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- W82009245 abstract "This chapter discusses the existence and continuity of Liapunov functions in general systems. Liapunov's original second method has been varied in the following ways: (1) with respect to regularity conditions imposed on the Liapunov function, and like continuity, differentiability, etc.; (2) with respect to the monotonicity condition, which can be replaced by weaker ones; and (3) with respect to the properties of the system under investigation, such as stability of various types, boundedness, etc. In addition, there has been a proliferation of ramifications of the original theory and very often one has so many requirements on the functions that one lose completely the notion of the exact role of each of the conditions." @default.
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- W82009245 date "1976-01-01" @default.
- W82009245 modified "2023-10-16" @default.
- W82009245 title "Existence and Continuity of Liapunov Functions in General Systems" @default.
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- W82009245 doi "https://doi.org/10.1016/b978-0-12-164902-9.50046-0" @default.
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