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\(\Omega\)-rest points in autonomous control systems

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Publication:1845685
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DOI10.1016/0022-0396(76)90115-7zbMath0286.93020OpenAlexW2012173909MaRDI QIDQ1845685

Michael Heymann, Ronald J. Stern

Publication date: 1976

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(76)90115-7



Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15)


Related Items

Fixed points and equilibria in nonconvex sets ⋮ Rest point theorems for autonomous control systems ⋮ Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains



Cites Work

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  • Controllability of linear systems with positive controls: geometric considerations
  • \(\Omega\)-invariance in control systems with bounded controls
  • On generalized dynamical systems defined by contingent equations
  • Stability in general control systems
  • The fixed point theory of multi-valued mappings in topological vector spaces
  • The generalized differential equation \(\dot x\in R(t,x)\)
  • Functional analysis and time optimal control
  • The Wazewski topological method for contingent equations
  • Invariance for ordinary differential equations
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