Inducing sustained oscillations in a class of nonlinear discrete time systems

DOI10.1177/1077546316659223zbMATH Open1400.39011OpenAlexW2491914895MaRDI QIDQ4554631

T. Binazadeh, A. R. Hakimi

Publication date: 9 November 2018

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546316659223

zbMATH Keywords

oscillationbacksteppingstable limit cyclepositive limit setnonlinear discrete time systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Oscillation theory for difference equations (39A21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Desynchronization of coupled limit-cycle oscillators through nonlinear output regulation
• Limit-cycle-like control for 2-dimensional discrete-time nonlinear control systems and its application to the Hénon map
• Existence and uniqueness of limit cycle for a class of nonlinear discrete-time systems
• Sliding mode control of linear systems with mismatched uncertainties
• Limit cycle synthesis of multi-modal and 2-dimensional piecewise affine systems
• Discrete fractional logistic map and its chaos
• Reset control systems with reset band: well-posedness, limit cycles and stability analysis
• Synchronization in a nonidentical fractional order of a proposed modified system
• Synthesis of systems with periodic solutions satisfying<tex>Upsilon (X) = 0</tex>
• Stabilization of oscillations through backstepping in high-dimensional systems
• Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach
• Discrete chaos in fractional sine and standard maps

Related Items (6)

Limit cycle oscillator in nonlinear systems with multiple time delays ⋮ Generation of stable oscillations in uncertain nonlinear systems with matched and unmatched uncertainties ⋮ Generation of stable limit cycles in nonlinear sandwich systems with dead-zone nonlinearity and input saturation ⋮ A novel adaptive SMC strategy for sustained oscillations in nonlinear sandwich systems based on stable limit cycle approach ⋮ Robust limit cycle control in a class of nonlinear discrete-time systems ⋮ Inducing stable periodic behaviour in a class of dynamical systems by parametric perturbations.

This page was built for publication: Inducing sustained oscillations in a class of nonlinear discrete time systems