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- W2887443485 abstract "Present article deals with trajectorial intersections in linear fractional systems ('systems'). We propose a classification of intersections of trajectories in three classes viz. trajectories intersecting at same time(EIST), trajectories intersecting at distinct times(EIDT) and self intersections of a trajectory. We prove a generalization of separation theorem for the case of linear fractional systems. This result proves existence of EIST. Based on the presence of EIST, systems are further classified in two types; Type I and Type II systems, which are analyzed further for EIDT. Besides constant solutions and limit-cycle behavior, a fractional trajectory can have nodal or cuspoidal intersections with itself. We give a necessary and sufficient condition for a trajectory to have such types of intersections." @default.
- W2887443485 created "2018-08-22" @default.
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- W2887443485 date "2018-08-07" @default.
- W2887443485 modified "2023-09-27" @default.
- W2887443485 title "Analysis of intersections of trajectories of linear systems" @default.
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