Internal Controllability of First Order Quasi-linear Hyperbolic Systems with a Reduced Number of Controls

Internal Controllability of First Order Quasi-linear Hyperbolic Systems with a Reduced Number of Controls

Reduced-Order Greedy Controllability of Finite Dimensional Linear Systems

Often a dynamical system is characterized by one or more parameters describing physical features of the problem or geometrical configurations of the computational domain. As a consequence, by assuming that the system is controllable, a range of optimal controls exists corresponding to different parameter values. The goal of the proposed approach is to avoid the computation of a control function...

Regional Controllability of Linear and Semi Linear Hyperbolic Systems

This work concerns regional controllability of linear and semi linear hyperbolic systems as in ([9, 10, 11]) but the results are established with more flexible conditions. Also we consider the case where the subregion of interest is a boundary part of the system evolution domain.Then we give illustrations of different results through many examples and simulations.

Stabilization and controllability of first-order integro-differential hyperbolic equations

In the present article we study the stabilization of first-order linear integro-differential hyperbolic equations. For such equations we prove that the stabilization in finite time is equivalent to the exact controllability property. The proof relies on a Fredholm transformation that maps the original system into a finite-time stable target system. The controllability assumption is used to prov...

Stability of Quasi-linear Hyperbolic Dissipative Systems

1. Introduction In this work we want to explore the relationship between certain eigenvalue condition for the symbols of first order partial differential operators describing evolution processes and the linear and nonlinear stability of their stationary solutions. Consider the initial value problem for the following general first order quasi-linear system of equations