Abstract
After a formal introduction to the content of the thesis in the first chapter, in Chapter 2 we take up the controllability problem for discretetime linear systems with convex conic output constraints. We provide an almost complete characterization of controllability for discretetime linear systems with convex conic constraints.
In Chapter 3 we discuss the controllability problem of Chapter 2 in absence of the conicity assumption. We further generalize the results of Chapter 2 and show that the setting we proposed for the analysis of constrained linear systems is extremely efficient in this more general case too. Hence, we manage to provide a spectral characterization of controllability for discretetime linear systems with convex output constraints, which covers all previously known results on the subject.
Chapter 4 is dedicated to the discussion of controllability for discretetime conewise linear systems. The results of Chapter 2 become handy in the analysis. We provide algebraic necessary and sufficient conditions which guarantee that the convex hull of the reachable set of the discretetime conewise linear system is the whole state space.
Chapter 5 focuses on the leftinvertibility problem for continuoustime switched linear systems. We take a geometric approach to provide necessary and sufficient conditions that are linear and hence can be checked easily.
The thesis ends with the sixth chapter, which hosts the concluding remarks.
In Chapter 3 we discuss the controllability problem of Chapter 2 in absence of the conicity assumption. We further generalize the results of Chapter 2 and show that the setting we proposed for the analysis of constrained linear systems is extremely efficient in this more general case too. Hence, we manage to provide a spectral characterization of controllability for discretetime linear systems with convex output constraints, which covers all previously known results on the subject.
Chapter 4 is dedicated to the discussion of controllability for discretetime conewise linear systems. The results of Chapter 2 become handy in the analysis. We provide algebraic necessary and sufficient conditions which guarantee that the convex hull of the reachable set of the discretetime conewise linear system is the whole state space.
Chapter 5 focuses on the leftinvertibility problem for continuoustime switched linear systems. We take a geometric approach to provide necessary and sufficient conditions that are linear and hence can be checked easily.
The thesis ends with the sixth chapter, which hosts the concluding remarks.
Translated title of the contribution  Toepassingen van geometrische controle: Systemen met een beperkte en geschakelde systemen 

Original language  English 
Qualification  Doctor of Philosophy 
Awarding Institution 

Supervisors/Advisors 

Award date  19Sep2014 
Place of Publication  [S.l.] 
Publisher  
Print ISBNs  9789036772228 
Electronic ISBNs  9789036772211 
Publication status  Published  2014 