What is most exciting about photonics, and silicon photonics in particular, is the integration of circuit theory, signals and systems, and electromagnetics to develop entire systems with dimensions on the order of several millionths of a meter (microns).
A new formulation is proposed to directly extend the virtual transfer function between inputs (VTFBI) approach to ill-conditioned systems with dimensions higher than 2 × 2.
The interpolated mapping method, a numerical method for determining global domains of attraction, is presented so as to be applied to systems with dimension higher than two.
The calculus methods of fuzzy dimensions are examined and an application to the extreme positions of a rod-crank system with uncertain dimensions is also presented.
The result could be a more open research system, with more dimensions of excellence.
But pretty early in this set of free improvisations on Wednesday night at Le Poisson Rouge in Greenwich Village, they dived into a system, with intuitive dimensions of tone, rhythm, energy and narrative, in which it seemed that nothing could possibly go wrong.
Based on the property that the graph Laplacian matrix can be factored into the product of two specific matrices, the consensus problem with switching topologies is converted into a stabilization problem of a switched system with lower dimensions by performing a proper variable transformation.
Noticeably, based on two drive complex systems and one response complex system with different dimensions, we propose generalized combination complex synchronization and design a general controller.
To the best of our knowledge, there are few papers discussing combination synchronization among two drive systems and one response system with different dimensions in the complex space.
