The problems of characteristic polynomial assignment in Fomasini-Marchesini (F-M) model Ⅱ of 2-D systems are investigated. The corresponding closed-loop systems described by F-M model II are obtained via the state fe...The problems of characteristic polynomial assignment in Fomasini-Marchesini (F-M) model Ⅱ of 2-D systems are investigated. The corresponding closed-loop systems described by F-M model II are obtained via the state feedback. Using the algebraic geometry method, the characteristic polynomial assignment in the dosed-loop systems is discussed. In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment is transferred to the one whether a rational mapping is onto. Sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial in F-M model Ⅱ of 2-D systems via state feedback are derived, and they are available for multi-input cases. It also has been shown that this method can be applied to assign the characteristic polynomial with output feedback. The sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial of multi-input 2-D systems described by F-M model Ⅱ with output feedback are established.展开更多
In this paper we consider a class of equations for the flow and magnetic field within the earth, for initial-boundary value problem, we prove existence of inertial sets and it's fractal dimension has been given, t...In this paper we consider a class of equations for the flow and magnetic field within the earth, for initial-boundary value problem, we prove existence of inertial sets and it's fractal dimension has been given, the squeezing rate to inertial sets from trajectory of absorbing set has been estimated.展开更多
文摘The problems of characteristic polynomial assignment in Fomasini-Marchesini (F-M) model Ⅱ of 2-D systems are investigated. The corresponding closed-loop systems described by F-M model II are obtained via the state feedback. Using the algebraic geometry method, the characteristic polynomial assignment in the dosed-loop systems is discussed. In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment is transferred to the one whether a rational mapping is onto. Sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial in F-M model Ⅱ of 2-D systems via state feedback are derived, and they are available for multi-input cases. It also has been shown that this method can be applied to assign the characteristic polynomial with output feedback. The sufficient conditions for almost arbitrary assignment coefficients of characteristic polynomial of multi-input 2-D systems described by F-M model Ⅱ with output feedback are established.
文摘In this paper we consider a class of equations for the flow and magnetic field within the earth, for initial-boundary value problem, we prove existence of inertial sets and it's fractal dimension has been given, the squeezing rate to inertial sets from trajectory of absorbing set has been estimated.
