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Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

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Autotaxin (ATX) is the dominant catalytic enzyme accounting for the lipid mediator lysophosphatidic acid (LPA) through hydrolysis of lysophosphatidylcholine (LPC). There is great interest in developing nonacidic ATX inhibitors with a specific binding mode to serve as potential in vivo effective therapeutic tools. Herein, dating from a high-throughput screening (HTS) product Indole-1 (740 nM), a dedicated optimization campaign was implemented through derivatizing the −COOH group to versatile linkers that well-bridged the indole skeleton and the hydrophobic pocket binding groups. Ultimately, it was established that the coexistence of a carbamate linker and −OH-group-containing amines could generally furnish excellent indole-based ATX inhibitors with even below 1 nM in vitro activities. Two optimal entities were advanced to a bleomycin-induced mice pulmonary fibrosis model, which exerted promising efficacy in alleviating the damaged lung texture caused by bleomycin exposure. The novel carbamate-containing indole-based ATX inhibitors with a concrete binding mode may contribute to the identification of potential therapeutic agents to intervene in fibrotic diseases.