Fast interval estimation for discrete-time linear systems: An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e294" altimg="si3.svg"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> optimization method

This paper studies interval estimation for discrete-time linear systems with unknown but bounded disturbances. Inspired by the parity space approach, we propose a point estimator fixed-time convergence property. The is combined zonotope-based analysis to achieve fast estimation. parameter matrix in optimized minimizing length of edges outer box error zonotope. It formulated as L1 optimization problem and can be efficiently solved programming. Comparison illustrate superiority proposed method over existing techniques.