Local and Asymptotic Properties of Equilibria

Jean-Pierre Aubin (), Alexandre M. Bayen () and Patrick Saint-Pierre ()
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Jean-Pierre Aubin: VIMADES
Alexandre M. Bayen: University of California at Berkeley, Electrical Engineering and Computer Sciences Civil and Environmental Engineering
Patrick Saint-Pierre: Université Paris Dauphine LEDA-SDFi

Chapter Chapter 9 in Viability Theory, 2011, pp 319-373 from Springer

Abstract: Abstract This chapter expends to the case of control and regulated systems some central concepts of “dynamical systems”, dealing with local and asymptotic stability, attractors, Lyapunov stability and sensitivity to initial conditions, equilibria, Newton’s methods for finding them and the inverse function theorem for studying their stability.

Keywords: Asymptotic Property; Lyapunov Stability; Lorenz System; Attraction Basin; Permanent Evolution (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-16684-6_9

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DOI: 10.1007/978-3-642-16684-6_9

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