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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pro-étale cohomology of affine spaces
仿射空间 亲上同调 [LB18， §3]
2023/5/6
Cover [LB18, §3]. If possible, comment on another proof [CN20].
Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization
Piecewise-affine systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/8/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Quadratic approximate dynamic programming for input-affine systems
approximate dynamic programming stochastic control convex optimization
2015/8/7
We consider the use of quadratic approximate value functions for stochastic control problems with input-affine dynamics and convex stage cost and constraints. Evaluating the approximate dynamic progra...
A perspective-based convex relaxation for switched-affine optimal control
Switched-affne systems optimal control mixed-integer convex programming hybrid systems disjunctive programming.
2015/8/7
We consider the switched-affine optimal control problem, i.e., the problem of selecting a sequence of affine dynamics from a finite set in order to minimize a sum of convex functions of the system sta...
Piecewise Affine Selections for Piecewise Polyhedral Multifunctions and Metric Projections
Piecewise Affine Selections Piecewise Polyhedral Multifunctions Metric Projections
2009/1/13
Piecewise polyhedral multifunctions are the set-valued version of piecewise affine functions. We investigate selections of piecewise polyhedral multifunctions, in particular, the least norm selection ...