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Stability of State-Space: Lyapunov Stability Theory

Updated 18 May 2026

Contents & prerequisites

Prerequisites

Mixed H₂/H∞ Control: Combined Performance and Robustness

Unlocks

Lyapunov Direct Method: V(x) > 0, V̇(x) < 0

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Stability of State-Space: Lyapunov Stability Theory

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Learning

PreviousSolution to State Equation: x(t) = Φ(t)x(0) + ∫Φ(t-τ)Bu dτ NextStabilizability: All Unstable Modes are Controllable

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