Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues

Kaili Zhuang

doi:10.1007/s11401-016-0974-4

Chinese Annals of Mathematics, Series B ›› 2016, Vol. 37 ›› Issue (4) : 503 -514. DOI: 10.1007/s11401-016-0974-4

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Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues

Kaili Zhuang ¹^,^a

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Abstract

For first-order quasilinear hyperbolic systems with zero eigenvalues, the author establishes the local exact controllability in a shorter time-period by means of internal controls acting on suitable domains. In particular, under certain special but reasonable hypotheses, the local exact controllability can be realized only by internal controls, and the control time can be arbitrarily small.

Keywords

First-order quasilinear hyperbolic system / Zero eigenvalue / Exact controllability / Internal control

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Kaili Zhuang. Exact controllability with internal controls for first-order quasilinear hyperbolic systems with zero eigenvalues. Chinese Annals of Mathematics, Series B, 2016, 37(4): 503-514 DOI:10.1007/s11401-016-0974-4

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