Small-gain theorem for ISS systems and applications
A concept of input-to-output practical stability of smooth nonlinear control systems is introduced. A generalized small-gain theorem and a gain assignment theorem are proved. Applications are obtained: -- A sufficient condition for global asymptotic stability (in the spirit of the center manifold reduction theorem); -- Sufficient conditions for global asymptotic stabilization (via partial-state feedback) for linear systems with nonlinear stable dynamic perturbations and for a class of nonlinear control systems composed of a chain of dynamically perturbed integrators.
scientific article; zbMATH DE number 749746
scientific article