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A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components

A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components

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An effective approach is introduced to study the stability of continuous systems with multiple time-varying delay components. By employing a new Lyapunov–Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for cases with or without the information of the delay rates. The contribution of the paper is 2-fold. First, it provides an improvement, as well as generalisation, of the existing stability criteria for continuous systems with multiple time-varying delay components. Second, it is illustrated numerically that the approach can be applied to estimate the delay bound for system stability in the single delay case with reduction both in conservatism and computational complexity when compared with the existing methods.

Inspec keywords: Lyapunov matrix equations; time-varying systems; linear systems; continuous systems; delays; computational complexity; stability

Other keywords: multiple time-varying delay component; computational complexity; delay-partitioning projection approach; linear continuous system stability analysis; Lyapunov-Krasovskii functional form; matrix parameter; delay bound estimation

Subjects: Computational complexity; Linear algebra (numerical analysis); Distributed parameter control systems; Stability in control theory; Time-varying control systems

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