MPC: implications of a growth condition on exponentially controllable systems *

Designing a hybrid quantum controller for strongly eigenstate controllable systems

 In this paper, a new quantum hybrid controller for controlling the strongly eigenstate controllable systems, is designed. For this purpose, a Lyapunov control law is implemented when the target state is in reachable set of the initial state. On the other hand, if the target state is not in the reachable set of the given initial state, based on Grover algorithm, a new interface state that the t...

Exponentially Convex Functions on Hypercomplex Systems

Exponentially exact hyperbolic systems

Starting with general hyperbolic systems of conservation laws, a special sub{class is extracted in which classical solutions can be expressed in terms of a linear transport equation. A characterizing property of this sub{class which contains, for example, all linear systems and non{linear scalar equations, is the existence of so called exponentially exact entropies.

On a class of Kirchhoff type systems with nonlinear boundary condition

A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

On hybrid systems and closed-loop MPC systems

The following five classes of hybrid systems were recently proved to be equivalent: linear complementarity (LC) systems, extended linear complementarity (ELC) systems, mixed logical dynamical (MLD) systems, piecewise affine (PWA) systems, and maxmin-plus-scaling (MMPS) systems. Some of the equivalences were obtained under additional assumptions, such as boundedness of system variables. In this ...