Expansion of solution of an inverted pendulum system with time delay

DOI10.1016/j.amc.2011.01.023zbMath1312.34101OpenAlexW1998260965WikidataQ53225555 ScholiaQ53225555MaRDI QIDQ632887

Zhong-Jie Han, Gen-Qi Xu, Ya Xuan Zhang

Publication date: 28 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.023

zbMATH Keywords

time delayexpansionsemigroupeigenvectorspectruminverted pendulum

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Eigenvalue problems for linear operators (47A75) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Motion of a rigid body in contact with a solid surface (70E18) Spectral theory of functional-differential operators (34K08)

Related Items (2)

Stability and chaotic behavior of a PID controlled inverted pendulum subjected to harmonic base excitations by using the normal form theory ⋮ Spectral analysis of Timoshenko beam with time delay in interior damping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear theory of nonisothermal forced elongation
• Stability and regularity results for a size-structured population model
• Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications
• Variable universe adaptive fuzzy control on the quadruple inverted pendulum
• Asymptotic behavior of size-structured populations via juvenile-adult interaction
• Semigroups of linear operators and applications to partial differential equations
• Asymptotic solutions of characteristic equations
• Fuzzy control of inverted pendulum and concept of stability using Java application
• Stability analysis of structurally unstable man--machine system involving time delays

This page was built for publication: Expansion of solution of an inverted pendulum system with time delay