Velocity Gradient Method of Lyapunov Vector Functions

Mamyrbek A. Beisenbi, Aigul Sagymbai, Satybaldina Dana Karimtaevna, Nurgul Kissikova

2019

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DOI 10.1145/3312714.3312724
Data confidence 70 medium
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Abstract

In this paper, a new approach for constructing the Lyapunov function is considered. Lyapunov function is obtained as a vector function on the basis of the geometric interpretation of the Lyapunov's second method and, its antigradient is given by the velocity vector components (the right-hand side of the state equation) of the system. The stability area of a linear stationary control system is obtained in the simple inequalities form for the matrix elements of a closed system with indefinite parameters.