Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005445
URN to cite this document: urn:nbn:de:bvb:703-epub-5445-8

Title data

Grüne, Lars:
Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points.
Bayreuth , 1998

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Abstract

We discuss the relation between exponential stabilization and asymptotic controllability of nonlinear control systems with constrained control range at singular points. Using a discounted optimal control approach we construct discrete feedback laws minimizing the Lyapunov exponent of the linearization. Thus we obtain an equivalence result between uniform exponential controllability and uniform exponential stabilizability by means of a discrete feedback law.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erschienen In: SIAM Journal on Control and Optimization. Bd. 36 (1998) Heft 5 . - S. 1485-1503
Keywords:	Stabilization of nonlinear system by feedback; Nonlinear control systems; Singular points; Lyapunov exponents; Discounted optimal control problems; Discrete feedback control; Robustness of discrete feedback control; Interrelation between controllability and stabilization; Uniform exponential controllabiltiy; Uniform exponential stabilizability; Inverted pendulum
DDC Subjects:	500 Science 500 Science > 510 Mathematics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-5445-8
Date Deposited:	06 May 2021 07:28
Last Modified:	06 May 2021 07:28
URI:	https://epub.uni-bayreuth.de/id/eprint/5445

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