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ABSTRACT
In this paper, the stability of an equilibrium of a feedback nonlinear system with time delay and structural switching is studied. The critical case of a zero root of the characteristic equations of the linearised systems is treated by applying a Malkin-type theorem using a complete Lyapunov–Krasovskii functional.
Acknowledgements
The authors gratefully acknowledge the financial support of the National Authority for Scientific Research - ANCS, UEFISCDI, through CONTUR research project PN-III-P1-1.2-PCCDI2017-0868, 87PCCDI/2018. The authors are grateful to the referees for their recommendations.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
The authors gratefully acknowledge the financial support of the National Authority for Scientific Research - ANCS, UEFISCDI, through CONTUR research project PN-III-P1-1.2-PCCDI2017-0868, 87PCCDI/2018.