Firstly, the development history of UV control was summarized, and research status of differential geometry decoupling control of nonlinear system, in which included basic conception, theorem and some propositions and conclusions.
Through the in-depth study of the differential geometrical relationship between the 2D graph and 3D graph,the shape of the 3D workspace surface was obtained by enveloping the boundary curve of every layer along the z-axis direction.
The concept of the hidden dynamics (HD) was proposed for the first time, and it was proved that the HD is equivalent to the zero dynamics (ZD) of the differential geometric theory of nonlinear control.
The problem of the nonlinear decoupling control is discussed. By means of nonlinear state feedback, the affine nonlinear MIMO systems may be decoupled into some SISO systems, using the differential geometric theory.
Using some elementary ideas from differential geometry, we provide a unified approach for handling a variety of problems of local prior influence.
The geodesic in differential geometry is commonly used in computer-aided filament winding (CAFW) to avoid slippage in manufacturing process.
We also discuss some connections with problems arising in differential geometry.
In the framework of the thermodynamics of irreversible processes and using a graphical approach based on the simple theorems of differential geometry, a generic phenomenological treatment of the glass transition is developed.
Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations
The differential geometrical structure is used as the framework of the whole inference and spatial statistical description with adaptive attribute is embedded in the corresponding nonlinear functional space.
Differential geometrical method in elastic composite with imperfect interfaces
A differential geometrical method is for the first time used to calculate the effective moduli of a two-phase elastic composite matarials with imperfect interface which the inclusions are assumed to be ellipsoidal of revolutions.
This paper is a detailed differential geometrical study of chemically reacting systems.
By using a differential geometrical setup we show how the derivation of consistent- and covariant Schwinger terms can be understood on an equal footing.