Intro
Preface
Contents
Null Controllability of a Nonlinear Population Dynamics with Age Structuring and Spatial Diffusion
1 Introduction and Mains Results
2 Approximate Null Controllability of an Auxiliary System
2.1 Observability Inequality
2.2 Proof of the Observability Inequality
2.3 Proof of the Approximate Null Controllability of the Auxiliary System
3 Null Controllability of the Nonlinear System
4 Numerical Simulations
4.1 Discretization and Simulation of Uncontrolled System
4.2 Construction of the Control and Numerical Simulation
5 Conclusion

3.2 Dynamic Programming Principle
4 Stochastic Optimization and Numerical Simulations in the Case of Single Site
4.1 Stochastic Optimization
4.1.1 Position of the Problem
4.1.2 Dynamic Programming Principle
4.1.3 Existence and Uniqueness
4.2 Numerical Simulations
References
A Hurwitz Like Characterization of GUAS Planar Switched Systems
1 Introduction
2 Mathematical Preliminaries
2.1 Stability Notions
2.2 A Useful Real Algebraic Geometry Tool
3 Stability Behavior of a Switched Planar System
3.1 Statement of Our Main Result