This comprehensive treatment provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation, with self-contained chapters for easy reference. The authors offer a wide variety of techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. 1995 edition. Reprint of the Academic Press, San Diego, 1995 edition.
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Stability Theory and Its Applications to Structural Mechanics by Clive L. Dym Self-contained text focuses on Koiter postbuckling analyses, with mathematical notions of stability of motion. It develops analyses from potential energy considerations, with applications to columns, plates, and arches. 1974 edition.