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

Abstract:

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.