Event--Selected Vector Field Discontinuities Yield Piecewise--Differentiable Flows

DOI10.1137/15M1016588zbMath1353.37166arXiv1407.1775OpenAlexW2461166651MaRDI QIDQ3188140

Daniel E. Koditschek, Shai Revzen, Samuel A. Burden, Shankar S. Sastry

Publication date: 17 August 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1775

zbMATH Keywords

roboticsbiomechanicsanimal locomotionhybrid dynamical systemnonsmooth dynamical systemneural biologydifferential equation with discontinuous right-hand sidesaltation matrix

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biomechanics (92C10) Discontinuous ordinary differential equations (34A36) Hybrid systems of ordinary differential equations (34A38)

Related Items

Local inversion of a class of piecewise regular maps, The salted Kalman filter: Kalman filtering on hybrid dynamical systems, Conley's Fundamental Theorem for a Class of Hybrid Systems

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