Geometric control and nonsmooth analysis: in honor of the 73rd birthday of H. Hermes and of the 71st birthday of R.T. Rockafellar

Fabio Ancona, Fabio Ancona, A. Bressan, Piermarco Cannarsa9812776060, 9789812776068

The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Contents: Multiscale Singular Perturbations and Homogenization of Optimal Control Problems (M Bardi et al.); Patchy Feedbacks for Stabilization and Optimal Control: General Theory and Robustness Properties (F Ancona & A Bressan); Sensitivity of Control Systems with Respect to Measure-Valued Coefficients (Z Artstein); Systems with Continuous Time and Discrete Time Components (A Bacciotti); A Review on Stability of Switched Systems for Arbitrary Switchings (U Boscain); Regularity Properties of Attainable Sets under State Constraints (P Cannarsa et al.); A Generalized Hopf Lax Formulas: Analytical and Approximations Aspects (I Capuzzo Dolcetta); Regularity of Solutions to One-Dimensional and Multi-Dimensional Problems in the Calculus of Variations (F H Clarke); Stability Analysis of Sliding Mode Controllers (F H Clarke & R B Vinter); Generalized Differentiation of Parameterized Families of Trajectories (M Garavello et al.); Sampled-Data Redesign for Nonlinear Multi-Input Systems (L Grüne & K Worthmann); On the Definition of Trajectories Corresponding to Generalized Controls on the Heisenberg Group (P Mason); Characterization of the State Constrained Bilateral Minimal Time Function (C Nour); Existence and a Decoupling Technique for the Neutral Problem of Bolza with Multiple Varying Delays (N L Ortiz); Stabilization Problem for Nonholonomic Control Systems (L Rifford); Proximal Characterization of the Reachable Sets for a Discontinuous Differential Inclusion (V R Rios & P R Wolenski); Linear-Convex Control and Duality (R T Rockafellar & R Goebel); Strong Optimality of Singular Trajectories (G Stefani); High-Order Point Variations and Generalized Differentials (H Sussmann).