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Valley-Hall topological plasmons in a graphene nanohole plasmonic crystal waveguide
摘要： In this paper, we first formulate the confinement-escape problem of a defender and an evader who attempts escaping from a circular region, which differs from the traditional pursuit-evasion problems. In our setting of the confinement-escape problem, the defender is restricted to move and patrol on the circle, trying to prevent possible escape of the evader who is initially located inside the circle. We describe and characterize some general properties of the problem, and then design two bio-inspired control strategies for the evader and the defender, respectively. In addition, we illustrate some possible motion patterns of the system, investigate the escaping time as a function of the relative-initial-positions of the agents, as well as the winning sets of the two players, respectively, under different system-parameters. To that end, we characterize the contour lines of the winning sets with their gradient properties. Finally, we indicate the abrupt phase transitions between successful confinement and escaping, revealing the strong sensitivity and nonlinearities of the system under critical conditions.
关键词： Confinement-escape problem,pursuer-evader,evader,defender,pursuit-evasion,phase transition,patrolling
更新于2025-09-23 15:21:01
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Lateral Size-dependence in UHF Mode-coupled ZnO FBARs to Suppress Undesirable Eigen-modes and Weaken Mounting Effect
摘要： In this paper, we investigate some mathematical properties of the con?nement-escape problem of a defender and an evader with respect to a circular region, which was proposed in the author’s previous work. Initially, the evader is located inside the circle, defender patrols on the circle and tries to seal the circle to prevent the evader’s escape; while the evader attempts to escape with avoidance of the defender. Here, we adopt the same control laws of the agents and consider particularly the successful-escape conditions which ensure a monotone-increasing distance (MID) between the defender and the evader as the system evolves, for abbreviation, we call it the escape with the MID to the defender, or simply the MID escape. Then, we: 1) provide some suf?cient conditions for the MID escape under different situations; 2) provide the corresponding upper-limit estimations of the escape time; and 3) discuss the characteristics of the analytical results.
关键词： motion pattern,Con?nement,pursuer-evader,pursuit-evasion,patrolling,escape
更新于2025-09-23 15:19:57
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[IEEE 2019 44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz) - Paris, France (2019.9.1-2019.9.6)] 2019 44th International Conference on Infrared, Millimeter, and Terahertz Waves (IRMMW-THz) - High Responsivity and Low NEP of Room-Temperature Terahertz Antenna-Coupled Microbolometers with Meander Titanium Thermistor
摘要： In this paper, we first formulate the confinement-escape problem of a defender and an evader who attempts escaping from a circular region, which differs from the traditional pursuit-evasion problems. In our setting of the confinement-escape problem, the defender is restricted to move and patrol on the circle, trying to prevent possible escape of the evader who is initially located inside the circle. We describe and characterize some general properties of the problem, and then design two bio-inspired control strategies for the evader and the defender, respectively. In addition, we illustrate some possible motion patterns of the system, investigate the escaping time as a function of the relative-initial-positions of the agents, as well as the winning sets of the two players, respectively, under different system-parameters. To that end, we characterize the contour lines of the winning sets with their gradient properties. Finally, we indicate the abrupt phase transitions between successful confinement and escaping, revealing the strong sensitivity and nonlinearities of the system under critical conditions.
关键词： Confinement-escape problem,phase transition,evader,pursuer-evader,defender,patrolling,pursuit-evasion
更新于2025-09-19 17:13:59
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Coyote Optimization Algorithm-Based Approach for Strategic Planning of Photovoltaic Distributed Generation
摘要： In this paper, we investigate some mathematical properties of the con?nement-escape problem of a defender and an evader with respect to a circular region, which was proposed in the author’s previous work. Initially, the evader is located inside the circle, defender patrols on the circle and tries to seal the circle to prevent the evader’s escape; while the evader attempts to escape with avoidance of the defender. Here, we adopt the same control laws of the agents and consider particularly the successful-escape conditions which ensure a monotone-increasing distance (MID) between the defender and the evader as the system evolves, for abbreviation, we call it the escape with the MID to the defender, or simply the MID escape. Then, we: 1) provide some suf?cient conditions for the MID escape under different situations; 2) provide the corresponding upper-limit estimations of the escape time; and 3) discuss the characteristics of the analytical results.
关键词： motion pattern,Con?nement,pursuer-evader,pursuit-evasion,patrolling,escape
更新于2025-09-16 10:30:52