Lyapunov methods in nonsmooth optimization, Part II: Persistently exciting finite differences

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2000, Pages 118-123

  Teel, A R ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; IDENTIFICATION (CONTROL SYSTEMS); OPTIMIZATION; PERTURBATION TECHNIQUES; STOCHASTIC CONTROL SYSTEMS; THEOREM PROVING;

DIFFERENTIAL INCLUSIONS; NONSMOOTH OPTIMIZATION; SIMULTANEOUS PERTURBATION STOCHASTIC APPROXIMATION;

LYAPUNOV METHODS;

EID: 0034438727     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (27)

1. Exponential stability of linear equations arising in adaptive identification
2. Multidimensional stochastic approximation methods
3. Asymptotic stability and smooth Lyapunov functions
4. Recent progress in unconstrained nonlinear optimization without derivatives
5. Direct search methods on parallel machines
6. Differential Equations with Discontinuous Righthand Sides
7. SPSA for non-smooth optimization with application in ECG analysis
8. Stochastic estimation of a regression function
9. Stochastic approximation methods for constrained and unconstrained systems
10. Nondifferentiable optimization
11. A simplex method for function minimization
12. Solving smooth and nonsmooth multivariable extremum seeking problems by the methods of nonlinear programming
13. An efficient method for finding the minimum of a function of several variables without calculating derivatives
14. A new algorithm for unconstrained optimization
15. Discontinuous feedback and universal adaptive stabilization
16. Lyapunov stability theory of nonsmooth systems
17. Multivariate stochastic approximation using a simultaneous perturbation gradient approximation
18. Lyapunov methods in nonsmooth optimization, Part I: Quasi-Newton algorithms for Lipschitz, regular functions
19. A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions
20. Results on converse Lyapunov functions from class-KL estimates
21. On the convergence of the multidirectional search algorithm
22. On the convergence of pattern search algorithms
23. Function minimization by interpolation in a data table
24. Attraction of trajectories of finite-difference inclusions and stability of numerical methods of stochastic nonsmooth optimization