This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups; the controllability, stabilization, and observability of bilinear systems; nonlinear systems analytically equivalent to bilinear systems; series representations for input-outputmappings; and random inputs. To assist the reader there are exercises; Mathematica scripts; and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups.Using exp(fPAPaquot;1) = PetAP~l, esC = etlBa#39;esBa#39;e-tlBa#39;- and therefore esC can be reached from I by the control sequence that assigns X the value -B; for t\ seconds, Bj for s seconds, and B; for t\ ... Then there exist values of Ap2 such that C2anbsp;...
|Title||:||Bilinear Control Systems|
|Author||:||David L. Elliott|
|Publisher||:||Springer Science & Business Media - 2009-09-01|