We show how to design them such that they are sufficiently regular (not continuous but L∞) We then establish closed-loop stability, regularity of control, and regularity of solutions of the PDE.
We then establish closed-loop stability, regularity of control, and regularity of solutions of the PDE.
Due to the existence of boundary layer or interior layer for the state and adjoint state as well as limited regularity of control variable, we derive a posteriori error estimates for the state and adjoint state, which can be utilized to guide the mesh refinements in the adaptive algorithm.
This paper discusses the reservoir space in carbonate rocks in terms of types, combination features, distribution regularity, and controlling factors, based on core observations and tests of the North Truva Oilfield, Caspian Basin.
It gives a classification of the carbonate reservoirs according to the features of their reservoir space, describes their physical property features, and analyzes the distribution and combination regularity and controlling factors of different types of carbonate reservoirs.
The problem of robust global regularity and controllability is considered in Takagi Sugeno (TS) fuzzy descriptor control systems with structured parametric uncertainties.
Some topics for this kind of equations, such as existence and regularity, stability and control problems, have been investigated by many mathematicians; see [11 16] for example.
To improve pore regularity and to control the thickness of the final porous masks, we have anodized the aluminum film in two steps [3].
Choudhury and Choudhury [10] investigated how oxygen vacancies and cationic Ce3+ defects in ceria affect the band gap property by changing its structural regularity and then control its visible luminescence.
Listen to the regularity of the control of Tennyson's pentameter lines from the opening of his short poem "Ulysses,".
