hybrid dynamical systems

Hybrid Automation Extended Model

Authors: Andreichenko D. K., Andreichenko K. P., Batraeva I. A.

An extended model of hybrid automata for dynamic systems is considered, where, along with a discrete control subsystem and control objects with lumped parameters, there are control objects with distributed parameters (linear and stationary from the point of view of automatic control theory). The possibility of software implementation of an extended model of hybrid automata on embedded computing systems is shown.

Adaptive Algorithm of Parametric Synthesis of Hybrid Dynamical Systems

Authors: Andreichenko D. K., Andreichenko K. P., Melnichuk D. V., Portenko M. S.

Hybrid dynamical systems (HDS) are connected by means of the boundary conditions and the constraint’s conditions systems of ordinary differential equations and partial differential equations with the corresponding initial conditions. Under the parametric synthesis we understand the algorithm for selecting parameters of feedbacks of controlled HDS, providing the required quality of transients.

Analyticity Conditions of Characteristic and Disturbing Quasipolynomials of Hybrid Dynamical Systems

Authors: Portenko M. S., Melnichuk D. V., Andreichenko D. K.

Hybrid dynamical systems (HDS) are connected by means of the boundary conditions and the constraint’s conditions systems of ordinary differential equations and partial differential equations with the corresponding initial conditions. Check the stability of HDS can be performed on the basis of the "fast"algorithm for the application which requires analytic characteristic and disturbing quasipolynomials of HDS in the right half-plane and near the imaginary axis.