Invertibility of multivariable nonlinear control systems
Author :
Hirschorn, Ronald M.
Author_Institution :
Queen´´s University, Kingston, Ontario, Canada
Volume :
24
Issue :
6
fYear :
1979
fDate :
12/1/1979 12:00:00 AM
Firstpage :
855
Lastpage :
865
Abstract :
This paper gives sufficient conditions for the invertibility of nonlinear control systems of the form , where the state space is a real analytic manifold. These conditions are also necessary in the case of single-input nonlinear systems and multivariable time-invariant linear systems. For invertible systems we construct nonlinear inverse systems.
Keywords :
Inverse systems; Nonlinear systems, continuous-time; Control systems; Differential equations; Functional analysis; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Stability; State-space methods; Statistical distributions;