In nonlinear control, the technique of Lyapunov redesign refers to the design where a stabilizing state feedback controller can be constructed with knowledge of the Lyapunov function V {\displaystyle V} . Consider the system x ˙ = f ( t , x ) + G ( t , x ) [ u + δ ( t , x , u ) ] {\displaystyle {\dot {x}}=f(t,x)+G(t,x)[u+\delta (t,x,u)]} where x ∈ R n {\displaystyle x\in R^{n}} is the state vector and u ∈ R p {\displaystyle u\in R^{p}} is the vector of inputs.
In nonlinear control, the technique of Lyapunov redesign refers to the design where a stabilizing state feedback controller can be constructed with knowledge of the Lyapunov function V {\displaystyle V} . Consider the system x ˙ = f ( t , x ) + G ( t , x ) [ u + δ ( t , x , u ) ] {\displaystyle {\dot {x}}=f(t,x)+G(t,x)[u+\delta (t,x,u)]} where x ∈ R n {\displaystyle x\in R^{n}} is the state vector and u ∈ R p {\displaystyle u\in R^{p}} is the vector of inputs.
Source: Wikipedia "Lyapunov redesign" · CC BY-SA 4.0
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