Results 21 to 30 of about 100 (95)
Vector dissipativity theory for large‐scale impulsive dynamical systems
Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 225-262, 2004., 2004 Modern complex large‐scale impulsive systems involve multiple modes of operation placing stringent demands on controller analysis of increasing complexity. In analyzing these large‐scale systems, it is often desirable to treat the overall impulsive system as a collection of interconnected impulsive subsystems.
Wassim M. Haddad +3 more
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Numerical Methods for Delayed Differential Equations with Discontinuites [PDF]
, 2014 The numerical approximation of higher order are used to solve differential equations with discontinuous solutions and fixed time delay. The accuracy of these methods is investigated.
Zeinev, A. +4 more
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Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays
Open Mathematics, 2019 In this paper, we consider a nonautonomous two-species impulsive competitive system with infinite delays. By the impulsive comparison theorem and some mathematical analysis, we investigate the permanence, extinction and global attractivity of the system,
He Mengxin, Li Zhong, Chen Fengde
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Periodic boundary value problems for impulsive neutral differential equations with multi-deviation arguments [PDF]
, 2010 We develop the impulsive inequality and the classical lower and upper solutions, and establish the comparison principles. By using these results and the monotone iterative technique, we obtain the existence of solutions of periodic boundary value ...
Jianhua Shen +5 more
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Robust dissipativity for uncertain impulsive dynamical systems
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 119-128, 2003., 2003 We discuss the robust dissipativity with respect to the quadratic supply rate for uncertain impulsive dynamical systems. By employing the Hamilton‐Jacobi inequality approach, some sufficient conditions of robust dissipativity for this kind of system are established.
Bin Liu, Xinzhi Liu, Xiaoxin Liao
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Analyzing a generalized pest-natural enemy model with nonlinear impulsive control
Open Mathematics, 2018 Due to resource limitation, nonlinear impulsive control tactics related to integrated pest management have been proposed in a generalized pest-natural enemy model, which allows us to address the effects of nonlinear pulse control on the dynamics and ...
Li Changtong, Tang Sanyi
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Demonstratio Mathematica, 2020 Riemann-Liouville fractional differential equations with a constant delay and impulses are studied in this article. The following two cases are considered: the case when the lower limit of the fractional derivative is fixed on the whole interval of ...
Hristova Snezhana G., Tersian Stepan A.
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A second‐order impulsive Cauchy problem
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 8, Page 451-461, 2002., 2002 We study the existence of mild and classical solutions for an abstract second‐order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)). △u˙(ti)=Ii2 (u˙ (ti+)) where A is the infinitesimal generator of a strongly continuous cosine family of linear operators on a Banach space X ...
Eduardo Hernández Morales
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Open Mathematics, 2020 The aim of this study is to investigate the finite approximate controllability of certain Hilfer fractional evolution systems with nonlocal conditions. To achieve this, we first transform the mild solution of the Hilfer fractional evolution system into a
Liu Xianghu
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Impulsive functional‐differential equations with nonlocal conditions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 251-256, 2002., 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
wiley +1 more source