The Minkowski–Lyapunov equation for linear dynamics: Theoretical foundations

The Minkowski-Lyapunov equation for linear dynamics: Theoretical foundations

We consider the Lyapunov equation for the linear dynamics, which arises naturally when one seeks for a Lyapunov function with a uniform, exact decrease. In this setting, a solution to the Lyapunov equation has been characterized only for quadratic Lyapunov functions. We demonstrate that the Lyapunov equation is a well-posed equation for strictly stable dynamics and a much more general class of ...

Theoretical Foundations

This chapter addresses the theoretical foundations for research in educational communications and technology. Four relevant areas are explored: (1) the psychology of learning, (2) communications theory, (3) human–computer interaction, and (4) instructional design and development. Past work in these four areas can be viewed as providing a theoretical foundation for further research and developme...

Theoretical Foundations for Greedy Methods

Theoretical Foundations for Belief Revision

Belief revision systems are AI programs that deal with contradictions. They work with a knowledge base, performing reasoning from the propositions in the knowledge base, "filtering" those propositions so that only part of the knowledge base is perceived the set of propositions that are under consideration. This set of propositions is called the set of believed propositions. Typically, belief re...

The Theoretical Foundations of Jus Cogens in International Law

International Law has it's Constituent elements (legal systems, regimes and collections of rules); Those have  interrelations from which legal networks are created. Having this in mind,  the question is whether these Constituent elements only have horizental nexus or are ordered by means of factors which unified them in a vertical manner and because of that International Law is named legal orde...