Numerical and Analytical Methods of Study of Stochastic Systems with Delay
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DOI: 10.1007/s10958-018-3782-4
Abstract: This paper is a brief review of methods of qualitative and quantitative study of various classes of stochastic systems with aftereffect. We describe schemes of analysis of stochastic ordinary and partial differential and integrodifferential equations,… read more here.
Keywords: study stochastic; stochastic systems; methods study; analytical methods ... See more keywords
Backstepping for Uncertain Nonlinear Systems with a Delay in the Control
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DOI: 10.1016/j.ifacol.2021.06.137
Abstract: Abstract The recent new backstepping control design strategy based on the introduction of artificial delays and/or dynamic extensions is adapted to a family of systems. That way, globally asymptotically stabilizing control laws for fundamental systems… read more here.
Keywords: control; uncertain nonlinear; backstepping uncertain; nonlinear systems ... See more keywords
Geometric methods of global attraction in systems of delay differential equations
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DOI: 10.1016/j.jde.2017.07.001
Abstract: Abstract In this paper we deduce criteria of global attraction in systems of delay differential equations. Our methodology is new and consists in “dominating” the nonlinear terms of the system by a scalar function and… read more here.
Keywords: differential equations; global attraction; attraction systems; systems delay ... See more keywords
Some Properties for Solutions of Riemann-Liouville Fractional Differential Systems with a Delay
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DOI: 10.1155/2018/4151089
Abstract: In this paper, we study properties for solutions of Riemann-Liouville (R-L) fractional differential systems with a delay. Some results on integral inequalities are first presented by Ho¨lder inequality. Then we investigate properties on solutions for… read more here.
Keywords: properties solutions; solutions riemann; liouville fractional; fractional differential ... See more keywords