Sentence examples for system defined on from inspiring English sources

First, we characterize the control properties, such as controllability of such a PDE system, in terms of the corresponding ones of a finite-dimensional discrete-time system defined on the boundaries of the PDE system, which is derived by fully exploiting the method of characteristics.

Firstly, conditions assuring asymptotic stability of Filippov solutions pertained to a switched system defined on semi-algebraic sets are formulated.

The proposed method uses an implicit boundary integral formulation to derive a linear system defined on Cartesian nodes in a narrowband surrounding the closed surface that separates the molecule and the solvent.

Finally we derive the formulation of the balance equations of a CSTR model as an Irreversible Port-Hamiltonian System and give two alternative lifts of the CSTR model to a control contact system defined on the complete Thermodynamic Phase Space.

By this method a fuzzified zero-order T S system defined on a multidimensional crisp partition is directly transformed into a multidimensional spline interpolator approximator by means of fuzzy operations and an equalization normalization of the corresponding input domain.

As a control system with the constraint taken into account, this model is formulated as a port-controlled Hamiltonian system defined on the cotangent bundle of the shape space for the jointed cylinders.

Enormous effort is currently expended in creating scientific software, particularly for simulating physical systems defined on complex geometries, and when using advanced computing hardware.

In this paper, we propose a backstepping based controller design method for asymptotic stabilization of systems defined on noncontractible manifolds.

This paper designs the consensus based formation control laws for multi-agent systems defined on Lie groups.

However, for asymptotic stabilization of systems defined on noncontractible manifolds, there exists no differentiable CLF; the semiconcave CLF design problem based on the backstepping has not been discussed.

In the second part of the paper, we suggest a lift of the Irreversible Port-Hamiltonian Systems to control contact systems defined on the Thermodynamic Phase Space which is canonically endowed with a contact structure associated with Gibbs' relation.