Robust stability analysis of uncertain discrete time systems is studied. The LMI robust stability analysis method based on polynomial parameter dependent Lyapunov function is presented. This method is compared with other robust stability analysis methods formulated through LMI using linear parameter dependent Lyapunov function. The results are tested on randomly generated examples.

In this paper, some properties of $alpha$-skew Armendariz and central Armendariz rings have been studied by variety of others. We generalize the notions to central $alpha$-skew Armendariz rings and investigate their properties. Also, we show that if $alpha(e)=e$ for each idempotent $e^{2}=e in R$ and $R$ is $alpha$-skew Armendariz, then $R$ is abelian. Moreover, if $R$ is central $alpha$-skew A...

Parametric dynamical systems emerge as a formalism for modeling natural and engineered ranging from biology, epidemiology, medicine to cyber-physics. Parameter tuning is complex task usually performed exploiting heavy simulations having high computational complexity not ensuring the correctness of synthesized systems. We consider problem parameter synthesis discrete-time polynomial propose form...

For many applications of Markov Decision Processes (MDPs), the transition function cannot be specified exactly. Bayes-Adaptive MDPs (BAMDPs) extend to consider probabilities governed by latent parameters. To act optimally in BAMDPs, one must maintain a belief distribution over Typically, this is described set sample (particle) MDPs, and associated weights which represent likelihood MDP being tr...

this paper presents a gain scheduled autopilot for pitch channel of a flying vehicle. the selected method is based on polynomial fuzzy systems. the method does not involve linearization about operating point. first the polynomial fuzzy model of pitch channel of the flight body is derived. next, using polynomial fuzzy system methodology the controller is design such that the outputs of the nonli...

Complex polynomial family with coeÆcients dependent aÆnely on a complex uncertain parameter is considered in this paper. New test for robust Hurwitz stability of a line segment is proposed. Simple numerical routine is presented for computation of a stability region in the complex parameter plane. The relationship between the H1 norm of a stable rational function and a stability bound on the com...

We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...

Abstract—State feedback control synthesis problems for a class of polynomial nonlinear systems are investigated in this paper. Less conservative sufficient conditions to achieve the closed-loop stability with or without H∞ performance are formulated in terms of state dependent matrix inequalities. By introducing additional matrix variables, we succeed in eliminating the involved coupling betwee...