* Lost or forgotten key(s): This is the most common problem. You'll need a locksmith or a dealership. They can program new keys, often requiring proof of ownership. They don't "reset" the security system; they reprogram it to accept the new keys.
* Aftermarket alarm system issues: If you have an aftermarket alarm system installed, the reset procedure will depend entirely on the make and model of that alarm. Consult the alarm's instruction manual or contact the installer.
* Factory security system acting up (erratic locking/unlocking, lights flashing): This could be due to a faulty key fob battery, a problem with the vehicle's BCM (Body Control Module), or a wiring issue. A diagnostic scan by a mechanic or dealership is necessary to pinpoint the problem. They may find a way to reprogram or reset a malfunctioning component, but it's not a simple "reset" button.
* Security light flashing constantly: This almost always indicates a problem with the factory anti-theft system. Again, a diagnostic scan is needed to identify the cause.
In short: There is no universal reset button. You'll need professional help to diagnose and resolve most security issues on a 2001 Silverado, especially if it involves lost keys or persistent malfunctions. Attempting DIY solutions without proper knowledge can lead to further complications.