This paper investigates the positive realness of continuous fractional-order (FO) two-
dimensional (2D) Roesser model with the FO ρ 1∈(0, 1], ρ 2∈(0, 1]. A sufficient condition …

LMI approach is applied to compute a gain matrix of state-feedbacks such that the
closedloop system is positive and asymptotically stable. Necessary and suffiecient …

This study investigates the positive real lemmas for singular fractional‐order linear time‐
invariant systems with the fractional order. Firstly, a novel condition for the stability and …

The control problem of fractional-order continuous-discrete 2D Roesser models in the finite
frequency is investigated in this brief. Firstly, based on the frequency-partitioning method …

A new concept of the practical stability of the positive fractional 2D linear systems is
proposed. Necessary and sufficient conditions for the practical stability and the asymptotic …

This paper investigates the H∞ H _ ∞ filtering for the continuous fractional‐order (FO) two‐
dimensional (2D) Roesser model with the FO between 0 and 1. Firstly, a sufficient condition …

This paper is concerned with the positive realness of fractional order linear time-invariant
systems with the commensurate order 0< α< 2. Sufficient and necessary condition for a …

In this paper, switched 2D fractional order positive systems described by the Roesser model
are introduced. The state space representation of each subsystem is given using the …

This paper discusses the problem of positive real control for uncertain 2-D linear discrete
time singular Roesser models (2-D SRM) with time-invariant norm-bounded parameter …

This paper investigates the design problem of state positive real control in finite frequency
domains for two-dimensional (2D) continuous systems described by a Roesser model. Our …