Abstract
In this chapter, we deal with CT-LTV systems subject to uncertainties; it is assumed that the uncertain part can be modeled according to the classical linear fractional transformation (LFT) form, which covers many cases of practical interest. The concept of quadratic FTS (QFTS) is introduced; QFTS implies the existence of a quadratic Lyapunov function that allows us to prove the FTS of the given system for all admissible uncertainties. The main result of the chapter is a necessary and sufficient condition for QFTS in terms of either DLMIs or DLEs; then synthesis conditions are derived.
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Notes
- 1.
For the sake of brevity, in the DLMI, we will omit the time argument and the lower triangular entries of the symmetric matrices and replace them with dots.
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Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., De Tommasi, G. (2014). Robustness Issues. In: Finite-Time Stability and Control. Lecture Notes in Control and Information Sciences, vol 453. Springer, London. https://doi.org/10.1007/978-1-4471-5664-2_4
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DOI: https://doi.org/10.1007/978-1-4471-5664-2_4
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