2022
DOI: 10.3390/app12041991
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Almost Anti-Periodic Discrete Oscillation of General N-Dimensional Mechanical System and Underactuated Euler-Lagrange System

Abstract: In this paper, we introduce the notions of the almost anti-periodic discrete process of the N-dimensional vector-valued and N×N matrix-valued functions. Some basic properties of the almost anti-periodic discrete functions are established. Based on this, the conditions of the stability and instability of the almost anti-periodic solutions to the general N-dimensional mechanical system and the underactuated Euler–Lagrange system have been considered. Moreover, some examples are provided to support our obtained r… Show more

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Cited by 3 publications
(1 citation statement)
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“…The rapid progress of the software based designing tool and hardware technologies always requires the proper mathematical analysis to make it effective and sophisticated. Mathematical analysis is not only important for the dynamical mechanical system but also important for the suspended mechanical system [1]. The key parameters for the modeling of any type of mechanical system are kinematical constrains.…”
Section: Introductionmentioning
confidence: 99%
“…The rapid progress of the software based designing tool and hardware technologies always requires the proper mathematical analysis to make it effective and sophisticated. Mathematical analysis is not only important for the dynamical mechanical system but also important for the suspended mechanical system [1]. The key parameters for the modeling of any type of mechanical system are kinematical constrains.…”
Section: Introductionmentioning
confidence: 99%