Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations

By Ivanka M. Stamova. 2007

53 citations recorded by the source corpus.

This paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations. The obtained results are based on the method of vector Lyapunov functions and on differential inequalities for piecewise continuous functions. Examples are given to illustrate our results.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/801709b0542b2e98695d81c8e5961013fa6c2723

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In Applied Mathematics

1. Ning Sun
2. Zhiliang Wang
3. Tiedong Ma
4. Dongsheng Yang

In Control and Systems Engineering

1. Ning Sun
2. Zhiliang Wang
3. Tiedong Ma
4. Dongsheng Yang

Citations in the corpus

• Stability analysis for nonlinear fractional-order systems based on comparison principle (2014, methodology): “Motivated by the two questions and inspired by the success of the comparison principles and the vector Lyapunov functions for integer-order systems [43–47], in this paper, we develop a theoretical framework under which the stability analysis and stabilization controller design for nonlinear fraction”