Infinite-Dimensional State-Space (IDEAS) Approach to Globally Optimal Design of Distillation Networks Featuring Heat and Power Integration

2004 ◽  
Vol 43 (24) ◽  
pp. 7826-7842 ◽  
Author(s):  
Konstantinos Holiastos ◽  
Vasilios Manousiouthakis
Keyword(s):  
Optimal Design ◽  
State Space ◽  
Infinite Dimensional ◽  
Dimensional State Space

Global Analysis of Nonlinear Time-Delayed Dynamical Systems

2011 ◽  
Author(s):  
Jian-Qiao Sun ◽  
Bo Song ◽  
Jie Yang
Keyword(s):  
Steady State ◽  
Dynamical Systems ◽  
State Space ◽  
Global Analysis ◽  
Stable Steady State ◽  
Domains Of Attraction ◽  
Infinite Dimensional ◽  
Dimensional State Space ◽  
Steady State Responses ◽  
State Responses

Time-delayed dynamical systems are defined in an infinite dimensional state-space. When the system has multiple stable steady-state responses, the global analysis of the system such as finding the domains of attraction and boundary basin has to be done in the infinite dimensional state-space. This paper examines this issue and shows that there are rich opportunities for global analysis research of nonlinear time-delayed dynamical systems.

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