Nonlinear Systems: Stability and stabilization, Volume 2
A.J. Fossard, D. Normand-Cyrot
Springer Science & Business Media, Jul 31, 1996 - Technology & Engineering - 244 pages
Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.
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algorithm assume attractive domain attractor Benzaouia bifurcation Burgat characteristic multipliers chosen closed-loop system coefficients comparison system compute constraints continuous-time convergence corresponding defined denoted determined diffeomorphism differential equation discrete-time domain of linear dynamical systems dynamically equivalent eigenvalues eigenvectors equilibrium point example exponentially feedback matrix field f Figure fixed point function V(xk given globally asymptotically stable hyperbolic initial condition integral curve invariant and asymptotically L-stable lemma Lie derivative linear behavior linear system linear system 4.25 linear tangent system Lyapunov equation Lyapunov function M-matrix matrix F method neighborhood NHOS nonlinear system nonsingular normal form notion obtained open-loop system optimization origin overvaluing system parameters periodic orbit perturbations polynomial positive definite positively invariant set problem Proof properties Remark resonant resp satisfying scalar semi-global singular point solution stabilizable theorem time-invariant time-varying time-varying systems unstable VC(F vector field vector norm verifies xlQxk
Page vi - Structured by exchanges and reflections, this group therefore wished to make a certain inventory of the knowledge of “modern” automatic nonlinear control, to think about the applicability to new methods on long term and short term, to introduce them in a form which should be as tutorial as possible both in the initial training of engineers and for the necessary transfer to the research departments in industry.