Asymptotic stability and stabilizability of nonlinear systems with delay. (November 2016)

• Record Type: Journal Article
• Authors: Srinivasan, V.; Sukavanam, N.
• Is Part Of: ISA transactions. Volume 65(2016:Nov.)
• Page Start: 19
• Page End: 26
• Publication Date: 2016-11
• Subjects: Nonlinear systems -- Asymptotic stability -- Stabilization; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2016.08.005
• Languages: English
• ISSNs: 0019-0578

Abstract

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. Abstract : Highlights: We consider a class of nonlinear system with fixed delay in state variable. New sufficient conditions for asymptotic stability and stabilizability of nonlinear delay systems have been established in terms of system parameters. Examples are given to illustrate the proposed theory.