Dynamical qualitative analysis of evolutionary systems

  title={Dynamical qualitative analysis of evolutionary systems},
  author={Jean-Pierre Aubin and Olivier Dordan},
  journal={2001 European Control Conference (ECC)},
Kuipers' QSIM algorithm for tracking the monotonicity properties of solutions to differential equations has been revisited by Dordan by placing it in a rigorous mathematical framework. The Dordan QSIM algorithm provides the transition laws from one qualitative cell to the others. We take up this idea and revisit it at the light of recent advances in the field of "hybrid systems" and, more generally, "impulse differential equations and inclusions". Let us consider a family of "qualitative cells… CONTINUE READING

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Fixed-Point and Algebraic Properties of Viability Kernels and Capture

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