A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. suboptimal solution proposed using a model predictive control (MPC) based explicit dual approach, which enables active uncertainty learning. novel algorithm design of robustly invariant online terminal sets controllers p...

Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity functions in IFS has iterated systems. If are contractions, then is guaranteed a unique attractor. Recently, however, there an interest what occurs attractor at boundary between contractvity expansion IFS. That subject this paper. For family $F_t...

in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.

Session types provide a typing discipline for structured communication on bidirectional channels. Context-free session overcome the restriction to tail recursive protocols characteristic of conventional types. This extension enables serialization and deserialization tree structures in fully type-safe manner. We present theory underlying language FreeST 2, which features context-free an System F...

We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion seminorm, we propose a geometric framework for introduce matrix semimeasures characterize their properties. show that spectral abscissa is infimum over weighted semimeasures. For dynamical systems, use semimeasure Jacobian to contractivity properties trajectories. ...