A. W. Phillips analyzed the stabilization policy for a multiplier-accelerator model [1] . Phillips’s stabilization problem is to design an endogenous policy rule capable of recovering the original ...
Abstract: The history of the fractional calculus goes back to approximately 300 years. In the recent years, it is common to come across fractional calculus in many publications of control systems. The ...
Abstract: The concept and properties of the impulse or delta function have been presented in many books and periodicals. However, when the impulse function arises in undergraduate courses dealing with ...
ABSTRACT: This paper provides a reformulation of Phillips’s multiplier-accelerator model with stabilization policy in terms of the Laplace transform. Applying the Laplace transform, the differential ...
Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...
Modeling is the single most important activity in mechatronic system design and this article focuses on some techniques and tools engineers can use to create mathematical models from the various ...
The definite integral $M(a)\coloneq \frac{4}{\pi}\int_{0}^{\pi /2}\frac{x^{2}dx}{x^{2}+\text{ln}^{2}(2e^{-a}\text{cos}x)}$ is related to the Laplace transform of the ...
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