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• W2023384404 abstract "In this paper we consider the computation of reachable, viable and invariant sets for discrete-time systems. We use the framework of type-two effectivity, in which computations are performed by Turing machines with infinite input and output tapes, with the representations of computable topology. We see that the reachable set is lower-semicomputable, and the viability and invariance kernels are upper-semicomputable. We then define an upper-semicomputable over-approximation to the reachable set, and lower-semicomputable under-approximations to the viability and invariance kernels, and show that these approximations are optimal." @default.
• W2023384404 created "2016-06-24" @default.
• W2023384404 creator A5019902087 @default.
• W2023384404 date "2007-05-07" @default.
• W2023384404 modified "2023-10-17" @default.
• W2023384404 title "Optimal Semicomputable Approximations to Reachable and Invariant Sets" @default.
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• W2023384404 doi "https://doi.org/10.1007/s00224-006-1338-3" @default.
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