S. P. Sorokin's research while affiliated with Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (ISDCT SB RAS) and other places

Publications (2)

Article
The canonical theory of the necessary and sufficient conditions for global optimality based on the sets of nonsmooth solutions of the differential Hamilton-Jacobi inequalities of two classes of weakly and strongly monotone Lyapunov type functions was developed. These functions enable one to estimate from above and below the objective functional of...
Article
We develop a canonical global optimality theory based on operating with the set of solutions for the Hamilton-Jacobi inequalities that parametrically depend on the initial (or final) position. These solutions, called positional L-functions (of Lyapunov type), naturally arise in the studies of control problems for discrete-continuous (hybrid, impuls...

Citations

... One of the most elegant ideas in optimal control theory is reduction of OCP to a finite-dimensional problem of a small size defined as terminal function minimum on the controlled system reachable set (see, e.g. [16]). Knowledge of reachable set allows one to ignore the dynamic part of the problem and render it down to optimization in the terminal phase space. ...