Abstract :
A definition of poles is presented for continuous-time, linear, time-varying systems. For a linear, time-varying state equation, a set of time-varying poles defines a stability-preserving variable change relating the original state equation to an upper triangular state equation. This definition is shown to be a generalization of existing definitions of poles of a linear, time-varying system and is consistent with the definitions for a linear, time-invariant system. A computation procedure is presented using a QR decomposition of the transition matrix for the state equation. A numerical example is given to illustrate this procedure
Keywords :
continuous time systems; linear systems; matrix algebra; poles and zeros; time-varying systems; QR decomposition; continuous-time linear time-varying systems; original state equation; stability-preserving variable change; time-varying poles; transition matrix; upper triangular state equation; Ear; Eigenvalues and eigenfunctions; Equations; H infinity control; Matrix decomposition; Poles and zeros; Robustness; Stability; Time varying systems; Transfer functions;
