Sentence examples for given for the existence of from inspiring English sources

Necessary and sufficient conditions are given for the existence of H∞ optimal controllers.

A necessary and sufficient condition is given for the existence of asymptotic functional observers.

A constructive proof is given for the existence of load functions.

A number of explicit geometric conditions are given for the existence of singularities.

Based on the geometric approach, a necessary and sufficient condition is given for the existence of an unknown input observer.

Necessary and sufficient conditions are given for the existence of a bounded cyclic schedule, as well as sufficient conditions for execution of the graph in bounded memory.

A full discussion is given for the existence and uniqueness of the asymptotic solution.

Some sufficient conditions are given for the existence and uniqueness of a positive solution.

Without assuming the smoothness, monotonicity, and boundedness of the activation functions, a family of sufficient conditions are given for checking the existence of periodic solution and global exponential stability for such neural networks.

Without assuming the smoothness, monotonicity, and boundedness of the activation functions, a set of sufficient conditions is given for checking the existence of periodic solution and global exponential stability for such neural networks.

Other studies, using specialized microscopy and additional techniques, have given support for the existence of GPI-anchored proteins in lipid rafts.