Geometric Control And Nonsmooth Analysis (Series on Advances in Mathematics for Applied Sciences)

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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 GrxC3;¼ne & 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).