On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays

non-fragile observer-based sliding mode control for uncertain time-delay systems

“…Since time delay often occurs in various engineering systems and causes serious deterioration of the stability and performance of the system, considerable research has been done to the control of time-delay systems [1][2][3]. In the past, H 1 control concept was proposed to reduce the effect of the disturbance input on the measured output to within a prescribed level [4,5,14].…”

Stability of switched linear discrete-time descriptor systems with explicit calculation of a common quadratic Lyapunov sequence

“…As a consequence, many works have been reported on descriptor systems including the feedback stabilization, Lyapunov stability theory, LMI approach, etc. [17,[20][21][22][23][24]. Moreover, the interplay between switched and descriptor systems has also been explored in the literature.…”

On the equilibrium points, boundedness and positivity of a SVEIRS epidemic model under constant regular vaccination

“…On the other hand, variants of such models become considerably simpler for the disease transmission among plants [6][7]. Some generalizations involve the use of a mixed regular continuous-time/ impulsive vaccination control strategies for generalized time-varying epidemic model which is subject to point and distributed timevarying delays, [12][13], [22][23], [25]. Another well-known types of epidemic models are the so-called SVEIRS epidemic models which incorporate the dynamics of a vaccinated population and the "infected" population without external symptoms of the SEIR-type models is replaced with an "exposed" population subject to a certain dynamics, [30][31].The infected population E(t) of SEIR models, which includes those infected which do not still have external disease symptoms ( those having those symptoms are usually referred to as the " infectious" population I (t) ), is replaced in the SVEIRS models by the so-called "exposed" population E (t) .…”