Regulated function

Probability Distribution Density of the Amplitude and Phase of the Target Return Signal

Published in Vyacheslav P. Tuzlukov, Signal and Image Processing in Navigational Systems, 2018

density is the regulated function. The envelope of the power spectral density is defined by the Fourier transform for the correlation function Rentψ*,τ and depends on the parameter t.

Asymptotic stability of a periodic GA-predation system with infinite distributed lags on time scales

View Article

Journal Information

Published in International Journal of Control, 2023

Kaihong Zhao

Assume is a regulated function. Any function F as in Lemma 2.1 is called a Δ-antiderivative of u. The indefinite integral of a regulated function u is defined by here C is an arbitrary constant and F is a Δ-antiderivative of u. We define the definite integral by A function is called an antiderivative of provided

On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations

View Article

Journal Information

Published in International Journal of Control, 2021

Do Duc Thuan, Khong Chi Nguyen, Nguyen Thu Ha, Pham Van Quoc

A regulated function f is called rd-continuous if it is continuous at every right-dense point, and ld-continuous if it is continuous at every left-dense point. It is easy to see that a function is continuous if and only if it is both rd-continuous and ld-continuous. The set of rd-continuous functions defined on the interval J valued in X will be denoted by

Controllability results for singular switched system on time scales

View Article

Journal Information

Published in Journal of Control and Decision, 2023

Muslim Malik, Bhim Kumar

An indefinite integral of a regulated function is defined by , where X be a constant. Also, we can expressed the Cauchy integral by

Regulated function

Explore chapters and articles related to this topic

Probability Distribution Density of the Amplitude and Phase of the Target Return Signal

Asymptotic stability of a periodic GA-predation system with infinite distributed lags on time scales

On stability, Bohl exponent and Bohl–Perron theorem for implicit dynamic equations

Controllability results for singular switched system on time scales