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By employing the FTB theory and some properties of ABC fractional derivative, and some basic mathematical transformations, we derive new conditions for the FTB and FTSB problems of ABC fractional-order nonlinear interconnected systems. These conditions are formed in linear matrix inequalities (LMIs), which can be effectively solved using the MATLAB LMI Control Toolbox. Finally, two numerical examples with simulations are provided to illustrate the efficiency of the proposed method.<\/jats:p>","DOI":"10.1177\/01423312221142107","type":"journal-article","created":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T06:22:58Z","timestamp":1673418178000},"page":"1738-1746","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["Finite-time boundedness and finite-time stabilization boundedness for nonlinear interconnected systems with Atangana\u2013Baleanu\u2013Caputo fractional derivative"],"prefix":"10.1177","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2028-3784","authenticated-orcid":false,"given":"Dinh Cong","family":"Huong","sequence":"first","affiliation":[{"name":"Institute of Engineering and Technology, Thu Dau Mot University, 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