In this paper, we study product convolutional codes described by state-space representations. particular, investigate how to derive representations of the code from horizontal and vertical codes. We present a systematic procedure build such representation with minimal dimension, i.e., reachable observable.

Protected-module architectures such as Intel SGX provide strong isolation guarantees to sensitive parts of applications while the system is up and running. Unfortunately systems in practice crash, go down for reboots or lose power at unexpected moments in time. To deal with such events, additional security measures need to be taken to guarantee that stateful modules will either recover their st...

A standard class of finite dimensional control systems is considered, along with a state constraint set S and a target set Σ ⊂ S. Under certain geometric assumptions on S and a required S-constrained small time controllability property, a proximal Hamilton-Jacobi characterization of the S-constrained minimal time function to target Σ is obtained.

this is a longitudinal case study of two farsi-speaking children learning english: ‘bernard’ and ‘melissa’, who were 7;4 and 8;4 at the start of data collection. the research deals with the initial state and further development in the child second language (l2) acquisition of syntax regarding the presence or absence of copula as a functional category, as well as the role and degree of l1 influe...

second language acquisition (sla) always happens when the learners live and have contact with the native speakers of a second language. although this study investigates learning english by ten native children of farsi, the authors try to simulate the second language acquisition environment. the research deals with the initial state and further development in the child second language learning o...