Stability criterion with less LMI variables for linear discrete-time systems with additive time-delays

Authors:
K. Ramakrishnan;G. Ray
Affiliations:
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India 721 302;Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India 721 302
Venue:
International Journal of Automation and Computing
Year:
2011

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Abstract

In this correspondence paper, an equivalent stability criterion with minimal number of linear matrix inequality (LMI) variables is presented for a delay-dependent stability criterion reported recently in the International Journal of Automation and Computing for a class of linear discrete-time systems with additive time delays. The reported stability criterion for the additive timedelay systems has more number of matrix variables in the LMI and, hence, demand additional computational burden. The proposed equivalent stability criterion, unlike the reported one, does not involve free-weighing matrices and encompass only the matrix variables that are associated in the Lyapunov-Krasovskii functional, making the criterion mathematically less complex and computationally more effective.