WebSome counterexamples: Let f ( x) = − x 2, and x ( 0) = − 1. This ODE blows up in finite time toward − ∞. But ∫ − 1 ∞ d x / f ( x) diverges due to the singularity at x = 0. Similarly, for any f ( x) ≥ 0 such that f ( 0) = 0, for any initial value x ( 0) < 0 we must have x ( 0) ≤ x ( t) ≤ 0 for any t > 0. Hence we have global ... WebJul 19, 2024 · In the other direction, into the future, time seems to be unbounded, though this is less certain, it depends very precisely on several cosmological parameters, whose …
Transformation optics using finite-difference time-domain method
WebApr 12, 2024 · We study finite-time horizon continuous-time linear-quadratic reinforcement learning problems in an episodic setting, where both the state and control coefficients are … WebOct 19, 2024 · The finite-time stability analysis in a quantitative sense is reviewed, and a variety of stability results including state transition matrix conditions, the piecewise … phipps close deakin
Finite-time $$H_{\infty }$$ control of uncertain fractional-order ...
WebMay 16, 2005 · In this note, we consider the finite-time stabilization of discrete-time linear systems subject to disturbances generated by an exosystem. Finite-time stability can be used in all those applications where large values of the state should not be attained, for instance in the presence of saturations. The main result provided in the note is a … WebJun 13, 2008 · Abstract: Finite-time stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Since finite-time convergence implies non-uniqueness of system solutions in backward time, such … WebDhawan, P & Paradkar, BS 2024, Transformation optics using finite-difference time-domain method. in S-Y Lin, A Scherer & A Adibi (eds), Photonic and Phononic Properties of Engineered Nanostructures IX., 109270E, Proceedings of SPIE - The International Society for Optical Engineering, vol. 10927, SPIE, Photonic and Phononic Properties of ... tsp evry annuaire