Finite extinction and null controllability via delayed feedback non-local actions

Casal, Alfonso C.; Díaz, Jesús Ildefonso Díaz; Vegas, José Manuel

doi:10.1016/j.na.2009.03.008

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Cited by 3 publications

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“…Non-Lipschitz continuous functions which is not differentiable in dome point have been extensively studied in [56,57]. Motivated by this, we give an example whose activation functions are not differentiable in dome point.…”

Section: Remarkmentioning

confidence: 99%

Exponential stability of equilibria of differential equations with time-dependent delay and non-Lipschitz nonlinearity

Song

Peng

2010

Nonlinear Analysis: Real World Applications

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Section: Remarkmentioning

confidence: 99%

Exponential stability of equilibria of differential equations with time-dependent delay and non-Lipschitz nonlinearity

Song

Peng

2010

Nonlinear Analysis: Real World Applications

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Finite extinction time property for a delayed linear problem on a manifold without boundary

Casal¹,

Vegas²

2011

Conference Publications 2011

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Finite extinction and control in some delay models

Casal¹,

Vegas²

2012

Differential Equations &Amp; Applications

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Abstract. For a controllable linear time-invariant system x = Ax+bu(t) in R n a general delayed feedback action u(t) = −k(t)u(t − τ) is proposed so that the solutions of the closed-loop system x = Ax − bk(t)x(t − τ) are driven to zero in finite time. Optimality with respect to some integral performance indices is also analyzed.Mathematics subject classification (2010): 35R10, 35R35, 35K20.

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Finite extinction and null controllability via delayed feedback non-local actions

Cited by 3 publications

References 6 publications

Exponential stability of equilibria of differential equations with time-dependent delay and non-Lipschitz nonlinearity

Exponential stability of equilibria of differential equations with time-dependent delay and non-Lipschitz nonlinearity

Finite extinction time property for a delayed linear problem on a manifold without boundary

Finite extinction and control in some delay models

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