Stability of infinitely many interconnected systems

Mesh stability of look-ahead interconnected systems

403 Fig. 4. The response of the performance function J(u). function has almost only one peak. This means that the decreasing direction for the entropy is toward having a narrow shape of the output probability density function. This is in line with the theoretical analysis as a small entropy means the uncertainty of the output is small, which indicates that the shape of the output probability de...

Stability Analysis of Interconnected Hybrid Dynamical Systems

In the present paper we establish some new stability results for interconnected hybrid (resp., discontinuous) dynamical systems. Our results are phrased in terms of the qualitative properties of systems components (subsystems) and constraints imposed on the system interconnecting structure. This viewpoint makes it frequently possible to overcome diiculties encountered in the stability analysis ...

Modeling infinitely many agents

This paper offers a resolution to an extensively studied question in theoretical economics: which measure spaces are suitable for modeling many economic agents? We propose the condition of “nowhere equivalence” to characterize those measure spaces that can be effectively used to model the space of many agents. In particular, this condition is shown to be more general than various approaches tha...

Opening infinitely many nodes

we develop a theory of holomorphic differentials on a certain class of non-compact Riemann surfaces obtained by opening infinitely many nodes.

Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems