Lyapunov problem and synthesis of optimal control systems

Autor: V. F. Zadorozhny
Rok vydání: 2010
Předmět:
Zdroj: Cybernetics and Systems Analysis. 46:98-104
ISSN: 1573-8337
1060-0396
DOI: 10.1007/s10559-010-9188-z
Popis: The direct (first) Lyapunov method is an efficient method for the analysis and synthesis of dynamic control systems. Constructing the Lyapunov function holds a central position in this method and is a challenge for nonlinear dynamic systems. In the paper, the Lyapunov function is constructed as a solution of the Hamilton---Jacoby equation, which is reduced to a Fredholm-type equation.
Databáze: OpenAIRE