Linear, Time-varying Approximations to Nonlinear Dynamical Systems : with Applications in Control and Optimization - Tomas-Rodriguez, Maria; Banks, Stephen P.; SpringerLink (Online service) (London : Springer London : Imprint: Springer, 2010)
to Nonlinear Systems -- Linear Approximations to Nonlinear Dynamical Systems -- The Structure and Stability of Linear, Time-varying Systems -- General Spectral Theory of Nonlinear Systems -- Spectral Assignment in Linear, Time-varying Systems -- Optimal Control -- Sliding Mode Control for Nonlinear Systems -- Fixed Point Theory and Induction -- Nonlinear Partial Differential Equations -- Lie Algebraic Methods -- Global Analysis on Manifolds -- Summary, Conclusions and Prospects for Development.
Keywords: Dynamics; Ergodic theory; Operations research; Management science; Control engineering; Mathematical optimization; Statistical physics; Dynamical systems; System theory; Dynamical Systems and Ergodic Theory; Operations Research, Management Science; Control and Systems Theory; Optimization; Complex Systems; Systems Theory, Control