The article considers a set of models of the scenario-indicator approach, including the graph model of the disturbance distribution in a complex technical system (CTS) and the scenario model of an influence of internal factors on parameters of the environment. The problem of optimizing the placement of indicators in CTS is formalized.

Score functions like the logarithmic derivative of a probability density function and the t-score are applied in many control problems of dynamic systems. However, their estimation by samples of moderate sizes may require nonparametric estimation of the density and its derivative that is difficult. To overcome this problem we attract a new random variable that is equal to inter-cluster times $T_1(u)$ of the underlying process $\{X_n\}$ normalized by its tail function $\overline{F(u)}$. A cluster contains consecutive exceedances of the process over a threshold $u$ and inter-cluster issues of the process run under $u$. We found that the the logarithmic derivative of the $\overline{F(u)}T_1(u)$ may be approximated by extremal index. The latter can be easily estimated by one of the nonparametric estimators. Another aim is to find a relationship between score functions of a marginal variable $X_t$ generating the process and of the normalized $T_1(u)$. The first score function carries the information about distribution, while the other one about dependence structure. We also consider Fisher score that is the gradient, with respect to some parameter, of the logarithm of the likelihood function. The relationships are demonstrated on ARMAX, moving maxima, moving average and AR(1) processes to illustrate this methodology.

The LQ-problems of controller design for discrete-time plant with prescribed upper stabilization accuracy limit with respect to stationary response variance criterion is considered. It is proved that control purpose is attainable in the class of stationary perturbations of fixed power and known spectrum localization. The iterative design procedure is suggested and exponential dependence of upper accuracy limit on number of iterations is established.

An active flutter suppression using linear saturated control is investigated for a 2dof wing section with nonlinear torsional stiffness and limited deflection amplitude of its single actuator. The local suppression of limit cycleoscillations in the nonlinear closed-loop system is achieved through maximization of the stability region of its linearized counterpart and following numerical bifurcation analysis. A globalization scheme is proposed for a locally stabilizing linear saturated controller. Using the scheme, we show global constrained stabilizability of our system.

C использованием основных положений теории каскадных структур по Колмогорову проведено исследование фрактальной размерности и показателя перемежаемости для кратковременных подструктур в процессе саморазвития динамической системы фондового рынка. Показано, что сохранение системой упорядоченного развития требует не только бифуркаций удвоения периода реализуемого цикла, но и обратного движения – бифуркаций уменьшения периода вдвое, отдаляющих приближение системы к хаосу.