Controllability and linear closed-loop controls in linear periodic systems

Identifiability of Linear Closed-loop Systems

Open-loop and Closed-loop Optimization of Linear Control Systems

A canonical optimal control problem for linear systems with timevarying coefficients is considered in the class of discrete controls. On the basis of linear programming methods, two primal and two dual methods of constructing optimal open-loop controls are proposed. A method of synthesis of optimal feedback control is described. Results are illustrated by a fourth-order problem; estimates of ef...

Identifiability of MIMO linear dynamic systems operating in closed loop

Identification of multi-input muiti-output [MIMO) Section 3 of the naner is concerned with the case -~~~ ~-. ~-~~r ~ ~ r ~ ------.---~~ ~ ~ ..~.. linear dynamic systems is considered for the c&e when the measurements are obtained during closed loop operation. Both where the disturbances in the feedback path are a noise free and noisv feedback situations are analvsed. For the full rank stochasti...

Closed Form Periodic Solutions for Piecewise-linear Vibrating Systems

Piecewise-linear oscillators are often considered as finite degrees-of-freedom models of cracked elastic structures [1-3] but may also represent specifics of original systems. In many cases, the corresponding periodic solutions combine different pieces of linear solutions valid for two different subspaces of the configuration space [4,5]. It is always preferable though to deal with closed form ...

Closed-loop parametric identification for continuous-time linear systems

Closed-loop parametric identification of continuous-time linear systems is achieved via new algebraic techniques, which are employing non-commutative ring theory, module theory, and operational calculus. The efficiency and robustness with respect to noises are demonstrated by three illustrative examples and their computer simulations. In two of them we compare our results with those given by st...