Deliver me from my persecutors, for they are stronger than I
In the previous two Psalms we have the same context as this one. All three speak of snares and traps being laid secretly for David, so it appears that the three Psalms are linked. The heading of this Psalm tells us that this was written while David was in the Cave, so we could assume that all three Psalms are about the time when David fled from Saul and took refuge in the cave of Adullam (1Sam 22).
Attend unto my cry; for I am brought very low: deliver me from my persecutors; for they are stronger than I. (Psalm 142:6 KJV)
David was well aware that Saul and his army were stronger than he. This must have weighed heavy on him, since there were men, women and children with him. He would have felt the burden of their well-being on his own shoulders.
So David placed his burden upon the Lord, allowing Him to take on the responsibility for his life and the life of those with him:
…I cried unto the LORD with my voice; with my voice unto the LORD did I make my supplication. I poured out my complaint before him; I shewed before him my trouble. (Psalm 142:1-2 KJV)
It is important for us too to realise that the difficulties we face in life are bigger and stronger than us, and in doing so, to allow God to take them on for us. This is how true peace of mind can be developed:
Wherefore, if God so clothe the grass of the field, which to day is, and to morrow is cast into the oven, shall he not much more clothe you, O ye of little faith? Therefore take no thought, saying, What shall we eat? or, What shall we drink? or, Wherewithal shall we be clothed? … for your heavenly Father knoweth that ye have need of all these things. But seek ye first the kingdom of God, and his righteousness; and all these things shall be added unto you. (Matthew 6:30-33 KJV)