Sentence examples for using the contraction theory from inspiring English sources

This paper discusses the incremental stability of an underwater vehicle using the contraction theory.

Different from all the previous related literature, the authors use the contraction mapping theory to obtain in this paper the existence of other solutions for PDEs with p-Laplace besides the trivial solution.

This theory is particularly convenient for the Neumann problem where we use the contraction property of the fixed point index to reduce the computation of the fixed point index in an affine space.

The tuning parameters of the controller have selected analytically from the incremental stability analysis using contraction theory.

The asymptotic convergence of proposed estimator is derived by using contraction theory related to semi-contracting systems.

In addition, a backstepping formulation is derived using contraction theory that guarantees the boundedness of state response under bounded disturbances such as wind.

Synchronization problem with and without uncertainty in system parameters is discussed and necessary stability proofs are worked out using contraction theory.

In this paper, using Contraction theory, a nonlinear observer is designed for a general nonlinear cable/string FEM (Finite Element Method) model.

By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for singular third-order boundary value problems.

Here, we give the unique solution of BVP (1.1) under the conditions that and is mixed nonmonotone in and does not need to be separable by using the cone theory and the Banach contraction mapping principle.

By using the cone theory and the Banach contraction mapping principle, we study the existence and uniqueness of an iterative solution to the singular nth-order nonlocal boundary value problems.