The asymptotic stability of a class of neutral systems with multiple discrete and distributed time delays is considered. The Lyapunov stability theorem and a linear matrix inequality (LMI) approach are applied to solve the stability problem for such systems. Discrete-delay-independent and discrete-delay-dependent criteria are proposed to guarantee stability for the systems considered. Some numerical examples are given to illustrate that the results obtained are not conservative.
Inspec keywords: Lyapunov methods; delay systems; discrete time systems; asymptotic stability; matrix algebra
Other keywords:
Subjects: Algebra; Stability in control theory; Discrete control systems; Distributed parameter control systems
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