Mathematical and cybernetical means of aed theory

Conceptual Design of BCI for Mobile Robot Control

“…Aed model S considered below unites the codes of the two level system [5] and general systems theory [11], numeric positional codes L s , geometry, and cybernetic methods. Aed is a standard element of Hierarchical Systems [5][6][7][8][9], which implements the general laws of systems organization on each level and the inter-level connections (see Figure 1). Aed S contains ω and σ models connected by coordinator S 0 :…”

“…where ρ and ϕ are reactions and state transition functions respectively, C is state, X is input, Y is output, and T is time of level . Object o S , processes π S ↔ { oπ S , επ S } and environment ε S are connected by their states, inputs and outputs [5][6][7][8][9]. The structure of system  S is defined in the following way:…”

“…S is the coordinator control unit. Coordinator  0 S is constructed recursively, and performs the design and control tasks on its selection, learning and self-organization strata [5][6][7][8][9].…”

“…Geometrical signs and metric characteristics μ ℓ of systems S ℓ being designed and controlled are defined in the framework of aed formal model in codes of numeric positional system S L [5][6][7][8][9]. The main of them are constructive dimension δ ℓ and connection defect ξ ℓ .…”

“…According to the above formulated requirements, the conceptual model implemented in BCI design must be a hierarchical construction that connects any level BCI subsystem with its lower and higher levels. Therefore, Hierarchical System (HS) [4], with its standard block aed [5][6][7][8][9], which meets all of the above requirements for the BCI conceptual model, was selected as the formal basis for BCI system conceptual design (Section 2) in this paper. An overview of the other conceptual design methods is presented in the monograph [9] available online.…”