TY - JOUR A2 - Torres, Delfim F. M. AU - De la Sen, M. PY - 2017 DA - 2017/12/13 TI - About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma SP - 3928970 VL - 2017 AB - This paper formulates an “ad hoc” robust version under parametrical disturbances of the discrete version of the Kalman-Yakubovich-Popov Lemma for a class of positive hybrid dynamic linear systems which consist of a continuous-time system coupled with a discrete-time or a digital one. An extended discrete system, whose state vector contains both the digital one and the discretization of the continuous-time one at sampling instants, is a key analysis element in the formulation. The hyperstability and asymptotic hyperstability properties of the studied class of positive hybrid systems under feedback from any member of a nonlinear (and, eventually, time-varying) class of controllers, which satisfies a Popov’s-type inequality, are also investigated as linked to the positive realness of the associated transfer matrices. SN - 1026-0226 UR - https://doi.org/10.1155/2017/3928970 DO - 10.1155/2017/3928970 JF - Discrete Dynamics in Nature and Society PB - Hindawi KW - ER -