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→控制论中的耗散系统 Dissipative systems in control theory
As a special case of dissipativity, a system is said to be passive if the above dissipativity inequality holds with respect to the passivity supply rate <math> w(u(t),y(t)) = u(t)^Ty(t) </math>.
As a special case of dissipativity, a system is said to be passive if the above dissipativity inequality holds with respect to the passivity supply rate <math> w(u(t),y(t)) = u(t)^Ty(t) </math>.
As a special case of dissipativity, a system is said to be passive if the above dissipativity inequality holds with respect to the passivity supply rate 𝑤(𝑢(𝑡),𝑦(𝑡))=𝑢(𝑡)𝑇𝑦(𝑡).
As a special case of dissipativity, a system is said to be passive if the above dissipativity inequality holds with respect to the passivity supply rate 𝑤(𝑢(𝑡),𝑦(𝑡))=𝑢(𝑡)𝑇𝑦(𝑡).
作为耗散性的一个特例，如果上述耗散性不等式对于被动供给率𝑤(𝑢(𝑡),𝑦(𝑡))=𝑢(𝑡)𝑇𝑦(𝑡)成立，则称系统为无源系统。
The physical interpretation is that <math>V(x)</math> is the energy stored in the system, whereas <math>w(u(t),y(t))</math> is the energy that is supplied to the system.
The physical interpretation is that <math>V(x)</math> is the energy stored in the system, whereas <math>w(u(t),y(t))</math> is the energy that is supplied to the system.
The physical interpretation is that 𝑉(𝑥) is the energy stored in the system, whereas 𝑤(𝑢(𝑡),𝑦(𝑡)) is the energy that is supplied to the system.
The physical interpretation is that 𝑉(𝑥) is the energy stored in the system, whereas 𝑤(𝑢(𝑡),𝑦(𝑡)) is the energy that is supplied to the system.
物理解释是，𝑉(𝑥)是储存在系统中的能量，而𝑤(𝑢(𝑡),𝑦(𝑡))是供给系统的能量。
This notion has a strong connection with [[Lyapunov stability]], where the storage functions may play, under certain conditions of controllability and observability of the dynamical system, the role of Lyapunov functions.
This notion has a strong connection with [[Lyapunov stability]], where the storage functions may play, under certain conditions of controllability and observability of the dynamical system, the role of Lyapunov functions.
This notion has a strong connection with Lyapunov stability, where the storage functions may play, under certain conditions of controllability and observability of the dynamical system, the role of Lyapunov functions.
This notion has a strong connection with Lyapunov stability, where the storage functions may play, under certain conditions of controllability and observability of the dynamical system, the role of Lyapunov functions.
这个概念与'''<font color="#FFD700"> 李亚普诺夫稳定性Lyapunov stability</font>'''有很强的联系，其中，在动力系统能控性和可观测性一定的条件下，存储函数可以起到'''<font color="#FFD700"> 李亚普诺夫函数Lyapunov functions</font>'''的作用。