SIAM Journal on Control and Optimization, Vol.46, No.6, 2052-2070, 2007
Computing the L(1)-norm of continuous-time linear systems
An algorithm is presented for the computation of the L(1)-norm of a linear time-invariant continuous-time system. It is based on the numerical integration of the impulse response and is shown to be quadratically convergent.
Keywords:system norm;L(1)-norm;computation;impulse response;matrix exponential;sensitivity;integration;trapezoidal rule;nondifferentiable integrand;truncation error;control system