Exponential Stability of Linear Discrete Systems with Multiple Delays. (1st August 2018)

• Record Type: Journal Article
• Authors: Baštinec, J.; Demchenko, H.; Diblík, J.; Khusainov, D. Ya.
• Other Names: Candito Pasquale Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-08-01
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/9703919
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delaysx k + 1 = A x k + ∑ i = 1 s B i x k - m i, k = 0, 1, …, wheres ∈ N, A andB i are square matrices, andm i ∈ N . New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.