Chapter  Lyapunov Stability I Autonomous Systems  Denitions Consider the autonomous system  Denition  is an equilibrium point of  if    We want to know whether or not the trajecories near an equilib
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Chapter Lyapunov Stability I Autonomous Systems Denitions Consider the autonomous system Denition is an equilibrium point of if We want to know whether or not the trajecories near an equilib

De64257nition 2 is said to be stable if for each 57359 0 8658k otherwise the equilibrium point is said to be unstable IMPORTANT This notion applies to the equilibrium not the system A dynamical system can have several equilibrium points brPage 2b

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Chapter Lyapunov Stability I Autonomous Systems Denitions Consider the autonomous system Denition is an equilibrium point of if We want to know whether or not the trajecories near an equilib




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