Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors | Zendy

Manuel De la Sen | Zendy

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Oscillatory Behavior in Linear Difference Equations under Unmodeled Dynamics and Parametrical Errors

Author(s) -

Manuel De la Sen

Publication year - 2007

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2007/25692

Subject(s) - mathematics , oscillation (cell signaling) , dynamics (music) , conjugacy class , control theory (sociology) , order (exchange) , mathematical analysis , current (fluid) , physics , computer science , pure mathematics , control (management) , genetics , finance , artificial intelligence , acoustics , economics , biology , thermodynamics

This paper investigates the presence of oscillating solutions in time-varying difference equations even in the case when there exist parametrical errors (i.e., errors in the sequences defining their coefficients) and/or unmodeled dynamics, namely, the current order is unknown and greater than the nominal known order. The formulation is related to the concepts of conjugacy, disconjugacy, positivity, and generalized zeros and general conditions of oscillation are obtained both over particular intervals and for the whole solution. Some results concerned with the presence of stable oscillations are also presented.

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