a new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. we use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. then, we linearized this identified model at each sampling time to have an approximate linear time varying system. in order to stabilize...

We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters 32`+1 √ 8π` ; 1; 2 ; unlink codes with asymptotical parameters √ 3 2π`6 ; 2; 2 and (2, `)–torus link codes with asymptotical parameters ~n; 1; dn where dn > √ n 1.62 .

In this report we discuss some mathematical properties of the LRAAM model. The LRAAM model is an extension of the RAAM model by Pollack. It allows one to obtain distributed reduced representations of labeled graphs. In particular, we give suucient conditions on the asymptotical stability of the decoding process along a cycle of the encoded structure. Data encoded in an LRAAM can also be accesse...

An unsolved ancient problem in position control of robot manipulators is to find a stability analysis that proves global asymptotic stability of the classical PID control in closed loop with robot manipulators. The practical evidence suggests that in fact the classical PID in industrial robots is a global regulator. The main goal of the present paper is theoreticall...

In this paper, we study the well-posedness and qualitative behavior of equilibria a SEIR epidemic models with spatial diffusion for spreading COVID-19. The model is proved using both Semigroup Theory sectorial operators existence results abstract parabolic differential equations. asymptotical local stability disease-free endemic are established standard linearization theory, confirmed by illust...

The stability and Hopf bifurcation of gene expression models with a mechanism delayed state feedback are considered. An effective algorithm for the calculations on delay stable interval equilibrium point, direction, bifurcating periodic solution is also proposed. τ-decomposition strategy applied to tackle issue local stability, explicit formula provided. In addition, asymptotical behaviors solu...

This article is devoted to the global continuous control for stochastic low-order cascade nonlinear systems with time-varying delay and inverse dynamics. Compared existing results, nature of only continuous, but nonsmooth, unfolded since power system low order; all traditional growth conditions on unknown drift diffusion nonlinearities local Lipschitz condition are quitted, which largely extend...

This paper focuses on the dynamical behavior of an age-structured epidemic model including a nonlinear incidence and immune loss. For this well-posedness considered is obtained existence equilibria obtained. Then stability persistence problems are investigated for system. More precisely, disease-free equilibrium globally asymptotically stable when basic reproduction number $ R_0<1 $, while i...

In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension classical asymptotical theorem in terms a Lyapunov–Razumikhin function is obtained. The condition non-positivity time derivative Razumikhin weakened. Additionally, resulting asymptotic allow us to guarantee uniform and evaluate convergence ...