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and Applied Analysis 3 will be denoted by normal letters; R denotes the real n-dimensional Euclidean space; ‖ · ‖ denotes the Euclidean norm; θ k ∈ l2 0,N means ∑N k 0 θ T k θ k < ∞; the superscripts “−1” and “T” stand for the inverse and transpose of a matrix, resp.; I is the identity matrix with appropriate dimensions; For a real matrix, P > 0 P < 0,(More)
An important extension to the techniques of synchronization-based parameter estimation is presented. Based on adaptive chaos synchronization, several methods are proposed to dynamically estimate multiple parameters using only a scalar chaotic time series. In comparison with previous schemes, the presented methods decrease the cost of parameter estimation(More)
Torque coordination control significantly affects the mode transition quality during the mode transition dynamic process of hybrid electric vehicles (HEV). Most of the existing torque coordination control methods are based on the mechanism model, whose control effect heavily depends on the modeling accuracy of the HEV powertrain. However, the powertrain(More)
and Applied Analysis 3 Theorem 2.1. Assume that 1.4 holds, 0 ≤ p t ≤ p1 < 1. If for some function ρ ∈ C1 t0,∞ , 0,∞ , for all sufficiently large t1 ≥ t0 and for t3 > t2 > t1, one has lim sup t→∞ ∫ t t3 ⎛ ⎜⎝ρ s q s (1 − p τ s ) ∫τ s t2 (∫v t1 1/a u du/b v ) dv ∫s t1 1/a u du − a s ( ρ′ s )2 4ρ s ⎞ ⎟⎠ds ∞, 2.1 ∫∞
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