Abstract
We show that given any μ > 1, an equilibrium x of a dynamic system (Formula Presented) can be robustly stabilized by a nonlinear control (Formula Presented) for f′(x) ∈ (−μ, 1). The magnitude of the minimal value N is of order (Formula Presented). The optimal explicit strength coefficients are found using extremal nonnegative Fejér polynomials. The case of a cycle as well as numeric examples and applications to mathematical biology are considered.
Original language | American English |
---|---|
Title of host publication | Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón |
DOIs | |
State | Published - Oct 15 2014 |
Keywords
- Dynamic system
- Extremal nonnegative Fejér polynomials
- Mathematical biology
- Nonlinear control
DC Disciplines
- Education
- Mathematics