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Research of the Robust Stability of Control Systems Using a New Approach to the Lyapunov Functions Construction

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  • Gulzhan Uskenbayeva

Abstract

We investigate a new approach to the construction of vector Lyapunov functions. An approach to the construction of Lyapunov functions as vector functions is developed based on a geometrical interpretation of the second method of Lyapunov. The negative of the gradient is determined from the components of the time derivative of the state vector (i.e., the right-hand side of the state equation). The region of stability of a closed-loop linear, stationary system with uncertain parameters is governed by inequalities in the matrix elements of the closed-loop system. This study developed a method for analysing the robust stability of SISO and MIMO linear systems in canonical forms.

Suggested Citation

  • Gulzhan Uskenbayeva, 2015. "Research of the Robust Stability of Control Systems Using a New Approach to the Lyapunov Functions Construction," Modern Applied Science, Canadian Center of Science and Education, vol. 9(11), pages 176-176, October.
    • Handle: RePEc:ibn:masjnl:v:9:y:2015:i:11:p:176
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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