Abstract
This chapter is devoted to the extension of generalized linear system theory to nonlinear case. First, we consider the discrete-time cross-dimensional nonlinear systems(CDNSs), and the continuous time CDNSs. Both of them are the generalizations of cross-dimensional linear systems. For discrete time case, the trajectory is investigated and formulas are obtained to calculate it. For continuous time case, only weak solution is considered. The results in this chapter are mostly heuristic.
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