Theory of sustainable management in active systems

The theory of sustainable management in active systems is presented as one of the directions of development of the theory of active systems. The paper reviews this branch of research. A concept of extended active system as a hierarchically controlled dynamic system is proposed. The control methods with consideration of the requirements of homeostasis are formalized. The methods and algorithms of solution of the respective differential game theoretic control problems are developed. The information-analytical decision support systems are described. A dynamic generalization of the incentive control mechanisms in organizational systems is given. The models of sustainable management in environmental-economic, territorial, education systems are built and investigated. Static models of coordination of interests in resource allocation are studied. An approach to the modeling of corruption in hierarchical control systems is implemented. The principal mathematical models that form a base of the theory of sustainable management in active systems are described briefly.