It is well-known that for linear systems internal asymptotic stability implies external stability in the sense that when the external input is in Lp then also the state will be in Lp. However, for the control of linear systems with saturation where the controlled system is nonlinear this implication is no longer directly applicable. Several people have studied the effect of external inputs in Lp either directly or in the context of ISS as introduced by Sontag. In this paper we will study the effect of external stochastic disturbances on linear systems with input saturation and we establish that when we can achieve internal global asymptotic stability then we can also achieve a bounded variance for the state.
|Number of pages||6|
|Publication status||Published - Dec 2004|
|Event||43rd IEEE Conference on Decision and Control, CDC 2004 - The Atlantis, Paradise Island, Bahamas|
Duration: 14 Dec 2004 → 17 Dec 2004
Conference number: 43
|Conference||43rd IEEE Conference on Decision and Control, CDC 2004|
|Period||14/12/04 → 17/12/04|
Stoorvogel, A. A., Weiland, S., & Saberi, A. (2004). On stabilization of linear systems with stochastic disturbances and input saturation. 3007-3012. Paper presented at 43rd IEEE Conference on Decision and Control, CDC 2004, Paradise Island, Bahamas.