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Статья
2019

Total Poisson Boundedness of Solutions of \({\cal P}\)-Perturbed Complex Systems of Differential Equations


K. S. LapinK. S. Lapin
Русская математика
https://doi.org/10.3103/S1066369X19100074
Abstract / Full Text

We introduce the concepts of \({\cal P}\)-perturbed system and, in particular, \({\cal P}\)-perturbed complex system. Based on the method of Lyapunov functions, we obtain the sufficient condition of total Poisson boundedness of solutions to the \({\cal P}\)-perturbed system with respect to any linear system with constant coefficients. Based on the method of vector Lyapunov functions and the above-stated condition, we obtain sufficient conditions of total Poisson boundedness of solutions to the \({\cal P}\)-perturbed complex system and solutions to the \({\cal P}\)-perturbed complex system with feedback loop.

Author information
  • Mordovian State Pedagogical Institute named after M.E. Evseviev, 11A Studencheskaya str., Saransk, 430007, RussiaK. S. Lapin
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