{'fraction_non_alphanumeric': 0.019404915912031046, 'fraction_numerical': 0.0, 'mean_word_length': 5.730434782608696, '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}}
On stability of switched time-delay systems subject to nonlinear stochastic perturbations

In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.