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Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with
Tengyu Ma1,2, Longsuo Li1
11Department of Mathematics, Harbin Institute of Technology, Harbin, China.
Journal of Inequalities and Applications
|March 7, 2019
Summary
This study analyzes robust stability for uncertain neutral stochastic nonlinear systems with time delays. New criteria using linear matrix inequality (LMI) were developed for controller design, enhancing system stability analysis.
Area of Science:
- Control Systems Engineering
- Nonlinear Dynamics
- Stochastic Systems Analysis
Background:
- Robust stability analysis is crucial for complex systems.
- Time delays and stochastic uncertainties introduce significant challenges.
- Neutral stochastic nonlinear systems require advanced analytical techniques.
Purpose of the Study:
- To develop robust stability criteria for uncertain neutral stochastic nonlinear systems with time delays.
- To design a controller ensuring system stability under uncertainty.
- To generalize existing stability analysis methods for broader applicability.
Main Methods:
- Utilizing a modified Lyapunov-Krasovskii functional.
- Employing the free-weighting matrices technique.
- Establishing delay-dependent criteria expressed via linear matrix inequality (LMI).
Main Results:
- New delay-dependent criteria for robust stability were derived.
- The proposed method extends stability analysis to uncertain neutral stochastic systems.
- The inclusion of a time-delay derivative term broadens the applicability of the scheme.
Conclusions:
- The developed criteria effectively address robust stability for the studied systems.
- The controller design contributes to enhanced system reliability.
- Numerical examples validate the efficacy of the theoretical results.
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