List of publications on a keyword: «Lyapunov's direct method»
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Priamoi metod Liapunova i ego izlozhenie v sovremennom uchebnom protsesse
Book Chapter
Education and science: current trends- Authors:
- Olga G. Antonovskaia, Antonina V. Besklubnaia
- Work direction:
- Глава 1. Теоретические аспекты образования
- Abstract:
- The article is devoted to the problem of the full treatment of the subject “Construction of Lyapunov functions” in the “Lyapunov's direct method” section in the courses on system dynamics, differential equations, etc., for students of mathematical and technical specialties. The authors of the article point out that first of all Lyapunov function method is considered the method useful for studying dynamics of concrete technical systems by mathematical methods. Since for practical use of this method it makes sense to construct Lyapunov functions in simplest form, the methodology for constructing Lyapunov functions in positive definite quadratic forms with given properties, certain features of original problems is proposed by the authors.
- Keywords:
- professional activity of the trainee, fundamentals of education, professionally significant and practical goals of education, ability to construct models of real phenomena, mathematical methods of research, stability theory, Lyapunov's direct method, positive definite quadratic form, Lyapunov matrix equation