Controllability results for quasi‐linear systems: Standard and descriptor cases

Abstract

This paper investigates the controllability of quasi‐linear systems in standard and descriptor cases. Two extended PBH criteria depending on the coefficient matrices, as sufficient conditions, are proposed to test the controllability of quasi‐linear systems for standard and descriptor cases. Finally, two practical examples are provided to verify the effectiveness of the proposed criteria. The proposed method naturally extends the controllability conclusions to existing results and practically enlightens the study of nonlinear systems.

Parametric design of reduced-order functional observers for linear time-varying delay systems

“…It has a significant effect on system performance and may cause instability, oscillation, and so on. Therefore, time-delay systems are also widely concerned, recent results can be found in the literature, [20][21][22][23][24][25][26][27] and reference therein. According to the spectral decomposition techniques, Bhat and Koivo 28 presented the theory of Luenberger observer for time-delay systems.…”