Internal and External Stabilization of Linear Systems with Constraints

1. Introduction
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

2. Preliminaries
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

3. A special coordinate basis (SCB) of linear multivariable systems
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

4. Constraints on inputs: actuator saturation
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

5. Robust semi-global internal stabilization
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

6. Control magnitude and rate saturation
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

7. State and input constraints: Semi-global and global stabilization in admissible set
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

8. Solvability conditions and design for semi-global and global stabilization in the admissible set
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

9. Semi-global stabilization in the recoverable region: properties and computation of recoverable regions
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

10. Sandwich systems: state feedback
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

11. Simultaneous external and internal stabilization
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

12. Simultaneous external and internal stabilization: input-additive case
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

13. Simultaneous external and internal stabilization: non-input-additive case
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

14. The double integrator with linear control laws subject to saturation
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

15. Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: continuous time
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

16. Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

17. External and internal stabilization under the presence of stochastic disturbances
Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti

Keywords: Mathematics, Systems Theory, Control, Control, Robotics, Mechatronics, Engineering Design, Vibration, Dynamical Systems, Control, Applications of Mathematics