Finite-Time Stability of Polyhedral Sweeping Processes with Application to Elastoplastic Systems

DOI10.1137/20M1388796MaRDI QIDQ5081082

Ivan Gudoshnikov, O. Yu. Makarenkov, Dmitrii I. Rachinskii

Publication date: 1 June 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07744

zbMATH Keywords

Lyapunov functionnormal conefinite-time stabilitysweeping processvertex enumerationpolyhedral constraint

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) Constrained dynamics, Dirac's theory of constraints (70H45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (2)

Finite-time stability of any polyhedral sweeping process with uni-directional loading and application to elastoplastic models ⋮ Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input

Cites Work

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• Differentiability properties of metric projections onto convex sets
• Plasticity and geotechnics.
• Subdifferential analysis of bivariate separately regular functions
• A review of some plasticity and viscoplasticity constitutive theories
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Computational formulation for the asymptotic response of elastoplastic solids under cyclic loads
• Output feedback continuous twisting algorithm
• Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations
• On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator
• Stabilization of periodic sweeping processes and asymptotic average velocity for soft locomotors with dry friction
• Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs
• Optimal control of sweeping processes in robotics and traffic flow models
• Verification of ISS, iISS and IOSS properties applying weighted homogeneity
• A comparison between analytical calculations of the shakedown load by the bipotential approach and step-by-step computations for elastoplastic materials with nonlinear kinematic hardening
• Higher order Moreau's sweeping process: mathematical formulation and numerical simulation
• Variational Analysis
• Continuous finite-time stabilization of the translational and rotational double integrators
• Stabilization of the response of cyclically loaded lattice spring models with plasticity
• One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model
• Continuous Uniform Finite Time Stabilization of Planar Controllable Systems
• Convex analysis and monotone operator theory in Hilbert spaces

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