Non-autonomous higher-order Moreau's sweeping process: Well-posedness, stability and Zeno trajectories

DOI10.1017/S0956792518000256zbMath1432.34026OpenAlexW2804366931MaRDI QIDQ4962518

Bernard Brogliato

Publication date: 5 November 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792518000256

zbMATH Keywords

stabilitywell-posednessnon-autonomoushigher-order sweeping processZeno trajectories

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Ordinary differential inclusions (34A60) Nonautonomous smooth dynamical systems (37C60) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (2)

Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ A maximum principle for a time-optimal bilevel sweeping control problem

Cites Work

• Unnamed Item
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• Nonsmooth mechanics. Models, dynamics and control
• Non-standard semantics of hybrid systems modelers
• Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
• Determinability and state estimation for switched differential-algebraic equations
• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Systems with distributions and viability theorem
• Optimal control of the sweeping process over polyhedral controlled sets
• Nonsmooth modeling and simulation for switched circuits.
• Some results on optimal control with unilateral state constraints
• Uniqueness in the elastic bounce problem
• Evolution problem associated with a moving convex set in Hilbert space
• Sweeping process with regular and nonregular sets.
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• Set invariance in control
• Direct singular perturbation analysis of high-gain and cheap control problems
• Stability and convergence of mechanical systems with unilateral constraints
• Higher order Moreau's sweeping process: mathematical formulation and numerical simulation
• On linear passive complementarity systems
• A Survey of Viability Theory
• A class of nonlinear differential equations of second order in time
• Variational Analysis
• Trajectory Tracking Control of Multiconstraint Complementarity Lagrangian Systems
• Dissipative systems analysis and control. Theory and applications

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