Algorithms for robust stability analysis of linear time-varying control systems with periodic constraints (Q1280800)

Algorithms for the numerical construction of time-periodic Lyapunov functions that fall in prescribed parametric classes are built up for use in continuous and discrete time-varying control systems with periodic constraints imposed on their parameters. These algorithms have their bases in the solutions to appropriate minimax problems in mathematical programming and are in fact robust stability criteria for the control systems under study in the form of numerical procedures. The convergence of the developed algorithms is established and examples of their implementation on a computer are given.