Discrete-continuous systems with impulse control

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 2 in Impulsive Control in Continuous and Discrete-Continuous Systems, 2003, pp 39-101 from Springer

Abstract: Abstract Consider the evolution of a dynamical system, which state is described by the variable X(t) ∈ R n defined in some interval [0, T]. Suppose that X(t) satisfies the differential equation 2.1 $$ \mathop{X}\limits^{.} \left( t \right) = F(X(t),t), $$ with a given initial condition $$ X(0) = {{x}_{0}} \in {{R}^{n}} $$ and the following intermediate conditions 2.2 $$ X({{\tau }_{i}}) = X({{\tau }_{i}} - ) + \Psi (X({{\tau }_{i}} - ),{{\tau }_{i}},{{\omega }_{i}}), $$ which are given for some sequence of instants $$ \{ {{\tau }_{i}},i = 1,...,N\underline

Keywords: Generalize Solution; Impulse Control; Auxiliary System; Impulsive Control; Jump Point (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4615-0095-7_2

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