Affiliation:
1. The School of Mathematics and Statistics Xi'an Jiaotong University Xi'an China
Abstract
AbstractAccumulative error along with time impedes the application of many computational methods on high‐precision simulation; therefore, time‐interval methods emerge. In this paper, a new model reduction method of quadratic‐bilinear (QB) systems based on time‐interval Gramians (TIGs) is presented. The conditions for generalized Lyapunov equations whose solutions are exactly TIGs to be solvable are derived. Lyapunov stability and error bound are discussed to demonstrate the succession and advance of time‐interval balanced truncation (TIBT). The accuracy and robustness are improved, as is illustrated in numerical results.
Funder
National Natural Science Foundation of China
Natural Science Basic Research Program of Shaanxi Province
Key Research and Development Projects of Shaanxi Province
Subject
Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)