Multiple summation inequalities and their application to stability analysis of discrete-time delay systems

DOI10.1016/j.jfranklin.2016.10.006zbMath1355.93139arXiv1512.02052OpenAlexW2256801854MaRDI QIDQ509474

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 February 2017

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02052

zbMATH Keywords

stability analysisLyapunov-Krasovskii functionalsdiscrete Jensens and Wirtingers inequalitiesdiscrete-time delay systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (8)

Stability analysis of continuous-time systems with time-varying delay using new Lyapunov-Krasovskii functionals ⋮ Fuzzy-model-based \(\mathcal{H}_\infty\) control for discrete-time switched systems with quantized feedback and unreliable links ⋮ A new delay-variation-dependent stability criterion for delayed discrete-time systems ⋮ Comparison of some bounding inequalities applied in stability analysis of time-delay systems ⋮ Bessel summation inequalities for stability analysis of discrete‐time systems with time‐varying delays ⋮ Stability analysis of linear systems with interval time-varying delays utilizing multiple integral inequalities ⋮ Discrete Legendre polynomials-based inequality for stability of time-varying delayed systems ⋮ Stability analysis of singular time-delay systems using the auxiliary function-based double integral inequalities

Uses Software

• OPQ

Cites Work

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