1c:I[419806,["/_next/static/chunks/bb923814e1f4d2e9.js","/_next/static/chunks/dd3ee9f5b7716ca6.js","/_next/static/chunks/4204a0ae82542ca8.js","/_next/static/chunks/30036bedc5269936.js","/_next/static/chunks/6e1aa89a642f40be.js","/_next/static/chunks/cd5e572bc3e4eb92.js","/_next/static/chunks/8ffd0b71567920d8.js","/_next/static/chunks/67ea6dfd21f16c5f.js","/_next/static/chunks/24eb4379f68013fd.js","/_next/static/chunks/b8cd775ffdf935bd.js","/_next/static/chunks/983103cd9eb7b428.js","/_next/static/chunks/d4ac9dcf27f6ff52.js","/_next/static/chunks/294b9525248c8e5f.js"],"default"] 1d:T4fc,Recent results have established necessary and sufficient conditions for a nonlinear system of the form \dot{x}(t) = f(x(t))-u(t)g(x(t)) . with f(0) = 0 , to be locally equivalent in a neighborhood of the origin in R ⁿ to a controllable linear system. We combine these results with several versions of the global inverse function theorem to prove sufficient conditions for the transformation of a nonlinear system to a linear system. In doing so we introduce a technique for constructing a transformation under the assumptions that {g\ldot[f\dotg],...,(ad^{n-1}f\ldotg)} span an n -dimensional space and that {g\ldot[f\ldot g],...,(ad^{n-2}f\ldotg)} is an involutive set.

	Year	Citations

References