Dissipative differential inclusions, set-valued energy storage and supply rate maps, and stability of discontinuous feedback systems

2013 ◽  
Vol 8 ◽  
pp. 83-108 ◽  
Author(s):  
Wassim M. Haddad ◽  
Teymur Sadikhov
Keyword(s):  
Energy Storage ◽  
Differential Inclusions ◽  
Feedback Systems ◽  
Supply Rate ◽  
Dissipative Differential Inclusions

Filippov–Pliss lemma and m-dissipative differential inclusions

2012 ◽  
Vol 56 (4) ◽  
pp. 1707-1717 ◽  
Author(s):  
Qamar Din ◽  
Tzanko Donchev ◽  
Dimitar Kolev
Keyword(s):  
Differential Inclusions ◽  
Dissipative Differential Inclusions

scholarly journals Relaxation of nonlocal m-dissipative differential inclusions

2019 ◽  
Vol 27 (3) ◽  
pp. 45-63
Author(s):  
S. Bilal ◽  
O. Cârjă ◽  
T. Donchev ◽  
N. Javaid ◽  
A. I. Lazu
Keyword(s):  
Differential Inclusion ◽  
Differential Inclusions ◽  
Solution Set ◽  
Limit Solution ◽  
Limit Solutions ◽  
Dissipative Differential Inclusions ◽  
Integral Solutions

AbstractWe show here that the set of the integral solutions of a nonlocal differential inclusion is dense in the set of the solution set of the corresponding relaxed differential inclusion. We further define a notion of limit solution and show that the set of limit solutions is closed and is the closure of the set of integral solutions. An illustrative example is provided.

scholarly journals One Sided Lipschitz Evolution Inclusions in Banach Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3265
Author(s):  
Ali N. A. Koam ◽  
Tzanko Donchev ◽  
Alina I. Lazu ◽  
Muhammad Rafaqat ◽  
Ali Ahmad
Keyword(s):  
Banach Spaces ◽  
Lipschitz Condition ◽  
Differential Inclusions ◽  
Initial Conditions ◽  
Lipschitz Constant ◽  
Evolution Inclusions ◽  
Nonlocal Initial Conditions ◽  
Limit Solution ◽  
The Right ◽  
Dissipative Differential Inclusions

Using the notion of limit solution, we study multivalued perturbations of m-dissipative differential inclusions with nonlocal initial conditions. These solutions enable us to work in general Banach spaces, in particular L1. The commonly used Lipschitz condition on the right-hand side is weakened to a one-sided Lipschitz one. No compactness assumptions are required. We consider the cases of an arbitrary one-sided Lipschitz condition and the case of a negative one-sided Lipschitz constant. Illustrative examples, which can be modifications of real models, are provided.

Progress and perspectives on halide lithium conductors for all-solid-state lithium batteries

2020 ◽  
Vol 13 (5) ◽  
pp. 1429-1461 ◽  
Author(s):  
Xiaona Li ◽  
Jianwen Liang ◽  
Xiaofei Yang ◽  
Keegan R. Adair ◽  
Changhong Wang ◽  
...  
Keyword(s):  
Energy Storage ◽  
Solid State ◽  
Lithium Batteries ◽  
Electrochemical Stability ◽  
Superionic Conductors ◽  
Fundamental Understanding ◽  
Potential Applications ◽  
Synthesis Routes

This review focuses on fundamental understanding, various synthesis routes, chemical/electrochemical stability of halide-based lithium superionic conductors, and their potential applications in energy storage as well as related challenges.

An aqueous hybrid electrolyte for low-temperature zinc-based energy storage devices

2020 ◽  
Vol 13 (10) ◽  
pp. 3527-3535 ◽  
Author(s):  
Nana Chang ◽  
Tianyu Li ◽  
Rui Li ◽  
Shengnan Wang ◽  
Yanbin Yin ◽  
...  
Keyword(s):  
Energy Storage ◽  
Low Temperature ◽  
Energy Storage Devices ◽  
Storage Devices

A frigostable aqueous hybrid electrolyte enabled by the solvation interaction of Zn2+–EG is proposed for low-temperature zinc-based energy storage devices.

Ultrahigh Energy Storage Performances of Polymer-based Nanocomposite via Interfaces Engneering

2020 ◽  
Author(s):  
Peng Wang ◽  
Zhongbin Pan ◽  
Weilin Wang ◽  
Jianxu Hu ◽  
Jinjun Liu ◽  
...  
Keyword(s):  
Dielectric Constant ◽  
Energy Storage ◽  
High Performance ◽  
Breakdown Strength ◽  
Composite Films ◽  
Power Electronic ◽  
Ultrahigh Energy

High-performance electrostatic capacitors are in urgent demand owing to the rapidly development of advanced power electronic applications. However, polymer-based composite films with both high breakdown strength (Eb) and dielectric constant...

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