Linearization techniques for controlled piecewise deterministic Markov processes; application to Zubov's method

DOI10.1007/S00245-012-9169-XzbMath1269.93020OpenAlexW1995171462MaRDI QIDQ2391933

Oana-Silvia Serea, Dan Goreac

Publication date: 5 August 2013

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-012-9169-x

zbMATH Keywords

gene networksviscosity solutionsgene expressionstability domainstochastic gene networkslinearization techniquesZubov's methodoccupational measurecontrolled piecewise deterministic Markov processes (PDMP)Cook's modelHamilton-Jacobi integral-differential equationinfinite horizon control problemsinfinite-dimensional set

Mathematics Subject Classification ID

Linearizations (93B18) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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