On a Class of Variable-Structure Systems View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1974

AUTHORS

Surender K. Gupta , Kuduvally N. Swamy , Tzyh-Jong Tarn , John Zaborszky

ABSTRACT

The purpose of this paper is to investigate the optimal control of a class of discrete, time-invariant, variable-structure systems. Both deterministic and stochastic problems are considered for unbounded control and the cost functional quadratic in state. Solutions are obtained in closed-form. In the deterministic case, it is seen that the regular path and singular paths satisfying the functional equation of dynamic programming may exist simultaneously. It is shown then that the regular path is optimal. Both additive and multiplicative plant noise are considered in the stochastic problem. It is shown that the presence of noise considerably simplifies the analysis since the cases with singularities are contained in sets of measure zero. More... »

PAGES

233-248

Book

TITLE

Learning Systems and Intelligent Robots

ISBN

978-1-4684-2108-8
978-1-4684-2106-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4684-2106-4_11

DOI

http://dx.doi.org/10.1007/978-1-4684-2106-4_11

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1038600893


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