Problems of stability and control with respect to part of variables (partial stability and control), including game-theoretical problems on partial control, naturally arise in applications and have been intensively in the second half of the 20th century. This book presents an efficient method of analysis and of control synthesis for problems on partial stability and control in dynamic systems. This method is based on efficient procedures of transformation of initial systems or their sub-systems (for controlled systems, together with a special choice of control structures) and facilitates essential simplification of solutions to problems. It is used to solve many linear and nonlinear problems, including non-linear game-theoretical problems which cannot be solved by standard methods, and it is also effective when applied in the first stages of solving problems on stability and control with respect to all variables. Space is given to non-linear game-theoretical problems retical problems of reorientation of an asymetric solid. Many examples (including computer simulations) considered in the book demonstrate the efficiency of the method.