This book explains how methodology of systems analysis and mathematical methods of control theory (including game theory and graph theory) can be applied to the area of organizational management. The theory presented extends the traditional approach of management science by introducing the optimization and game-theoretical tools for systematic accounting of the special nature of human being as a control object (such that opportunism, selfish behavior, information manipulation). Formal methods are used to construct robust and efficient decision-making procedures (the, so called, mechanisms), which support all aspects and stages of management activity (planning, organization, motivation, and monitoring), over all decision horizons, from operational to strategic management. We introduce a version of mechanism design customized to solve the problems of management in organizations. All mathematical models and mechanisms studied are motivated by the problems met by managers in firms and non-profit organizations.

Abstract—Consideration was given to a controllable architecture enabling easy, simple and prompt self-testing in the programmable logic matrix. An approach was proposed to reduce the amount of self-testing hardware by compacting the test response by mod 2 convolution schemes through reconfiguration of the subject of diagnosis programmed in the matrix and using its standard connections.

Abstract—The matrix method for localization of a faulty block that was proposed earlier by the present author was considered as applied to a discrete device with multi-output blocks At that, the question of reducing the amount of the test hardware was solved by constructing appropriately the matrix of block outputs. An algorithm for such construction was given.

In this paper we consider design of stabilizing controllers for linear systems subjected to persistent exogenous disturbances. The performance of the closed-loop system is characterized by the size of invariant (bounding) ellipsoid for the system state (output). The optimal (smallest) ellipsoid is shown to be “fragile” in the sense that small variations of its coefficients may lead to considerable degradation of performance or even to the loss of stability of the closed-loop system. We propose a method for constructing a “nonfragile” controller that tolerates variations of the parameters and remains optimal in the sense of the performance index adopted.

We study the static state feedback design problem for linear systems under given constraints on the magnitude of the control input. A quadratic performance index is constructed such that it is optimized by the synthesized control. The issues of fragility of the controller are analyzed; this phenomenon relates to the loss of the stabilizability property of a controller under small variations of its parameters. Linear matrix inequalities are used as a main technical tool.