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This is a Quantitative Study study.

Liapunov Exponents and Control Theory-Based Stability Analysis and Parameter Optimization Technique for Dynamical Systems with Periodic Variable Coefficients

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This analysis integrates lyapunov exponents and floquet theory to optimize stability in dynamical systems with variable coefficients.

The research establishes a methodology that utilizes lyapunov exponents in conjunction with floquet theory.
A framework for stability analysis is developed, demonstrating its effectiveness with modular multilevel dc voltage regulators.
Control techniques developed can optimize fractional-order systems, enhancing their robustness and performance.
Numerical examples substantiate the proposed method's efficacy in addressing stability issues in systems with periodic variable coefficients.

Fu et al. (2025) studied this question.

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