In this paper, we construct, for a certain class of semigroup dynamical systems, two operator algebras that are universal with respect to their corresponding covariance conditions: one being selfadjoint, and another nonselfadjoint. We prove the C*-envelope nonselfadjoint algebra is precisely selfadjoint one. This result leads number new examples C*-envelopes, many from fields commutative rings....

This paper examines actions of right LCM semigroups by endomorphisms C*-algebras that encode an additional structure the semigroup. We define contractive covariant representations for these semigroup dynamical systems and prove a generalized Stinespring's dilation theorem showing can be dilated if only map on C*-algebra is unital completely positive. generalizes earlier results about dilations ...

Half a century of a work defining a landmark in Discrete Event Dynamic Systems theory is worth underlining. This invited contribution, of festive character, albeit I fear inadequate, is a modest tribute to the memory and work of Carl Adam Petri. It was considered convenient to remember some of the personal contacts we had with him. The price is a certainly biased view.

Progresses on the dynamical system theory of 2D Euler equation are reported. An open problem is presented. The isospectral theory on Lax pairs of Euler equations is initiated.

mathematical systems theory in biology communications computation and finance What to say and what to do when mostly your friends love reading? Are you the one that don't have such hobby? So, it's important for you to start having that hobby. You know, reading is not the force. We're sure that reading will lead you to join in better concept of life. Reading will be a positive activity to do eve...

Locomotion in the real world involves unexpected perturbations, and therefore requires strategies to maintain stability to successfully execute desired behaviours. Ensuring the safety of locomoting systems therefore necessitates a quantitative metric for stability. Due to the difficulty of determining the set of perturbations that induce failure, researchers have used a variety of features as a...