The groundbreaking work of Russian mathematician A. M. Liapunov (1857–1918) on the stability of dynamical systems was overlooked for decades because of political turmoil. During the Cold War, when it was discovered that his method was applicable to the stability of aerospace guidance systems, interest in his research was rekindled. It has remained high ever since.This
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Multiple Lyapunov functions and other analysis tools for switched
Liapunov functions and stability in control theory. Second edition
Lyapunov, considerably anticipated the time for its implementation in science and technology.
Theory and application of liapunov's direct method; oscillations in nonlinear systems; and nonlinear problems.
And apply lyapunov's direct method to prove these stability properties, and develop a nonlinear 3-axis attitude pointing control law using lyapunov theory.
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(equilibrium points are considered here at the origin to make it simpler to apply the construction with.
It is well known that lyapunov's stability theory [40] is one of the most fundamental pillars in control theory.
The proposed lyapunov-based control theory can 2017 the ninth international conference on future computational technologies and applications.
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(2017) convex lyapunov functions for stability analysis of fractional order systems.
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5 jun 2007 we will use the following standard definition of different types of stability.
Numerical examples confirm the obtained theoretical results of the properties of the constructed difference schemes.
□ define state use the above to obtain state– space model (nonlinear, time benefits of the lyapunov theory.
School of notation using simple examples of dynamical system benefits of the lyapunov theory.
Ducard c 2 / equilibrium is acceptable for technical applications.
Existence of liapunov functions (converse liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control.
Methodology over standard lyapunov theory through examples from three differ- ent classes of dynamical systems.
We introduce multiple lyapunov functions as a tool for analyzing lyapunov stability and use iterated function systems theory as a tool for lagrange stability.
Modern control theory without such notions as lyapunov stability,.
This anniversary inspires to think about the way theory and applications have developed during this century.
Work realised in the scope of project titled ''design and application of noninteger order lyapunov stability theory is very important in nonlinear systems.
Abstract−the simplified mathematical model of the permanent magnet linear motor is developed in this paper.
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