<p style='text-indent:20px;'>This paper presents an optimal control problem of the general variable-order fractional delay model advertising procedure. The describes flow clients from unaware people group to conscious or bought band. new formulation generalizes that proposed by Muller. Two variables are considered increase number customers who purchased products. An efficient nonstandard ...

In this paper some of the relationships between optimal control and statistics are examined. We produce generalized, smoothing splines by solving an optimal control problem for linear control systems, minimizing the -norm of the control signal, while driving the scalar output of the control system close to given, prespecified interpolation points. We then prove a convergence result for the smoo...

This paper deals with a class of continuous nonlinear control systems in the presence of sampled outputs. The dynamical models under consideration are described by ordinary differential equations with additive bounded uncertainties. The linear feedback control design proposed in the manuscript is based on an extended version of the classical invariant ellipsoid method. The stability/robustness ...

This paper presents the stability and H∞ tracking performance design of a fuzzy-model-based descriptor system to attenuate the effects caused by unmodeled dynamics, disturbances, and approximation errors. First, the nonlinear descriptor system is represented by an equivalent Takagi-Sugeno type fuzzy model. Then, a fuzzy observer-based state feedback control scheme is developed to restrain the e...

This paper deals with the adaptive dead–zone compensation strategy based on notion of H∞ optimality. It is assumed that the dead–zone model can be divided into unknown parameters term and bounded disturbance term, an adaptive H∞ control method is given. Proposed control strategy does not include the discontinuous function, therefore, it is effective for the practical applications. Moreover, in ...

Observability is a structural property of a control system defined as the possibility to deduce the state of the system from observing its input-output behaviour. The first part of this report presents a review of two different methods to test the observability of nonlinear control systems found in literature. The differential geometric and algebraic approaches have been applied to different cl...