Quadratic obstructions to small-time local controllability for scalar-input systems
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DOI: 10.1016/j.jde.2017.11.028
Abstract: We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e., whatever $m>0$ and $T>0$,… read more here.
Keywords: local controllability; control; time; scalar input ... See more keywords
Small-time almost-sure behaviour of extremal processes
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DOI: 10.1017/apr.2017.7
Abstract: Abstract An rth-order extremal process Δ(r) = (Δ(r) t ) t≥0 is a continuous-time analogue of the rth partial maximum sequence of a sequence of independent and identically distributed random variables. Studying maxima in continuous… read more here.
Keywords: sure behaviour; time; time almost; behaviour extremal ... See more keywords
An obstruction to small-time controllability of the bilinear Schrödinger equation
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DOI: 10.1063/5.0003524
Abstract: In this article we discuss which controllability properties of classical Hamiltonian systems are preserved after quantization. We discuss some necessary and some sufficient conditions for small-time controllability of classical systems and quantum systems using the… read more here.
Keywords: time; time controllability; controllability bilinear; small time ... See more keywords
Compact Algebraic Asymptotes for Small and Large Time Surface Temperatures for Regular Solid Bodies Heated With Uniform Heat Flux: Scrutiny of New Critical Fourier Numbers
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DOI: 10.1115/1.4047939
Abstract: The alternate infinite series at “small time” have been used to analyze the time variation of surface temperatures (ϕs) in regular solid bodies heated with uniform heat flux. In this way, compact algebraic asymptotes are… read more here.
Keywords: regular solid; surface temperatures; time; temperatures regular ... See more keywords