Abstract: Security of context-aware ubiquitous systems is
paramount, and authentication plays an important aspect in cloud
computing and ubiquitous computing. Trust management has been
identified as vital component for establishing and maintaining
successful relational exchanges between trading partners in cloud
and ubiquitous systems. Establishing trust is the way to build good
relationship with both client and provider which positive activates will
increase trust level, otherwise destroy trust immediately. We propose
a new context-aware authentication system using a trust management
system between client and server, and between servers, a trust which
induces partnership, thus to a close cooperation between these servers.
We defined the rules (algorithms), as well as the formulas to manage
and calculate the trusting degrees depending on context, in order to
uniquely authenticate a user, thus a single sign-on, and to provide
him better services.
Abstract: The relationship between eigenstructure (eigenvalues
and eigenvectors) and latent structure (latent roots and latent vectors)
is established. In control theory eigenstructure is associated with
the state space description of a dynamic multi-variable system and
a latent structure is associated with its matrix fraction description.
Beginning with block controller and block observer state space forms
and moving on to any general state space form, we develop the
identities that relate eigenvectors and latent vectors in either direction.
Numerical examples illustrate this result. A brief discussion of the
potential of these identities in linear control system design follows.
Additionally, we present a consequent result: a quick and easy
method to solve the polynomial eigenvalue problem for regular matrix
polynomials.