Stochastic viability and dynamic programming

Set invariance in control

Franco Blanchini · Automatica · 1999 · 2.3K citations

Natural Sciences, Autonomous Systems, Dynamical Systems +7

Linear systems with state and control constraints: the theory and application of maximal output admissible sets

Éric Gilbert, Kok Tin Tan · IEEE Transactions on Automatic Control · 1991 · 1.6K citations

Natural Sciences, Mathematics, Systems Engineering +16

Qualitative properties of trajectories of control systems: A survey

Peter Clarke, Yu. S. Ledyaev, Ronald J. Stern et al. · Journal of Dynamical and Control Systems · 1995 · 178 citations

Engineering, Mathematics, Systems Engineering +14

On the positive invariance of polyhedral sets for discrete-time systems

Georges Bitsoris · Systems & Control Letters · 1988 · 175 citations

Natural Sciences, Computer Science, Mathematics +14

The viability theorem for stochastic differential inclusions²

Jean‐Pierre Aubin, Giuseppe Da Prato · Stochastic Analysis and Applications · 1998 · 131 citations

Engineering, Mathematics, Dynamical Systems +11