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Optimization of Neutral Functional-Differential Inclusions
Journal of Dynamical and Control Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mahmudov, Elimhan, Mastaliyeva, Dilara
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Existence for Impulsive Semilinear Functional Differential Inclusions
Qualitative Theory of Dynamical Systems, 2021In this paper authors, investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler's fixed point theorem for multivalued contractions.
Yan Luo, Weibing Wang
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Generalized Lyapunov approach for functional differential inclusions
Automatica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuowei Cai, Lihong Huang
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Nonlinear Analysis: Theory, Methods & Applications, 2011
The aim of this paper is the study of functional differential equations with discontinuous right-hand side. In order to implement the fundamental idea of Filippov's theory and to define an analog of a solution in the Filippov sense, the authors suggest a formal procedure of obtaining a functional differential inclusion from a general functional ...
Shlykova, Irina +2 more
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The aim of this paper is the study of functional differential equations with discontinuous right-hand side. In order to implement the fundamental idea of Filippov's theory and to define an analog of a solution in the Filippov sense, the authors suggest a formal procedure of obtaining a functional differential inclusion from a general functional ...
Shlykova, Irina +2 more
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The Problem of Survivability on Functional-Differential Inclusions
Cybernetics and Systems Analysis, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Necessary conditions for functional differential inclusions
Applied Mathematics & Optimization, 1996The authors derive a necessary optimality condition in the form of a Hamiltonian inclusion for functional differential inclusions with finite-dimensional terminal constraints. A number of technical difficulties have to be solved in order to deal with the state space of continuous functions. For control problems, an adjoint equation is derived.
Clarke, F. H., Wolenski, P. R.
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Monotone trajectories of differential inclusions and functional differential inclusions with memory
Israel Journal of Mathematics, 1981The paper gives a necessary and sufficient condition for the existence of monotone trajectories to differential inclusionsdx/dt ∈S[x(t)] defined on a locally compact subsetX ofRp, the monotonicity being related to a given preorder onX. This result is then extended to functional differential inclusions with memory which are the multivalued case to ...
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Differential Inclusions and Monotonicity Conditions for Nonsmooth Lyapunov Functions
Set-Valued Analysis, 2000The authors study the differential inclusion \(x'\in F(x)\), \(x\in\mathbb{R}^n\), \(x(0)= x_0\in \mathbb{R}^n\), where \(F\) is a set-valued map defined in \(\mathbb{R}^n\) with compact values, together with a function \(F: \mathbb{R}^n\to \mathbb{R}\) such that either \(F\) is locally Lipschitz continuous (in the Hausdorff sense) and \(V\) is lower ...
BACCIOTTI, Andrea +2 more
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Differential Equations, 2007
The functional differential inclusion with delay \[ \dot{x}\in F(t,x_t(\cdot)),\quad x_{t_0}(\cdot)=\varphi_0(\cdot) \] is considered. Here, \(x_t(\cdot)\in C_r, x_t(\theta)=x(t+\theta), -\tau\leq\theta\leq 0\), and \(\varphi(\cdot)\in C_r\) is the initial function.
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The functional differential inclusion with delay \[ \dot{x}\in F(t,x_t(\cdot)),\quad x_{t_0}(\cdot)=\varphi_0(\cdot) \] is considered. Here, \(x_t(\cdot)\in C_r, x_t(\theta)=x(t+\theta), -\tau\leq\theta\leq 0\), and \(\varphi(\cdot)\in C_r\) is the initial function.
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Learning potential function and differential inclusion
[Proceedings 1992] IJCNN International Joint Conference on Neural Networks, 2003A unified mathematical theory of neural learning is presented. A learning potential function for a neural network is introduced, and a novel dynamical system approach to nondifferentiable, global optimization problems is proposed. A differential inclusion (DI) for finding a global minimum of a learning potential function is derived.
M. Xiong, P. Wang
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