Titlebook: Impulsive Control in Continuous and Discrete-Continuous Systems; Boris M. Miller,Evgeny Ya. Rubinovich Book 2003 Springer Science+Business

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scontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.978-1-4613-4921-1978-1-4615-0095-7

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Book 2003s. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuou

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ear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of di

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978-1-4613-4921-1Springer Science+Business Media New York 2003

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Discrete-continuous systems with impulse control,Consider the evolution of a dynamical system, which state is described by the variable .(.) ∈ . defined in some interval [0, .]. Suppose that .(.) satisfies the differential equation .with a given initial condition . and the following intermediate conditions . which are given for some sequence of instants ., satisfying the inequalities

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Representation of generalized solutions via differential equations with measures,In this Chapter we discuss the control of a nonlinear dynamic system with its state governed by the nonlinear differential equation. where .(.) is given function, . is the initial condition, . are measurable controls on . is an ordinary control component, and .is a generalized one.

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Optimal control problems within the class of generalized solutions,In this Chapter we return to the general nonlinear system described by the equation . which satisfies Assumption 4.1 of the previous Chapter, so as .(.) is a given continuous function, which is the Lipschitz one with respect to (.) ∈ . × ., and has a linear growth with respect to ., and ..

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Appendix. Differential equations with measures,n of this very important area of a real analysis. Our aim is only to present some necessary result, to make this book more or less self-contained. For more details and proofs we refer to [89], [152], [179], [192].

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https://doi.org/10.1007/978-1-4615-0095-7Nonlinear system; differential equation; optimal control; ordinary differential equations