Backward Linear Control Systems on Time Scales

Details Backward Linear Control Systems on Time Scales Backward Linear Control Systems on Time Scales

2010-04-04

arxiv.org/abs/1004.0541v1

Internat. J. Control 83 (2010), no. 8, 1573--1580

Mathematics

Optimization and Control

Submitted November 11, 2009; Revised March 28, 2010; Accepted April 03, 2010; for publication in the International Journal of

Scientific paper

10.1080/00207179.2010.483562

We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward jump operator. Kalman criteria of controllability and observability, as well as realizability conditions, are proved.

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