论文标题
非自主半抛物线抛物线方程
Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations
论文作者
论文摘要
非自主半线性抛物线方程的全状态的估计是通过Luenberger型动力学观察者实现的。估计得出源自该州在小区域的平均测量数量有限的输出。随着时间的增加，观察者给出的状态估计将指数成倍收敛于实际状态。结果是半光滑的，从某种意义上说，可以使误差动态对于任意给定的初始条件稳定，前提是采取足够数量的测量，具体取决于初始条件的规范。输出注入操作员是明确的，涉及合适的斜射投影。给出了数值模拟的结果，显示了误差动力学的指数稳定性。
The estimation of the full state of a nonautonomous semilinear parabolic equation is achieved by a Luenberger type dynamical observer. The estimation is derived from an output given by a finite number of average measurements of the state on small regions. The state estimate given by the observer converges exponentially to the real state, as time increases. The result is semiglobal in the sense that the error dynamics can be made stable for an arbitrary given initial condition, provided a large enough number of measurements, depending on the norm of the initial condition, is taken. The output injection operator is explicit and involves a suitable oblique projection. The results of numerical simulations are presented showing the exponential stability of the error dynamics.
