State-transition matrix: Difference between revisions

Revision as of 18:38, 7 February 2011

Revision as of 18:45, 7 February 2011

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:<math>\frac{\partial \phi(t, t_0)}{\partial t} = A(t)\phi(t, t_0)</math> and

:<math>\phi(\tau, \tau) = I</math> for all <math>\tau</math> and where <math>I</math> is the [[identity matrix]].<ref>{{cite book|first=Roger W.|last=Brockett|title=Finite Dimensional Linear Systems|publisher=John Wiley & Sons|year=1970|isbn=9780471105855}}</ref>

And &phi; also must have the following properties:

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| isbn = 0135897637

}}

{{Reflist}}

{{Wikibooks|Control Systems/Time Variant System Solutions}}