THE METHOD OF SPLITTING OPERATORS AND LYAPUNOV MAJORANTS IN PERTURBATION LINEAR ALGEBRA AND CONTROL

摘要: ABSTRACT In this paper we give a survey of recent results as well new in perturbation linear algebra and control, based on the method splitting operators Lyapunov majorant functions. Combined with Schauder or Banach fixed point principles, allows to obtain rigorous non-local bounds for set important objects control theory. Among them are Schur system matrix, QR decomposition orthogonal canonical forms time-invariant system, state output feedback gains pole assignment synthesis, generalized pair matrices, polar Hamiltonian block-Schur others. We also consider some other issues such analysis problems non-unique solution construction improved asymptotic bounds. An technique considered is constructi...