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The paper addresses the problem of state estimation using the measurement output of a mobile pointwise sensor for a class of nonlinear distributed parameter systems, which are modeled by a scalar semi-linear parabolic partial differential equation. A Lyapunov-based co-design method is proposed for simultaneous design of the guidance law of the mobile sensor and the distributed-parameter Luenberger...
This paper addresses the boundary control design problem of a class of nonlinear distributed parameter systems described by a scalar semi-linear parabolic partial differential equation (PDE). A simple boundary controller design is developed under the domain-averaged measurement for the PDE system. The suggested controller is easily implemented since only a boundary actuator is utilized. Based on the...
This paper studies a fluid model driven by an M/M/1 queue with single exponential vacation. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial quadratic equation. Then the performance measure-mean buffer content which is independent of the vacation parameter, is obtained. Finally, using some numerical examples,...
In this paper, a delayed stage-structured predator- prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than...
Shear stress-strain model of unsaturated soil plays an important role in its constitutive law, and it is very interesting and not well solved. In this paper, deficiency of traditional hyperbolic model for unsaturated soil shear stress-strain relationship is analyzed by employing half-value-strength index (HVSI). A new model with 3 parameters for unsaturated soil shear stress-strain relationship is...
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