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Побудова експоненціальної оцінки, як розв’язок нелінійної системи із запізненням на основі нерівності Хейла – Лунелла
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УДК: 517.929
Мова публікації: Українська
Stuc. intelekt. 2013; 18; (3):372-375
Анотація: In this paper proposed constructing estimates method for exponential type solutions nonlinear systems with time delay. Valuations construction of this system is actual because attention in branch of system medical research is devoted to study problems, that describe by nonlinear systems.
Keywords: nonlinear system, time delay
Посилання:
- Martsenyuk V.P. The exponential solution of linear estimation of stationary systems with delay as a solution of the difference equation / V.P. Martsenyuk, N.M. Gandzyuk //Tauride Bulletin of Informatics and Mathematics. – 2012. – № 2. – С. 55-64.
- Martsenyuk V.P. Method of construction of stability estimate for compartmental model with time delay / V.P. Martsenyuk, N.M. Gandzyuk // Cybernetics and Systems Analysis. – 2013. – № 1. – С. 96-102.
- Wang T. Exponential stability and inequalities of solutions of abstract functional differential equations / T. Wang // J. of Mathemat. Analysis and Appl. – 2006. – Vol. 324, Issue 2. – P. 982-991.
- Martsenyuk V.P. Construction of exponential estimates for compartmental system with distributed delays: an approach based on Hale – Lunell inequality / V.P. Martsenyuk, N.M. Gandzyuk // Cybernetics and Systems Analysis. – 2013. – № 3. – С. 26-31.