Professor, Doctor of Science in Physics and Mathematics
Korobov Valerii Ivanovich
Head of the Department of Applied Mathematics
Laureate of the State Prize of Ukraine in the field of science and technology,
Controllability Function Method
M.–Izhevsk:"Regular and chaotic dynamics", Institute of Computer Research, 2007, 576 p.
The monograph is devoted to the controllability function method which is a development of the Lyapunov function method for control systems. An application of the controllability function method for the synthesis problem of admissable control for different classes of systems of differential equations is given. A control is constructed as a function of state variables which satisfies given constrains and is such that trajectories of the closed-loop system steer to a given end point in a finite time. Results are illustrated by examples and figures.
The book will be useful to mathematicians and mechanicians – specialists in the field of the control theory. The material is suitable for postgraduate students and university students who specialize in applied mathematics.