The authors proposed the development of a general multiechelon hierarchical nonlinear switching control design framework that minimizes control law complexity subject to the achievement of control law robustness. In particular, a unified dynamical systems framework for a general class of systems possessing left-continuous flows was developed. This report also discusses hybrid control, impulsive dynamical systems, nonnegative dynamical systems, compartmental systems, nonlinear switching control, and adaptive control. Areas of application for these control systems include biological systems, physiological systems, pharmacological systems, ecological systems, vibration control of aerospace structures, spacecraft stabilization, and control of combustion in jet engines. ( 7 figures, 125 refs.).


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