Semidefinite lyapunov functions stability and stabilization
Copyright policy )Semidefinite lyapunov functions stability and stabilization
The paper gives some weakening of the basic Lyapunov theorems by obtaining stability and asymptotic stability for nonnegatively definite Lyapunov functions. These results allow simpler proofs for some previously known results and some extension of the stabilization results for systems that are affine in the control.
semidefinite Lyapunov functions, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Lyapunov and storage functions, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Stabilization of systems by feedback, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, stability, nonlinear stabilization
semidefinite Lyapunov functions, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Lyapunov and storage functions, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Stabilization of systems by feedback, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, stability, nonlinear stabilization
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