# Controllability, observability and optimal control of continuous-time 2-D systems

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 2, page 181-195
- ISSN: 1641-876X

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topJank, Gerhard. "Controllability, observability and optimal control of continuous-time 2-D systems." International Journal of Applied Mathematics and Computer Science 12.2 (2002): 181-195. <http://eudml.org/doc/207578>.

@article{Jank2002,

abstract = {We consider linear 2-D systems of Fornasini-Marchesini type in the continuous-time case with non-constant coefficients. Using an explicit representation of the solutions by utilizing the Riemann-kernel of the equation under consideration, we obtain controllability and observability criteria in the case of the inhomogeneous equation, where control is obtained by choosing the inhomogeneity appropriately, but also for the homogeneous equation, where control is obtained by steering with Goursat data. The optimal control problem with a quadratic cost functional is also solved.},

author = {Jank, Gerhard},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {2-D continuous-time systems; observability; optimal control; controllability; quadratic cost; 2-D linear systems; linear hyperbolic system; Goursat conditions; Riemann kernel function; integral equation of Volterra type},

language = {eng},

number = {2},

pages = {181-195},

title = {Controllability, observability and optimal control of continuous-time 2-D systems},

url = {http://eudml.org/doc/207578},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Jank, Gerhard

TI - Controllability, observability and optimal control of continuous-time 2-D systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 2

SP - 181

EP - 195

AB - We consider linear 2-D systems of Fornasini-Marchesini type in the continuous-time case with non-constant coefficients. Using an explicit representation of the solutions by utilizing the Riemann-kernel of the equation under consideration, we obtain controllability and observability criteria in the case of the inhomogeneous equation, where control is obtained by choosing the inhomogeneity appropriately, but also for the homogeneous equation, where control is obtained by steering with Goursat data. The optimal control problem with a quadratic cost functional is also solved.

LA - eng

KW - 2-D continuous-time systems; observability; optimal control; controllability; quadratic cost; 2-D linear systems; linear hyperbolic system; Goursat conditions; Riemann kernel function; integral equation of Volterra type

UR - http://eudml.org/doc/207578

ER -

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