Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control. I: Ideal energy source

DOI10.1007/S11071-008-9350-6zbMath1208.70023OpenAlexW4254461832MaRDI QIDQ840530

N. E. Zubov

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-008-9350-6

zbMATH Keywords

Hamilton-Jacobi-Bellman equationLyapunov functionasymptotic stabilityfeedback control

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05)

Related Items (6)

Statements on chaos control designs, including a fractional order dynamical system, applied to a ``MEMS comb-drive actuator ⋮ Vibration Analysis of a Shape Memory Oscillator by Harmonic Balance Method Verified Numerically ⋮ A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems ⋮ Intelligent quadratic optimal synchronization of uncertain chaotic systems via LMI approach ⋮ CHAOS ROBUSTNESS AND STRENGTH IN THERMOMECHANICAL SHAPE MEMORY OSCILLATORS PART I: A PREDICTIVE THEORETICAL FRAMEWORK FOR THE PSEUDOELASTIC BEHAVIOR ⋮ Synchronisation of uncertain chaotic systems via fuzzy-regulated adaptive optimal control approach

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear thermomechanical oscillations of shape-memory devices
• An overview of constitutive models for shape memory alloys
• On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
• Modeling the dynamic behavior of shape memory alloys
• Chaos in a shape memory two-bar truss
• Analytical study of the nonlinear behavior of a shape memory oscillator. I: Primary resonance and free response at low temperatures
• Determining Lyapunov exponents from a time series
• Nonlinear dynamics and chaos in coupled shape memory oscillators.
• On an optimal control design for Rössler system
• Controlling chaos
• A GENERAL APPROACH IN THE DESIGN OF ACTIVE CONTROLLERS FOR NONLINEAR SYSTEMS EXHIBITING CHAOS
• Thermomechanical modelling, nonlinear dynamics and chaos in shape memory oscillators

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