Memoryless Control to Drive States of Delayed Continuous-time Systems within the Nonnegative Orthant

Stabilization of positive Takagi–Sugeno fuzzy discrete-time systems with multiple delays and bounded controls

“…is feasible, then there exists a bounded control law (6) such that the closed-loop system (20) is asymptotically stable and controlled positive for any initial condition satisfying 0⪯Ψ ðkÞ⪯λ; k∈½−τ max ; 0. Moreover, the gain matrices K 1 ; K 2 …K r can be computed as follows:…”

“…In recent years, positive systems have obtained great interest by researchers [4][5][6][7][8]. The class of positive T-S fuzzy systems has been considered for the first time in [9] and more developed in [10,11].…”

Robust stability and stabilization of uncertain delay systems

“…The problem of constrained positive stabilization for delay-free systems was introduced in [18] and recently studied for delay systems in [14]. Here we further elaborate on it.…”

“…The aim of this paper is to present techniques for the analysis and control of continuous-time positive (Metzlerian) delay systems. Motivated by the problem of positive observation and observer design for time delay systems [12], [13], as well as [14], [15] we provide additional insights into the robust analysis and stabilization with positivity constraints. It turns out that for the Metzlerian time delay systems the asymptotic stability with delay coincides with its stability without delay.…”

State Feedback with Memory for Constrained Switched Positive Linear Systems

“…The constrained control of positive linear systems with multiple delays is investigated in [30,31]. The system states to the nonnegative orthant by state feedback with memory and memoryless controller are derived in reference [32,33]. The robust stabilization problems under constrained controls for system with interval and polytopic uncertainties are investigated in reference [34].…”