Recent Trends in Mathematical Systems Theory and their Possible Impact on Applications
The traditional view of control theory in applied sciences — outside engineering — reflects the state of art twenty years ago when control theory was considered as being identical with optimal control. This attitude has in part prevented the inflow of new ideas from system theory into bio- and social sciences. The range of optimal control methods is limited by the requirements that precise mathematical models are available. Modern geometric control theory has found various ways to overcome this obstacle by generalizing concepts from linear to nonlinear situations.
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