The Location of Zeros of Finite Exponential Series

Rhoten, Ronald P.; Aggarwal, J. K.

doi:10.1137/0120007

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Quasi-polynomials1

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2013

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“…is discussed in [17]). A numerical method for calculation of zeros of quasi-polynomials is proposed, for example, in [18].…”

Section: Quasi-polynomialsmentioning

confidence: 99%

Stability of Fractional Order Systems

Rivero

Rogosin

Machado

et al. 2013

Mathematical Problems in Engineering

116

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The theory and applications of fractional calculus (FC) had a considerable progress during the last years. Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems. Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along the literature, and it becomes difficult for researchers to have a complete and systematic picture of the present day knowledge. This paper is an attempt to overcome this situation by reviewing the state of the art and putting this topic in a systematic form. While the problem is formulated with rigour, from the mathematical point of view, the exposition intends to be easy to read by the applied researchers. Different types of systems are considered, namely, linear/nonlinear, positive, with delay, distributed, and continuous/discrete. Several possible routes of future progress that emerge are also tackled.

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“…is discussed in [17]). A numerical method for calculation of zeros of quasi-polynomials is proposed, for example, in [18].…”

Section: Quasi-polynomialsmentioning

confidence: 99%