Fundamentals of stability


2.1   Lyapunov criteria

2.2   Positive definite matrices

2.3   Lyapunov theory for linear time-invariant systems

2.4   Lyapunov equations

2.5   Stability with uncertainty

2.6   Exercises

This chapter deals briefly with the problem of stability, the main requirement of a control system. In going over some basics in systems analysis, the emphasis is on some advanced mathematical tools (eg. Lyapunov equations) which will be useful below.

2.1   Lyapunov criteria

The equilibrium points of an autonomous dynamical system ...

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