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F. Amato, C. Cosentino and A. Merola, “Sufficient Conditions for Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems,” IEEE Transactions on Automatic Control, Vol. 55, No. 2, 2010, pp. 430-434. doi:10.1109/TAC.2009.2036312

has been cited by the following article:

• TITLE: Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems

  AUTHORS: Laura Celentano

  KEYWORDS: Practical Stabilization; Linear and Nonlinear Uncertain Systems; Pseudo-Quadratic MIMO Uncertain System; Lyapunov Approach

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.1, March 21, 2013

  ABSTRACT: In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.