Nonlinear Control in the Year 2000

1. Front Matter

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2. Subanalyticity of distance and spheres in sub-riemannian geometry

   • Andrei Agrachev, Jean-Paul Gauthier

   Pages 1-8

3. Principal invariants of Jacobi curves

   • Andrei Agrachev, Igor Zelenko

   Pages 9-21

4. The de casteljau algorithm on SE(3)

   • Claudio Altafini

   Pages 23-34

5. Trajectory tracking by cascaded backstepping control for a second-order nonholonomic mechanical system

   • Nnaedozie P. I. Aneke, Henk Nijmeijer, Abraham G. de Jager

   Pages 35-47

6. Static output feedback stabilization: from linear to nonlinear and back

   • Alessandro Astolfi, Patrizio Colaneri

   Pages 49-71

7. Semi-linear diffusive representations for nonlinear fractional differential systems

   • Jacques Audounet, Denis Matignon, Gérard Montseny

   Pages 73-82

8. Controllability properties of a class of control systems on lie groups

   • Victor Ayala, Luiz A. B. San Martin

   Pages 83-92

9. Stability analysis to parametric uncertainty: Extension to the multivariable case

   • Miguel Ayala Botto, Ton van den Boom, José Sá da Costa

   Pages 93-102

10. External stability and continuous Liapunov functions

    • Andrea Bacciotti

    Pages 103-112

11. Optimal control with harmonic rejection of induction machine

    • Iyad Balloul, Mazen Alamir

    Pages 113-121

12. Nonlinear QFT synthesis based on harmonic balance and multiplier theory

    • Alfonso Baños, Antonio Barreiro, Francisco Gordillo, Javier Aracil

    Pages 123-136

13. Group invariance and symmetries in nonlinear control and estimation

    • John S. Baras

    Pages 137-169

14. A globalization procedure for locally stabilizing controllers

    • Jochen Behrens, Fabian Wirth

    Pages 171-184

15. Optimal control and implicit Hamiltonian systems

    • Guido Blankenstein, Arjan van der Schaft

    Pages 185-205

16. Robust absolute stability of delay systems

    • Pierre-Alexandre Bliman

    Pages 207-237

17. Stratification du secteur anormal dans la sphère de Martinet de petit rayon

    • Bernard Bonnard, Emmanuel Trélat

    Pages 239-251

18. Toward a nonequilibrium theory for nonlinear control systems

    • Christopher I. Byrnes

    Pages 253-275

19. A regularization of Zubov’s equation for robust domains of attraction

    • Fabio Camilli, Lars Grüne, Fabian Wirth

    Pages 277-289

20. A remark on Ryan’s generalization of Brockett’s condition to discontinuous stabilizability

    • Francesca Ceragioli

    Pages 291-297

Control of nonlinear systems, one of the most active research areas in control theory, has always been a domain of natural convergence of research interests in applied mathematics and control engineering. The theory has developed from the early phase of its history, when the basic tool was essentially only the Lyapunov second method, to the present day, where the mathematics ranges from differential geometry, calculus of variations, ordinary and partial differential equations, functional analysis, abstract algebra and stochastic processes, while the applications to advanced engineering design span a wide variety of topics, which include nonlinear controllability and observability, optimal control, state estimation, stability and stabilization, feedback equivalence, motion planning, noninteracting control, disturbance attenuation, asymptotic tracking. The reader will find in the book methods and results which cover a wide variety of problems: starting from pure mathematics (like recent fundamental results on (non)analycity of small balls and the distance function), through its applications to all just mentioned topics of nonlinear control, up to industrial applications of nonlinear control algorithms.

• Nonlinear
• Operator
• Stability
• Systems
• algorithm
• calculus
• control engineering
• dynamische Systeme
• geometry
• mechanics
• partial differential equation

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