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In this chapter we explore the application of Lyapunov techniques in the stability analysis of switched linear systems. The direct Lyapunov method is investigated through the concept of common Lyapunov function and converse Lyapunov theorems are established, relying on the notion of universal class of Lyapunov functions.

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Direct and Converse Lyapunov Techniques

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  • 发表日期：

    2025年

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  • Yacine Chitour,
  • Paolo Mason,
  • Mario Sigalotti

摘要

In this chapter we explore the application of Lyapunov techniques in the stability analysis of switched linear systems. The direct Lyapunov method is investigated through the concept of common Lyapunov function and converse Lyapunov theorems are established, relying on the notion of universal class of Lyapunov functions.