AUTHORS: Natalya Sedova
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ABSTRACT: This paper deals with stability analysis for nonlinear systems with time delay. The proposed approach is based on the assumption that on a subset of the state space the system is represented by a continuous-time Takagi– Sugeno system with delay and cascaded structure. The first aim is to present linear matrix inequality conditions to assess non-local stability properties of the system. The second relevant contribution is to present linear matrix inequalities that allow to find an inner estimate of the domain of attraction for the system subject to constraints defining the subset under consideration. The proposed approach is based on common quadratic Lyapunov functions and the Razumikhin technique.
KEYWORDS: nonlinear delay system, Takagi–Sugeno system, system with constraints, LMI, domain of attraction
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