Between Mathematical Programming and Systems Theory: Linear Complementarity Systems [chapter]

Hans Schumacher
2001 Systems & Control: Foundations & Applications  
Complementarity systems arise from the interconnection of an input-output system (of the type well known in mathematical systems theory) with a set of complementarity conditions (of the type well known in mathematical programming). It is shown by means of a list of examples that complementarity systems appear quite naturally in a broad range of applications. A solution concept for linear complementarity systems is provided, and conditions for existence and uniqueness of solutions are given.
doi:10.1007/978-1-4612-0179-3_11 fatcat:whgx6azyxnfhzbkas7xfn6evki