How violent are fast controls?, II | Zendy

Thomas I. Seidman | Zendy; Jiongmin Yong | Zendy

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How violent are fast controls?, II

Author(s) -

Thomas I. Seidman,

Jiongmin Yong

Publication year - 1996

Publication title -

mathematics of control signals and systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.856

H-Index - 39

eISSN - 1435-568X

pISSN - 0932-4194

DOI - 10.1007/bf01211854

Subject(s) - duration (music) , norm (philosophy) , control theory (sociology) , mathematics , zero (linguistics) , state (computer science) , control (management) , computer science , algorithm , physics , philosophy , political science , artificial intelligence , law , linguistics , acoustics

For a linear autonomous system, if a state is reachable from zero in some time duration, then it is reachable within any positive time duration. However, the norm of the control that steers the zero state to the given reachable state increases as the available control time shrinks. This paper gives the asymptotics of minimalLp-norm controls as the time duration goes to zero; there are also some further remarks for other related norms.

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