Abstract:
Algorithm for numerical construction of time-periodic Luapunov functions that fall in the prescribed parametric classes is built for use in continuous time-varying control systems with periodic constraints imposed on their parameters. This algorithm is based on the solution of appropriate minimax problems in mathematical programming. The convergence of the developed algorithm is established and example of its computer implementation is given.
Keywords:continuous time-varying control systems, periodic constraints, Luapunov functions, algolithm for numerical construction, parametric classes, minimax problem, mathematical programming.