Many utilities allow grid tie. You should check with your electricity provider and find specifically what they will, and will not, allow, and what the installation/inspection requirements are. For a tiny system it may not be worth the hurdles you may have to jump through.
I would not do a 'guerrilla' installation, connecting an inverter to back feed the grid without approval of your utility or afoul of the laws in your particular location. In the U.S. this can result in criminal and civil liability as well as result in you possibly being unable to connect your property to the public utilities in the future. Additionally if you have a fire, such an installation could be a basis for your insurance company to deny your claim for compensation, leaving you personally liable for any injuries and property damage.
Another option, for a smaller system, which I use, is an inverter which will sync and switch between the utilities power and your locally generated power based upon the state of your batteries or storage. Both Outback and Schneider (trace, xantrex) have inverters which can do this (I have an SW4048 which has this mode) and you do not generally need a utilities permission for such a set up although you still will need to be in compliance with the codes for electrical wiring at your location. You will not be back feeding power to the grid, but will be running your loads off of locally produced and stored power when it is available and switching to grid power when it is not. The inverters designed for this handle it automatically and seamlessly. I couple this with a scheme using the relays in my inverter which can be set to turn on and off at adjustable voltages to increase the loads when the voltage is high and shed them as it drops. The downside is that you will need at least some batteries with such a system.