We analyze the problem of controlling parameter-dependent systems. We introduce the notion of averaged control according to which the quantity of interest is the average of the states with respect to the parameter. First we consider the problem of controllability for linear finite-dimensional systems and show that a necessary and sufficient condition for averaged controllability is an averaged ...

In the paper one and two-dimensional optimal control systems with perturbations are considered. Some sufficient conditions under which optimal processes continuously (or semicontinuously) depend on variable parameters of the system are proved.

An optimal control problem on a special nilpotent4-dimensional Lie group is discussed and some of its dynamical and geometrical properties are pointed out.

We study the duality theory for hyperbolic equations. Also, we consider distributed control systems with positive control and convex cost functionals.

some of the important mechanical loads in the civil and military industries are variable speed and power and their efficiency. mechanical coupling of two different electric motors is suitable for these types of application. using this technique reduces energy consumption of submarine’s motion system and submarine range would be increased. but the use of this technique requires a complex control...