Kybernetika 38 no. 5, 541-551, 2002

Approximation of control laws with distributed delays: a necessary condition for stability

Sabine Mondié, Michel Dambrine and Omar Santos


The implementation of control laws with distributed delays that assign the spectrum of unstable linear multivariable systems with delay in the input requires an approximation of the integral. A necessary condition for stability of the closed-loop system is shown to be the stability of the controller itself. An illustrative multivariable example is given.