Abstract
We study the robustness of boundedness of solutions of nonlinear dynamical systems. A sufficient coordinate-free technical condition on the characterization of unmodelled effects is given. This characterization with some analogy with the input to state stability of [16] has the potential to encompass most classical uncertainties. In this context, we establish Lagrange stability results which look very much like a small gain theorem. We illustrate the use of these technical results in the robust stabilization problem by a class of interconnected systems.
Original language | English (US) |
---|---|
Pages (from-to) | 67-78 |
Number of pages | 12 |
Journal | Systems and Control Letters |
Volume | 23 |
Issue number | 1 |
DOIs | |
State | Published - Jul 1994 |
Keywords
- Nonlinear dynamical systems
- boundedness
- input to state stability
- robustness
- unmodelled effects
ASJC Scopus subject areas
- Control and Systems Engineering
- General Computer Science
- Mechanical Engineering
- Electrical and Electronic Engineering