Solution Examples on Ellipsoidal Methods: Computation in High Dimensions
- 917 Downloads
In this chapter we describe solution examples for controlled systems that illustrate the contents of Chaps. 1– 3. These include the multiple integrator, planar Newtonian motions and calming down a chain of springs. Special sections are devoted to relevant computational formulas and high-dimensional systems. Also discussed are possible degeneracy effects in computation and the means of their avoidance.
KeywordsMultiple integrator Newtonian motion Oscillating system Graphic illustration Regularization High dimensions
- 57.Daryin, A.N., Kurzhanski, A.B.: Estimation of reachability sets for large-scale uncertain systems: from theory to computation. In: Proceedings of CDC-2012 (2012)Google Scholar
- 90.Godunov, S.K.: Ordinary Differential Equations with Constant Coefficients, vol. 169. AMS Bookstore, Providence (1997)Google Scholar
- 132.Kurzhanskiy, A.A., Varaiya, P.: Ellipsoidal Toolbox. University of California at Berkeley. http://code.google.com/p/ellipsoids/ (2005)