On invariant polyhedra of continuous-time linear systems
- 1 November 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 38 (11) , 1680-1685
- https://doi.org/10.1109/9.262058
Abstract
This note presents some conditions of existence of positively invariant polyhedra for linear continuous-time systems. These conditions are first described algebraically, then interpreted on the basis of the system eigenstructure. Then, a simple state-feedback placement method is described for solving some linear regulation problems under constraints.<>Keywords
This publication has 5 references indexed in Scilit:
- Constrained regulation of linear continuous-time dynamical systemsSystems & Control Letters, 1989
- Regulator problem for linear discrete-time systems with non-symmetrical constrained controlInternational Journal of Control, 1988
- Linear Multivariable ControlPublished by Springer Nature ,1985
- Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theoryInternational Journal of Control, 1976
- Cross-Positive MatricesSIAM Journal on Numerical Analysis, 1970