Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates

On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules

“…Hence, the two necessary conditions of Properties [(i)-(ii)] have been proved. Since S * 2 > 0, from (23), and R * 2 > 0, from the first identity of (27) if V * 2 ∈ [0, 1] since I * 2 > 0, one gets by comparing the left-hand-side of (27) with its last identical term that:…”

“…See, [23][24][25] and references therein. The relevance of delays in the study of vaccination controls, neural networks and stochastic control systems has been recently discussed in [5,26,27] and references therein. There are also an interesting group of references available concerning the studies of the patterns of spatial spread of infective diseases with studies of chaos, bifurcations, cross diffusion of susceptible subpopulation, spatial variation of the risk of incidence, distributions of reservoirs of pathogens, etc., [28][29][30][31][32] and references therein.…”

An anti-windup design to robust H∞ control for singular Markovian jump systems with actuator saturation and general unknown transition rates

“…Finite-time H ∞ control for a class of discrete-time Markov jump systems with actuator saturation was probed via dynamic anti-windup design in [46]. Most recently, under the actuator saturation and partly known transition probabilities, the corresponding results for anti-windup design of uncertain Markovian jump systems are presented in [47][48][49]. However, until now, the problem of robust H ∞ control for a class of singular Markovian jump systems with generally uncertain transition rates and actuator saturation via anti-windup design has not been fully discussed, which still an open problem and remain challenging.…”

Stabilization for Positive Markovian Jump Systems with Actuator Saturation

“…As a special class of nonlinear systems [21][22][23]26,43,49], actuator saturation research has attracted considerable attention, because of its importance from both theoretical and practical viewpoints. Researchers have considered a balancing pointer [20,42], a cart-spring-pendulum system [17,42], a F-8 aircraft system [42,44], a RLC series circuit [48], and control theory [6,29]. In general, there are two methods to deal with saturation.…”