Object of research – monitoring of potentially dangerous objects (PNO); the aim of research – to increase the reliability of unmanned aerial vehicle (UAV) fleets of monitoring systems (MSs) for potentially dangerous objects (PDOs) by developing and implementing methods, tools and an information technology for ensuring the efficiency of these systems; research methods – systems analysis, reliability theory, survivability theory, graph theory, schedule theory, single- and multicriteria optimization, Markov analysis, combinatorics; results – the concept, principles, models, methods and information technology form a scientific and methodological apparatus to ensure the reliable operation of UAV fleets during the creation, operation and modernization of MSs for PDOs; novelty – for the first time, a methodology for ensuring the reliable operation of UAV fleets of MSs for PDOs, which allows developing a set of models and methods for ensuring the reliable operation of UAV fleets during the creation, operation and modernization of MSs for PDOs; for the first time, a method to ensure the reliable operation of UAV fleets of MSs for PDOs, which allows meeting the requirements for the reliability and survivability of the MSs in the post-accident period; for the first time, models of multi-version MSs for PDOs using UAVs, which allows making a choice of variants of the system structures, as well as to substantiate the requirements to its components; for the first time, analytical models of multi-purpose fleet reliability, which take into account two-level sliding redundancy variants and reserve UAV fleet activation schemes using control stations and allow increasing assessment accuracy of dependability and availability measures for the multi-purpose fleet; improved methods of planning the use of UAV fleets to monitor the specified areas and elements of the PDO infrastructure by taking into account the locations of UAV launch positions, automatic power recovery stations (APRS), as well as parameters that characterize the current state of the UAV; improved the method of ensuring the persistent operation of the flying wireless network of MSs for PDOs by taking into account the ways of interaction of different types of UAVs using APRS; improved models of survivability of UAV fleets and MSs for PDOs, which allow calculating the system probabilities of being in states with different levels of quality of its operation (degradation); implementation – the results were implemented at the National Aerospace University "Kharkiv Aviation Institute", the Kharkiv Subsidiary of the State Enterprise "State Scientific and Technical Center for Nuclear and Radiation Safety"; LLC Research and Production Enterprise "Radiks"; the Department of Civil Protection of the Kharkiv Regional State Administration; the National University of Civil Protection of Ukraine; LLC "Lis - Inform"; industry – enterprises, institutions and organizations that develop, modernize and operate MSs for PDOs, as well as executive authorities responsible for responding to accidents at the PDOs.