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- W2549114781 abstract "In contrast to traditional description methods of the dynamical systems in Euclidean space, in this paper, the dynamical systems are characterized in the hyperbox space. First, the concept of hyperbox space is proposed. The “elements” in the hyperbox space are “hyperboxes” different from the ones are “points” in Euclidean space. Second, the method for constructing the hyperbox space is proposed. For quantitative description the movement of dynamical system in Hyperbox space, the interval vector is used to represent the hyperbox. Third, the hyperbox state variable and hyperbox state equation are defined, respectively. Different from the real-valued outputs of traditional state equation, the outputs of the proposed hyperbox state equation are interval numbers. Using the defined hyperbox state equation, the dynamical systems are modeled in the hyperbox space. Then, the criterion for evaluating the modeling performance is defined. At last, a numerical simulation example is given. The simulation results demonstrate the feasibility and effectiveness of the proposed methodology." @default.
- W2549114781 created "2016-11-30" @default.
- W2549114781 creator A5084533701 @default.
- W2549114781 date "2016-07-01" @default.
- W2549114781 modified "2023-09-25" @default.
- W2549114781 title "A methodology for the description of dynamical systems in hyperbox space" @default.
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- W2549114781 doi "https://doi.org/10.1109/fuzz-ieee.2016.7737889" @default.
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