Optimal control problems within the class of generalized solutions

Boris M. Miller and Evgeny Ya. Rubinovich
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Boris M. Miller: Institute for Information Transmission Problems
Evgeny Ya. Rubinovich: Institute of Control Sciences

Chapter Chapter 5 in Impulsive Control in Continuous and Discrete-Continuous Systems, 2003, pp 193-235 from Springer

Abstract: Abstract In this Chapter we return to the general nonlinear system described by the equation $$\dot{X}(t) = F(X(t),u(t),w(t),t),$$ which satisfies Assumption 4.1 of the previous Chapter, so as F(x,u,w,t) is a given continuous function, which is the Lipschitz one with respect to (x,w) ∈ R n × R m , and has a linear growth with respect to x, and w.

Keywords: Generalize Solution; Optimal Control Problem; Hybrid System; Uniform Convergence; Impulse Control (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-0095-7_5

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DOI: 10.1007/978-1-4615-0095-7_5

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