This paper considers control aane systems in IR 4 with two inputs, and gives necessary and suucient conditions for dynamic feedback linearization of these systems with the restriction that the linearizing outputss must be some functions of the original state and inputs only. This also gives conditions for non-aane systems in IR 3. Linnarisation dynamique des systtmes deux commandes et quatre ta...

The research is presenting backgrounds to the sudden informal secession of Kurdish regions in Syria from central government Damascus 2012, successively create a kind de facto autonomy known as Autonomous Administration North and East (AANES). This trying expose features quasi state demonstrated by AANES through analyses its existence mechanisms collaborations with International Coalition fights...

In this paper we present aane transformations as an extension of the Signal language for the speciication and validation of real-time applications. A Signal program is a system of equations which specify dependencies between program data and synchronization constraints on clock variables. In order to test if a program is functionally safe, the Signal compiler resolves the clock constraints and ...

Programs and systems of recurrence equations may be represented as sets of actions which are to be executed subject to precedence constraints. In many cases, actions may be labelled by integral vectors in some iteration domain, and precedence constraints may be described by aane relations. A schedule for such a program is a function which assigns an execution date to each action. Knowledge of s...

Let f : C n ! C be a polynomial function. We deene global polar invariants associated to bres of f and we describe a CW-complex model of a bre. We show how to use aane polar curves in order to study the monodromy around atypical values of f, including the value innnity. We give a zeta-function formula for such a monodromy. Topologie des fonctions polynomiales et dynamique mono-dromique R esum e...

Polynomials are ubiquitous in a variety of applications. A relatively recent theory exploits their sparse structure by associating a point connguration to each polynomial system; however, it has so far mostly dealt with roots having nonzero coordinates. We shift attention to arbitrary aane roots, and improve upon the existing algorithms for counting them and computing them numerically. The one ...

Exact array dataaow analysis can be achieved in the general case if the only control structures are the sequence, the do-loop and restricted ifs, and if loop counter bounds and array subscripts are aane expressions of surrounding loop counters and possibly some integer constants. In this paper, we begin the study of dataaow analysis of dynamic control programs, where arbitrary ifs and whiles ar...

In recognition of the fundamental relation between regular arrays and systems of aane recurrence equations, the Alpha language was developed as the basis of a computer aided design methodology for regular array architectures. Alpha is used to initially specify algorithms at a very high algorithmic level. Regular array architecures can then be derived from the algorithmic speciication using a tr...

Systems of aane recurrence equations (SAREs) over polyhedral domains are widely used to model computation-intensive algorithms and to derive parallel code or hardware implementations. The development of complex SAREs for real-sized applications calls for the elaboration of formal veriication techniques. As the systems we consider are generic, i.e., depend on parameters whose value are not stati...