In this paper, an indirect adaptive fuzzy control scheme is presented for a class of multiinput andmulti-output (MIMO) nonlinear systemswhose dynamics are poorly understood. Within this scheme, fuzzy systems are employed to approximate the plant’s unknown dynamics. In order to overcome the controller singularity problem, the estimated gain matrix is decomposed into theproduct of onediagonalmatr...

The notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as $CAT(0)$ space, where the curvature is bounded from above by zero. In fact, the bead spaces themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed bead spaces are identical with uniformly convex spaces. In this paper, w...

The problem of stabilizing linear dynamical time-delaysystems subject to bounded uncertainties is investigated. Two memo-ryless feedback controllers are considered. It is established that whenthe matching conditions are met and certain bounding relations aresatisfied, then the linear controller renders the zero-response of the systemasymptotically stable. Saturation-type con...

We give both sufficient conditions and necessary conditions for the stochastic stability of non-uniformly expanding maps either with or without critical sets. We also show that the number of probability measures describing the statistical asymptotic behaviour of random orbits is bounded by the number of SRB measures if the noise level is small enough. As an application of these results we prove...

Duplication is the replacement of a factor w within a word by ww. This operation can be used iteratively to generate languages starting from words or sets of words. By undoing duplications, one can eventually reach a square-free word, the original word’s duplication root. The duplication root is unique, if the length of duplications is fixed. Based on these unique roots we define the concept of...

In this paper, relative orbit and attitude adaptive controllers are integrated to perform roto-translational maneuvers for CubeSats equipped with a Drag Maneuvering Device (DMD). The DMD enables the host CubeSat modulation of aerodynamic forces/torques gravity gradient torque. Adaptive independent orbital revisited account traslational-attitude coupling while compensating uncertainty in paramet...

This article proposes a novel adaptive super-twisting sliding mode control scheme with time-delay estimation technique (ASTSMC-TDE) to the yaw angle of single ducted-fan unmanned aerial vehicle system. Such systems are highly nonlinear; hence, proposed is combination several schemes; mode, TDE estimate nonlinear factors system, and an mode. The tracking error ASTSMC-TDE guaranteed be uniformly ...