Robust Control And Filtering For Time-delay Sys... -

A standard linear time-delay system with a single constant delay is typically modeled using the state-space representation:

Stability analysis for TDS is generally divided into two categories: Overview of Lyapunov methods for time-delay systems - HAL Robust Control and Filtering for Time-Delay Sys...

ẋ(t)=Ax(t)+Adx(t−h)+Bu(t)x dot open paren t close paren equals cap A x open paren t close paren plus cap A sub d x open paren t minus h close paren plus cap B u open paren t close paren is the state vector. is the delayed state. Adcap A sub d are the system and delay-state matrices, respectively. A standard linear time-delay system with a single