Abstract
The paper studies control problem of nonlinear dynamical systems discribed by difference equation x k +1 = f k (x k ,u k ), k = 0,1,…, N − 1 with phase constraints x k ∈ M k . Basing on new results in multivalued Lipschitzian analysis we obtain local controllability and reachability conditions for linear control systems of this kind. Some corollaries of controllability criteria for linear and nonlinear nondifferentiable discrete-time systems are also given.
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© 1991 Springer Basel AG
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Phat, V.N. (1991). Control problem of nonlinear dynamical systems with phase constraints. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_39
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DOI: https://doi.org/10.1007/978-3-0348-5715-4_39
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-5715-4
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