Minimum energy control

In control theory, the minimum energy control is the control $u(t)$ that will bring a linear time invariant system to a desired state with a minimum expenditure of energy.

Let the linear time invariant (LTI) system be

with initial state $x(t_0)=x_0$ . One seeks an input $u(t)$ so that the system will be in the state $x_1$ at time $t_1$ , and for any other input $\bar{u}(t)$ , which also drives the system from $x_0$ to $x_1$ at time $t_1$ , the energy expenditure would be larger, i.e.,

单词	Minimum energy control
释义	Minimum energy control 英语百科 Minimum energy control In control theory, the minimum energy control is the control $u(t)$ that will bring a linear time invariant system to a desired state with a minimum expenditure of energy. Let the linear time invariant (LTI) system be with initial state $x(t_0)=x_0$ . One seeks an input $u(t)$ so that the system will be in the state $x_1$ at time $t_1$ , and for any other input $\bar{u}(t)$ , which also drives the system from $x_0$ to $x_1$ at time $t_1$ , the energy expenditure would be larger, i.e.,
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