System Theoretic Perspectives of the Sampling Theorem

A cone theoretic Krein-Milman theorem in semitopological cones

In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

Sampling from a system-theoretic viewpoint part II: noncausal solutions

This paper puts to use concepts and tools introduced in Part I to address a wide spectrum of noncausal sampling and reconstruction problems. Particularly, we follow the system-theoretic paradigm by using systems as signal generators to account for available information and system norms (L and L) as performance measures. The proposed optimization-based approach recovers many known solutions, der...

VIP systems in partial semigroups

A VIP system is a polynomial type generalization of the notion of an IP system, i.e., a set of finite sums. We extend the notion of VIP system to commutative partial semigroups and obtain an analogue of Furstenberg’s central sets theorem for these systems which extends the polynomial Hales-Jewett Theorem of Bergelson and Leibman. Several Ramsey Theoretic consequences, including the central sets...

Fuzzy sets form A meta-system-theoretic point of view

Game-Theoretic Approach for Pricing Decisions in Dual-Channel Supply Chain

In the current study, a dual-channel supply chain is considered containing one manufacturer and two retailers. It is assumed that the manufacturer and retailers have the same decision powers. A game-theoretic approach is developed to analyze pricing decisions under the centralized and decentralized scenarios. First, the Nash model is established to obtain the equilibrium decisions in the decent...