On the Ψ - Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations

[1] G. Ascoli, Osservazioni sopre alcune questioni di stabilita, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat., 8 (9), (1950), 129-134Search in Google Scholar

[2] R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Book Company, Inc. New York (translated in Romanian), 1960Search in Google Scholar

[3] W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company, Boston, 1965Search in Google Scholar

[4] A. Diamandescu, On Ψ-stability of a nonlinear Lyapunov matrix differential equations, Electronic Journal of Qualitative Theory Differential Equations, 54, (2009), 1-1810.14232/ejqtde.2009.1.54Search in Google Scholar

[5] A. Diamandescu, On Ψ-asymptotic stability of nonlinear Lyapunov matrix differential equations, Analele Universităţii de Vest, Timişoara, Seria Matematică - Infomatică, L (1), (2012), 03-2510.2478/v10324-012-0001-8Search in Google Scholar

[6] A. Diamandescu, On the Ψ-strong stability of nonlinear Lyapunov matrix differential equations, to appearSearch in Google Scholar

[7] A. Diamandescu, On the Ψ-uniform asymptotic stability of a nonlinear Volterra integro-differential system, Analele Universităţii din Timişoara, Seria Matematică - Informatică, XXXIX (2), (2001), 35-62Search in Google Scholar

[8] A. Diamandescu, On the Ψ-instability of nonlinear Lyapunov matrix differential equations, Analele Universităţii de Vest, Timişoara, Seria Matematică - Informatică, XLIX (1), (2011), 21-37Search in Google Scholar

[9] A. Diamandescu, Note on the existence of a Ψ bounded solution for a Lyapunov matrix differential equation, Demonstrate Mathematica, XLV (3), (2012), 549-56010.1515/dema-2013-0400Search in Google Scholar

[10] J.L. Massera, Contributions to stability theory, Ann. of Math., 64, (1956), 182-20610.2307/1969955Search in Google Scholar

[11] M.S.N. Murty and G. Suresh Kumar, On dichotomy and conditioning for twopoint boundary value problems associated with first order matrix Lyapunov systems, J. Konan Math. Soc. 45, 5, (2008), 1361-137810.4134/JKMS.2008.45.5.1361Search in Google Scholar

[12] T. Yoshizawa, Stability Theory by Lyapunov’s Second Method, The Mathematical Society of Japan, 1966 Search in Google Scholar