1. CONSTRAINT PARTITIONING FOR STABILITY IN PATH-CONSTRAINED DYNAMIC OPTIMIZATION PROBLEMS.
- Author
-
Raha, Soumyendu and Petzold, Linda R.
- Subjects
ALGORITHMS ,MATHEMATICAL optimization ,LOGARITHMIC integrals ,ALGEBRAIC functions ,STABILITY (Mechanics) ,ALGEBRAIC number theory - Abstract
In this paper an algorithm for extracting a stable differential-algebraic subsystem from a path-constrained dynamical system is proposed. The subsystem may be integrated directly by a differential-algebraic system integrator to evaluate constraints in shooting- or multiple shooting- type direct methods for solving path-constrained dynamic optimization problems. The algorithm appends algebraic constraints to the unconstrained ordinary differential equation subsystem based on a stability estimate for the resulting differential-algebraic system. The logarithmic norm is used to compute a stability estimate for index 1 and index 2 subsystems. The working of the algorithm is illustrated with examples. [ABSTRACT FROM AUTHOR]
- Published
- 2001
- Full Text
- View/download PDF