I understand what the problem is. If initially the object had some kind of rotation angle or movement, then when the frames are updated and when multiplied by the matrix, it does not become in its proper place, but adds value every time. Even if the original object is no longermoves and does not turn.how to solve this problem
So I don't like these vector movements)))

Not work

 aaa[f].matMul(cyl1.getTranslationMatrix()); or aaa[f].matMul(cyl1.getWorldTransformation()); - returns coordinates of order 6234 or 2323 in world space when the original(Source object cyl7) coordinates are - 6 ... 7 in world space

Yes,every vertex in world space.
My target mesh will consist of interconnected meshes of several objects, so to speak, it's easy to visualize the fragmented parts - skin tight muscles. Therefore, I need to get the global coordinates of the vertices of the objects as they look in the world inplace with rotation angles, and the target mesh will have to give a copy of the selected objects, and in places where I need this target mesh, I will link with new polygons .

 //Dont copy object. -

VVV = new GenericVertexController() {
            @Override
            public void apply() {         
                SimpleVector[] aaa = getSourceMesh();
                SimpleVector[] bbb = getDestinationMesh();           
                                int lll=aaa.length;
                                for (int f=0;f<lll;f++)
                                {
                                    //bbb[f].matMul(objSkinCyl7.getWorldTransformation());
                                    bbb[f].x = X77[f];
                                    bbb[f].y = Y77[f];
                                    bbb[f].z = Z77[f];
                                }
            }
        };
        VVV2 = new GenericVertexController() {
            @Override
            public void apply() {
                SimpleVector[] aaa = getSourceMesh();       
                int lll=aaa.length;
                SimpleVector[] hhh = new SimpleVector[lll];             
                X77 = new float[lll];
                Y77 = new float[lll];
                Z77 = new float[lll];
                for (int f=0;f<lll;f++)
                {                 
                    aaa[f].matMul(cyl7.getWorldTransformation());                           
                    X77[f] = aaa[f].x;
                    Y77[f] = aaa[f].y;
                    Z77[f] = aaa[f].z;
                }
            }
        };
cyl7.setVisibility(false);

///////////
///////////
///////////
//Copy object,but wrong rotate. Infinite rotation -


VVV = new GenericVertexController() {
            @Override
            public void apply() {             
                SimpleVector[] aaa = getSourceMesh();
                SimpleVector[] bbb = getDestinationMesh();

                                int lll=aaa.length;
                                for (int f=0;f<lll;f++)
                                {
                                    //bbb[f].matMul(objSkinCyl7.getWorldTransformation());
                                    bbb[f].x = X77[f];
                                    bbb[f].y = Y77[f];
                                    bbb[f].z = Z77[f];
                                }
            }
        };
        VVV2 = new GenericVertexController() {
            @Override
            public void apply() {               
                SimpleVector[] aaa = getSourceMesh();             
                int lll=aaa.length;
                SimpleVector[] hhh = new SimpleVector[lll];               
                X77 = new float[lll];
                Y77 = new float[lll];
                Z77 = new float[lll];
                for (int f=0;f<lll;f++)
                {                   
                    aaa[f].matMul(cyl7.getRotationMatrix());                 
                    X77[f] = aaa[f].x + cyl7.getTranslation().x;
                    Y77[f] = aaa[f].y + cyl7.getTranslation().y;
                    Z77[f] = aaa[f].z + cyl7.getTranslation().z;
                }
            }
        };

cyl7.setVisibility(false);

      Everything started to work.
Added to onDrawFrame -     

            cyl7.compile(true);
            cyl7.touch();
            objSkinCyl7.compile(true);
            objSkinCyl7.touch();
            cyl7.getMesh().applyVertexController();
            objSkinCyl7.getMesh().applyVertexController();

GenerateVertexController does not work in real time, makes a change in the object from the value (0) of the variable to "private" once and does not work anymore. I looked through the whole forum and I probably did it right. I also use jbullet in the project. Could it beis it that GenerateVertexController is not compatible with Jbullet in the same project?

and apply a texture to the mesh