Periyodik Katsayılı Lineer Fark Sistemlerinin Fark Asimtotik Kararlılığı Üzerine Elde Edilmiş Sonuçlar

Yıl 2005, Cilt: 1 Sayı: 26, 59 - 62, 01.06.2005

Kemal Uslu

Öz

Periyodik sistemler için fark asimtotik kararlılık ve pratik fark asimtotik kararlılık önemli bir problemdir. Bu çalışmanın ana amacı böyle sistemlerin fark asimtotik kararlılığı ile ilgili bazı sonuçlar elde etmektir.

Anahtar Kelimeler

Fark asimtotik kararlılık, periyodik katsayılı lineer fark sistemleri, Lyapunov metodları

Obtained Results on the Discrete Asymptotic Stability of Linear Discrete Systems with Periodic Coefficients

Öz

It is very important problem for periodic systems that they are discrete asymptotically stable or practical discrete asymptotically stable. Main goal of this study is to obtain some results related to discrete asymptotic stability of such systems.

Anahtar Kelimeler

Discrete asymptotic stability, Linear difference systems with periodic coefficients, Lyapunov methods

Kaynakça

• 1. Uslu K. "The Calculation Of Stability Parameters of the Linear Discrete-Time Systems with Periodic Coefficients", Ph.D. Thesis, Selcuk University, Konya (2004).
• 2. Elaydi S.N. "An Introduction to Difference Equations", Springer-Verlag, New York (1996).
• 3. Aydın K., Bulgak H., Demidenko G. V. "Numeric characteristics for asymptotic stability of solutions to linear difference equations with periodic coefficients ", Siberian Math. J., 41, No.6, 1005-1014, Novosibirsk, (2000).
• 4. Akın O., Bulgak H. "Lineer Difference Equations and Stability Theory" [in Turkish], Selcuk Univ. Research Centre of Applied Mathematics, Konya (1998).