{'fraction_non_alphanumeric': 0.039445628997867806, 'fraction_numerical': 0.0021321961620469083, 'mean_word_length': 5.612676056338028, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Linear Parameter-Varying State-Delay (LPVSD) Systems: Stability and L2-Gain Controllers

In this article, we investigate a class of linear parameter-varying state-delay (LPVSD) systems where the state-space matrices depend on time-varying parameters and the time-delay is unknown but bounded. We treat both notions of quadratic stability (using a single quadratic Lyapunov-Krasovskii function) and affine quadratic stability (using parameter-dependent Lyapunov-Krasovskii functions). In both cases, we develop LMI-based delay-independent and delay-dependent conditions for stability testing. Then, we design state-feedback controllers which guarantee quadratic stability and an induced L2-norm bound. For the case of dynamic output feedback control, we use a parameter-independent quadratic Lyapunov-Krasovskii function to develop LMI-based solvability conditions which are evaluated at the extreme points of the admissible parameter set.