scholarly journals Averaged Optimization and Finite-Time Thermodynamics

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 912 ◽  
Author(s):  
Anatoly Tsirlin ◽  
Ivan Sukin
Keyword(s):  
Dynamical Systems ◽  
Optimality Conditions ◽  
Finite Time ◽  
Finite Time Thermodynamics ◽  
Control Variables ◽  
Mean Values ◽  
Extremum Problems

The paper considers typical extremum problems that contain mean values of control variables or some functions of these variables. Relationships between such problems and cyclic modes of dynamical systems are explained and optimality conditions for these modes are found. The paper shows how these problems are linked to the field of finite-time thermodynamics.

scholarly journals Finite-time cluster synchronization of coupled dynamical systems with impulsive effects

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Tianhu Yu ◽  
◽  
Jinde Cao ◽  
Chuangxia Huang ◽  
◽  
...  
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Impulsive Effects ◽  
Cluster Synchronization

Introduction

2011 ◽  
Author(s):  
Wassim M. Haddad ◽  
Sergey G. Nersesov
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Large Scale ◽  
Interconnected Systems ◽  
Large Scale Systems ◽  
Vector Lyapunov Functions ◽  
Finite Time Stabilization ◽  
And Control ◽  
Interconnected Dynamical Systems

This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, with an emphasis on vector Lyapunov function methods and vector dissipativity theory. It examines large-scale continuous-time interconnected dynamical systems and describes thermodynamic modeling of large-scale interconnected systems, along with the use of vector Lyapunov functions to control large-scale dynamical systems. It also discusses finite-time stabilization of large-scale systems via control vector Lyapunov functions, coordination control for multiagent interconnected systems, large-scale impulsive dynamical systems, finite-time stabilization of large-scale impulsive dynamical systems, and hybrid decentralized maximum entropy control for large-scale systems. This chapter provides a brief introduction to large-scale interconnected dynamical systems as well as an overview of the book's structure.

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