Solution concept for a dynamic hybrid system
A journey with hybrid dynamical systems

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S7434 V1 Article

Solution concept for a dynamic hybrid system
A journey with hybrid dynamical systems

Authors : Isabelle QUEINNEC, Sophie TARBOURIECH, Luca ZACCARIAN

Publication date: January 10, 2023 | Lire en français

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2. Solution concept for a dynamic hybrid system

2.1 Classical solutions for continuous-time and discrete-time systems

Before defining the concept of hybrid solution more precisely, it is useful first to recall the classical solutions for continuous-time and discrete-time systems, which can be seen as special cases of hybrid systems, and restricting ourselves to the case where f and g are continuous functions of xn :

  • A solution ϕ for the discrete-time system x + = g(x), xn...

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