Sentence examples for controllability problem from inspiring English sources

More precisely, by using the constructive control function, we transfer the approximate controllability problem for control system (1.1) into the fixed point problem for operator Λ.

An explicit representation of solutions with the aid of special matrix functions called a delayed matrix sine and a delayed matrix cosine is used to develop the conditions of relative controllability and to construct a specific control function solving the relative controllability problem of transferring an initial function to a prescribed point in the phase space.

In this paper we deal with the controllability problem for semilinear distributed discrete-time control systems.

In this paper, we study the controllability problem of the semi-discrete internally controlled one-dimensional wave equation with the finite element method.

For control systems with delay, a solution to the controllability problem is considerably more complicated.

In [7], instead of transforming the problem from a non-cylindrical domain into a cylindrical domain, Sun et al. studied the controllability problem directly in a non-cylindrical domain, when the control is put on the moving endpoint.

In addition, the fixed point techniques are widely used in studying the controllability problems for nonlinear control systems, approximate controllable systems are more prevalent and very often approximate controllability is completely adequate in applications; see [8, 9].

Figure 5 provides two alternative visualisations to aid in our discussions of the observability and controllability problems within each of the component control systems within the larger sociotechnical system.

Note that attitude problems, namely the controllability problems, have also been treated by geometric control theory, see e.g. [19, 38].

The method combines linear matrix inequalities and the inclusion principle in a way that eliminates controllability problems that are inherent to standard decentralized control design in the expanded space.

In the systems under study, nonlinearity and control variable exist both in drift and diffusion terms, and controllability problems are considered in the framework with a novel Banach space, which not only leads to some difficulties in deriving the properties of interest but also bring some opportunities to study the system in a more general framework.