1 Introduction -- 1.1 Concept of discrete-continuous (hybrid) system and some typical problems -- 1.2 Robust and non-robust discrete-continuous systems -- 1.3 The structure of the book -- 2 Discrete-continuous systems with impulse control -- 2.1 Definition of impulsive control and the system solution -- 2.2 Stability (robustness) conditions for systems with impulse control -- 2.3 Generalized solutions of systems with impulse control and their representations -- 3 Optimal impulse control problem with restricted number of impulses -- 3.1 Introduction and the problem statement -- 3.2 Auxiliary optimal control problem -- 3.3 Necessary and sufficient optimality conditions -- 4 Representation of generalized solutions via differential equations with measures -- 4.1 Generalized solutions of nonlinear differential equations -- 4.2 Generalized solutions of differential equations with affine dependence on unbounded controls -- 5 Optimal control problems within the class of generalized solutions -- 5.1 Statement of the optimal control problems with phase constraints -- 5.2 Existence of the optimal generalized solution -- 5.3 Optimal control problems for DCS with ordinary and impulse controls -- 5.4 Optimal generalized solutions in nonlinear hybrid systems -- 6 Optimality conditions in control problems within the class of generalized solutions -- 6.1 Introduction -- 6.2 Generalized maximum principle -- 6.3 Applications of generalized maximum principle -- 6.4 Generalized maximum principle in linear-convex problems -- 7 Observation control problems in discrete-continuous stochastic systems -- 7.1 Statement of the problem -- 7.2 Generalized solutions in observation control problems -- 7.3 Convex properties of observation control problems -- 7.4 Examples of observation control problems -- 7.5 Observation control problem with constrained number of the observation instants -- 8 Appendix. Differential equations with measures -- 8.1 Auxiliary results -- 8.2 Linear differential equations with a measure -- 8.3 Nonlinear differential equations with a measure.