Control algorithms ensuring high-precision control of an object under coordinate and parametric disturbances and noises are designed. This problem is solved by introducing an additional adaptive control loop synthesized on the basis of adaptive system theory with reference models. Several ways of simplifying the proposed adaptive algorithm are considered

A route-oriented self-diagnosis method for the technical state of modules and connection lines of digital systems is designed. It uses 0-routes for choosing testing modules and transferring test results. Self-diagnosis is subdivided into two stages: determination of a reliably operative module for starting self-diagnosis and self-diagnosis of the state of other components of the system. Test results for modules are described with the Preparat-Metze-Chien model. Two examples on self-diagnosis of failed components in a 9-module system are given.

The components of large digital systems structured as toroidal grids are tested and diagnosed in three stages. At the first stage, the components of the subsystems as specified by the primary layout are checked in parallel. At the following two stages, the subsystems obtained from the primary subsystems by one-step right (downward) shift are checked in parallel as well. For the large digital systems, a multiagent organization of system diagnosis was developed. The functional characteristics and interrelations of the seven types of agents required for realization of the test and diagnosis components of the large digital systems under consideration were determined. An example of the multiagent organization of diagnosis of the components of a nine-module toroidal subsystem was considered.

We consider non-uniform digital systems (DS) organized as a symmetric bipartite graph that consists of CPUs, memory units, and a commuter that can link any pair of CPUs and/or memory blocks. We show how to perform control and diagnostics (CaD) for these DS components by uniting different devices in the analyzed DS into verifiable subsystems that consist of a commuter, two communication channels, and a CPU or a memory unit. We show that in order to reliably diagnose these DSs one has to use sequential diagnostics of faulty components. We give an example of multiagent organization of DS component diagnostics in the considered structure.

Abstract—This paper considers the existence and control of equilibrium (asymptotically stable) states in nonlinear positive normalized models (PNMs) functioning in the positive unit cube K in the space R n . The representation of a PNM as a functional graph is discussed. The author introduces the notion of admissible control as a control action whose coordinates belong to the interval [0,1], as well as establishes the convexity of the set of equilibrium states induced by admissible control actions. For PNMs with independent control and PNMs with linear state-feedback control, the model transition problem from an arbitrary initial state to a given equilibrium state is solved and the probability of such transition is defined. And finally, a numerical example illustrates all stages of the corresponding procedures.