Lyapunov stability theory of nonsmooth systems
D Shevitz, B Paden - IEEE Transactions on automatic control, 1994 - ieeexplore.ieee.org
This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle
for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely
continuous state trajectories. Computable tests based on Filipov's differential inclusion and
Clarke's generalized gradient are derived. The primary use of these results is in analyzing
the stability of equilibria of differential equations with discontinuous right-hand side such as
in nonsmooth dynamic systems or variable structure control.<>
for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely
continuous state trajectories. Computable tests based on Filipov's differential inclusion and
Clarke's generalized gradient are derived. The primary use of these results is in analyzing
the stability of equilibria of differential equations with discontinuous right-hand side such as
in nonsmooth dynamic systems or variable structure control.<>
Lyapunov stability theory of nonsmooth systems
D Shevitz, B Paden - Proceedings of 32nd IEEE Conference on …, 1993 - ieeexplore.ieee.org
This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle
for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely
continuous state trajectories. Computable tests based on Filippov's differential inclusion and
Clarke's generalized gradient (1983) are derived. The primary use of these results is in
analyzing the stability of equilibria of differential equations with discontinuous right hand
side such as in nonsmooth dynamic systems or variable structure control.<>
for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely
continuous state trajectories. Computable tests based on Filippov's differential inclusion and
Clarke's generalized gradient (1983) are derived. The primary use of these results is in
analyzing the stability of equilibria of differential equations with discontinuous right hand
side such as in nonsmooth dynamic systems or variable structure control.<>
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