Design of Observers for Positive Systems With Delayed Input and Output Information

Necessary and sufficient optimal control conditions for networked control systems with input delay and Markovian packet dropouts

“…Assuming that for any m that d ≤ m ≤ N, and for k ≥ m + 1, 𝜆 k−1 holds the form of (19). Now, we shall prove that (19) holds for k = m.…”

“…Proof. We shall use mathematical induction to prove that 𝜆 k−1 follows the form of formula (19) for k = N + 1, … , 0.…”

“…See other literatures on Markovian packet dropout in [17,18]. The control problem for NCSs with time delay have also been studied in [19,20]. [21] investigated the optimal control and stabilization for NCSs with both Bernoulli packet dropout and input delay.…”

Filter Design for Positive T–S Fuzzy Continuous-Time Systems With Time Delay Using Piecewise-Linear Membership Functions

“…I N the last decade or so, researchers paid more attention to positive systems which have some special properties. For example, the state variables and system outputs will stay in the positive quadrant if the initial conditions are non-negative [1]- [3]. Such systems are very close to our daily life, such as, in biological and physiological field: metabolic systems; in ecology and population dynamics: the human, animal and plant populations; in communications: data packets flowing in a network; and in compartmental systems: pharmacokinetics, epidemiology and so on.…”

Functional observers design for positive systems with delays and unknown inputs

“…In [18], a method for designing positive observers wherein the observers' eigenvalues lie in a specified region was presented. Observers for positive systems with delayed input and output information were reported in [19]. For positive time‐delay systems, Zaidi et al .…”