Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions
Yury Orlov
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Springer International Publishing
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Beschreibung
Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems—those with variable structure and impact—by the involvement of nonsmooth Lyapunov functions. The general theoretical presentation is illustrated by control-related applications; the nonsmooth Lyapunov construction is particularly applied to the tuning of sliding-mode controllers in the presence of mismatched disturbances and to orbital stabilization of the bipedal gate. The nonsmooth construction is readily extendible to the control and identification of distributed-parameter and time-delay systems.
Kundenbewertungen
Impact Systems with Reset, Impact Systems with Unilateral Constraints, Distributed-Parameter Systems, Lyapunov Stability, Nonsmooth Analysis, Sliding-Mode Control, Infinite-Dimensional Systems, Time-Delay Systems, Variable Structure Systems, Bipedal Gait