title: Asymptotic stability and stabilizability of nonlinear systems with delay.
abstract: This paper is concerned with asymptotic stability and stabilizability of a class of nonlinear dynamical systems with fixed delay in state variable. New sufficient conditions are established in terms of the system parameters such as the eigenvalues of the linear operator, delay parameter, and bounds on the nonlinear parts. Finally, examples are given to testify the effectiveness of the proposed theory.
authors: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India. Electronic address: srinivasan88.v@gmail.com.
authors: V
authors: V
authors: Srinivasan
authors: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India. Electronic address: nsukvfma@iitr.ac.in.
authors: N
authors: N
authors: Sukavanam
keywords: Asymptotic stability; Nonlinear systems; Stabilization