 on compact sets topological vector 2.6 noncompact Hilbert 2.7 Special results for maps into 2.8 Concluding remarks 3 Interpolation Operators 65 3.1 3.2 Lagrange interpolation 3.3 Weak nonlinear 3.4 Some related 3.5 4 Realistic and their 4.1 4.2 Formalization concepts to description real-world objects 4.3 R continuous 4.4 5 Best 5.1 5.2 spaces: Deterministic case 5.3 Estimation mean covariance matrix random vectors 5.4 Hadamard-quadratic 5.5 5.6 causal 5.7 hybrid approximations 5.8 II Optimal Random Vectors 6 Computational Filtering Stochastic Signals 6.1 6.2 linear Finite dimensional 6.3 6.4 piecewise constant memory 6.5 arbitrarily variable 6.6 no constraint 6.7 7 Compression Reconstruction Data 7.1 7.2 Standard Principal Component Analysis Karhunen-Loeeve transform (PCA{KLT) 7.3 Rank-constrained 7.4 PCA{KLT 7.5 based 7.6 formed a combination 7.7 generalized 7.8 Bibliography Index